Astm mnl 64 2010

Dr Kobasko is the author and co-author of more than 250 scientific and technical papers, several books and more than 30 patents and certificates He received the Da Vinci Diamond Award and Certificate in recognition of an outstanding contribution to thermal science Dr Nikolai Kobasko was Editor-in-Chief and Co-Editor of the WSEAS Transactions on Heat and Mass Transfer; and is currently a member of the Editorial Board for the International Journal of Mechanics (NAUN) and the Journal of ASTM International (JAI) Dr Aronov received his B S and Masters degrees in Thermal Science and Fluid Dynamics from the St Petersburg Polytechnic Institute in Russia Dr Aronov received his Ph.D degree in Thermal Science and Engineering from the Institute of Metallurgical Thermal Engineering also in Russia He is the Chief Executive Officer of IQ Technologies, Inc of Akron, Ohio Dr Aronov has 37 years of experience in the field of heat and mass transfer, combustion, and thermodynamics in industrial, commercial, and residential heat transfer systems He has extensive experience in experimental research, mathematical modeling of heat and mass transfer in combustion forging, and heat treating furnaces and quenching machinery Dr Aronov also has extensive experience in the design and development of heating and cooling systems for forging and heat-treating applications Dr Aronov has published more than 70 technical papers and has ten patents, four of which are related to different types of quenching equipment and technology Joseph A Powell Joseph A Powell received his B.S in Industrial Management from the University of Akron, and was granted a Juris Doctorate from the University of Akron School of Law Mr Powell is President, and a principal of IQ Technologies Inc, and of Akron Steel Treating Company (AST), a family business, in Akron, Ohio Mr Powell is a founding member of the Heat Treating Network part of the Metal Treating Institute, a member of the Akron Chapter of ASM, the ASM/Heat Treating Society, and the ASM Quenching and Cooling Committee He is also a member of the Metal Treating Institute (MTI), an associate member of the National Tooling & Machining Association (NTMA), and the Summit County Machine Shop Group Mr Powell has a patent for “Variable Cooling Rate Quench Media, Cooling Rate Monitoring System and Real Time Computerized Control System for the Quenching of Metals during Heat Treatment or other Controlled Cooling or Solidification Operations.” George E Totten, Ph.D., FASM George E Totten received his B.S and Masters degrees from Fairleigh Dickinson University in New Jersey and his Ph.D from New York University Dr Totten is past president of the International Federation for Heat Treating and Surface Engineering (IFHTSE) and a fellow of ASM International, SAE International, IFHTSE, and ASTM International Dr Totten is a Visiting Research Professor at Portland State University, Portland, Oregon, and he is also president of G.E Totten and Associates LLC, a research and consulting firm specializing in thermal processing and industrial lubrication problems Dr Totten is the author, coauthor, or editor of over 500 publications, including patents, technical papers, book chapters, and books and sits on several journal editorial boards, including the Journal of ASTM International c.c1-c4_195854.indd ASTM INTERNATIONAL www.astm.org ISBN: 978-0-8031-7019-3 Stock #: MNL64 Intensive Quenching Systems: Engineering and Design Dr Michael A Aronov Intensive Quenching Systems: Engineering and Design 100% Part Cracking / Distortion Dr Kobasko received his Ph.D from the National Academy of Sciences of Ukraine He is a leading expert on quenching and heat transfer during the hardening of steels He was the Head of the laboratory of the Thermal Science Institute of the National Academy of Sciences of Ukraine He is Director of Technology and Research and Development for IQ Technologies, Inc., Akron, Ohio and President of Intensive Technologies, Ltd, Kyiv, Ukraine The aim of both companies is material savings, ecological problem-solving, and increasing service life of steel parts He is an ASM International Fellow (FASM) Kobasko | Aronov | Powell | Totten Nikolai I Kobasko, PhD, FASM 0% Coo li ng R ate N.I Kobasko, M.A Aronov, J.A Powell and G.E Totten 11/10/10 6:26 PM Intensive Quenching Systems: Engineering and Design N I Kobasko, M A Aronov, J A Powell, and G E Totten ASTM Stock Number: MNL64 ii Library of Congress Cataloging-in-Publication Data Intensive quenching systems : engineering and design / N.I Kobasko [et al.] p cm Includes bibliographical references and index “ASTM stock number: MNL64.” ISBN 978-0-8031-7019-3 Steel—Quenching I Kobasko, N I TN752.Q4I57 2010 672.3’6—dc22 2010037802 Copyright ª 2010 ASTM International, West Conshohocken, PA All rights reserved This material may not be reproduced or copied, in whole or in part, in any printed, mechanical, electronic, film, or other distribution and storage media, without the written consent of the publisher Photocopy Rights Authorization to photocopy items for internal, personal, or educational classroom use of specific clients is granted by ASTM International provided that the appropriate fee is paid to ASTM International, 100 Barr Harbor Drive, PO Box C700 West Conshohocken, PA 19428-2959, Tel: 610-832-9634; online: http://www.astm.org/copyright/ ASTM International is not responsible, as a body, for the statements and opinions advanced in the publication ASTM does not endorse any products represented in this publication Printed in Newburyport, MA November, 2010 iii Foreword THIS PUBLICATION, Intensive Quenching Systems: Engineering and Design, was sponsored by Committee D02 on Petroleum Products and Lubricants This is Manual 64 in ASTM International’s manual series v Contents Preface vi Introduction vii Chapter 1—Thermal and Metallurgical Basics of Design of High-Strength Steels by N I Kobasko Chapter 2—Transient Nucleate Boiling and Self-Regulated Thermal Processes 24 by N I Kobasko Chapter 3—Critical Heat Flux Densities and Characteristics of Heat Transfer During Film Boiling 45 by N I Kobasko, M A Aronov, and J A Powell Chapter 4—Convective Heat Transfer 62 by N I Kobasko Chapter 5—Generalized Equations for Determination of Cooling Time for Bodies of Any Shape During Quenching 74 by N I Kobasko Chapter 6—Regular Thermal Process and Kondratjev Form Factors 91 by N I Kobasko Chapter 7—Stress State of Steel Parts During Intensive Quenching 107 by N I Kobasko Chapter 8—Steel Quenching in Liquid Media Under Pressure 121 by N I Kobasko Chapter 9—The Steel Superstrengthening Phenomenon 135 by N I Kobasko Chapter 10—Intensive Steel Quenching Methods 151 by N I Kobasko Chapter 11—Design of Industrial Quenching Systems 170 by N I Kobasko and G E Totten Chapter 12—Review of Practical Applications of Intensive Quenching Methods 185 by M A Aronov, N I Kobasko, and J A Powell Chapter 13—Inverse Problems in Quench Process Design 210 by N I Kobasko and V V Dobryvechir Index 230 vi Preface From 1964 to 1999, one of the authors of this volume, Dr Nikolai Kobasko, worked at the Thermal Science and Engineering Institute of the National Academy of Sciences of Ukraine in Kyiv At the institute, there were approximately 1,200 scientists and engineers working in all areas of thermal science: heat conduction, radiation, thermal dynamics, and fluid dynamics In addition to the thermal sciences, Dr Kobasko placed a heavy emphasis on metallurgical science and physics, as demonstrated in his book Steel Quenching in Liquid Media Under Pressure, published in 1980 The present book, Intensive Quenching Systems: Engineering and Design, is an attempt to knit together three disciplines: thermal sciences, metallurgy, and physics The cross-pollination of these disciplines shows the fundamental correlations that exist between metallurgical processes and the underlying thermal science These correlations form the foundation for more recent computer modeling of the complex physical interactions that happen in the heat-treating process Why is it important to read our book? Knowing the fundamentals of the quenching processes, the reader will be able to solve the following problems: Calculating the cooling time (for dwell time in the intensive quench for speed of conveyors, etc.) that will provide an optimal quenched layer after intensive quenching of steel parts Creating beneficial high compressive residual stresses at the surface of steel parts, even when they are throughhardened Using the benefits of the “steel superstrengthening” phenomenon to make higher-power-density parts Developing synergies between the benefits from high compressive residual stresses and the superstrengthening phenomenon to increase the fatigue life and service life of steel parts significantly Improving the environmental conditions in a factory by switching from oil and polymer quenching to clean, fast intensive quenching in plain water—thereby allowing the incorporation of the heat-treating processes into the part manufacturing cell Optimizing distortion control in the quenching of steel parts In essence, this book is intended for use by both metallurgists and mechanical engineers to assist them in their work designing and implementing quenching systems A critical component of any quench system is the quenchant This book is an effort to break down the quenching process into many smaller, manageable increments and to examine the dynamics present at surface of the part, as well as how each phase of the quench and each phase in the material will affect the end result This book will also be useful for undergraduate and postgraduate students who are interested in learning more about generalized equations for calculating the cooling time of any configuration of steel parts and the duration of the transient nucleate boiling process Both generalized equations create a basis for quench system engineering design We will show that it is much easier to evaluate the generalized Biot number (value of BiV) than to determine the Grossmann factor H (see Chapters and 13) The use of the generalized Biot number will allow the designer to get the quenching process quickly into the proper “neighborhood,” from where more sophisticated finite element and computation fluid dynamics (CFD) modeling (or actual part trials) can fine-tune the process to its proper “home.” The book examines the use of intensive water quenching, IQ processes, to achieve the desired mechanical properties in steel parts made with steel alloys of lower hardenability (and presumably less expensive) Higher cooling rates and the higher hardenability of the intensive quench process also means that the carburization processing time can be reduced (or eliminated) Since less carbon content is needed in the carbon gradient, intensive quenching in water can achieve the same hardness profile as oil-quenching a part that has been carburized to a deeper total case In particular, this book discusses the development of high compressive stresses on the part’s surface, both during quench cooling (“current” compressive stress) and as residual compressive stress, through the establishment of a very high (“intensive”) cooling rate, applied uniformly through the martensite transformation range, and the control of distortion The beneficial effects of these compressive stresses on a part’s properties are also discussed In addition, the authors examine the relationship between hardness (and the corresponding tensile strength, yield strength, and ductility) and the management of residual stress profiles in the hardened layer of the part to increase the fatigue life of the hardened part vii Introduction This ASTM manual, Intensive Quenching Systems: Engineering and Design, contains 13 chapters The primary focus of this book is on highly forced heat transfer—that is, intensive quenching (IQ) processes Particular attention is paid to the replacement of relatively expensive alloyed steels with less expensive carbon steels for machine parts subjected to normal operating conditions The use of carbon steels with increased strength properties instead of alloyed steels will provide opportunities for cost savings related to the reduction of alloying elements such as tungsten, nickel, molybdenum, chromium, and others In addition, IQ processes, which are based on water and aqueous solutions, provide an excellent and environmentally friendly alternative to petroleum quenching compositions These various advantages are accomplished through the use of the newly developed IQ processes described herein Chapter describes contemporary approaches of obtaining high-strength materials High-temperature and lowtemperature thermomechanical treatments are discussed, and alternative methods of creating high-strength materials by intensive quenching are considered The primary focus of this chapter and of the manual as a whole is to describe the attainment of high-strength materials by intensive quenching within the martensite range It is emphasized that the combination of high-temperature and low-temperature thermomechanical treatments with accelerated cooling within the martensite range significantly increases a part’s mechanical and plastic material properties It is shown that in some cases even intensive quenching of low-carbon alloy steels by itself may increase yield strength by 15 % and impact strength by 250 % Intensive quenching results in additional material strengthening and creation of high surface compressive residual stresses—both of which increase the service life of steel parts IQ process technology is inexpensive and beneficial Chapter is a study of transient nucleate boiling during quenching of steel, which includes the self-regulated thermal process The main purpose of this chapter is to describe the utilization of the duration of transient nucleate boiling as a basis for designing quenching processes The generalized equation for the calculation of the duration of transient nucleate boiling relative to the creation of IQ methods is discussed Calculation and experimental results correlate well These processes are explained and illustrated by many practical examples used in the heat-treating industry Chapter shows that the cooling capacity of quenchants can best be characterized by the critical heat flux densities and heat transfer coefficients during the three phases of cooling: film boiling process nucleate boiling process single-phase convection A new and preferred technique for determining the critical heat flux densities is described Chapter presents the criteria (dimensionless dependencies) for the calculation of convective heat transfer coefficients with respect to steel quenching in directed water streams and intensive jets The primary focus is on intensive quenching of steel parts in water flow, and calculation examples are provided It is shown that very intensive quenching of splined cylindrical specimens in pressurized water jets prevents crack formation and increases surface hardness The results can be used for process and equipment design and can be combined with other information provided throughout this text to optimize quenching of steel parts Chapter describes the generalized equation for calculation of the cooling time for bodies of arbitrary shape, based on regular thermal condition theory The generalized equation can be used for designing manufacturing processes and calculation of conveyor speeds for quenching systems This information is obtained from simplified and rapid calculations and is required during the initial stages of design of heat-treating and quenching systems for steel parts The equation makes it possible to calculate the ideal critical size of steel parts of low-hardenability steels to provide an optimal quenched layer and residual stress distribution The equation may also be used for the design of two-step interrupted intensive quenching and two-step quenching processes combined with cryogenic treatment Comparison of the generalized equation with various analytical solutions and calculation accuracy is discussed Chapter describes Kondratjev form factors (K), which are used in the generalized equations described throughout this book Also discussed are three methods for their determination: analytical, numerical, and experimental, which have been developed for practical use The results provided here can be used for creating databases of Kondratjev form factors suitable for use with different part geometries Throughout this discussion, there are literature references to the development and use of Kondratjev numbers Finally, the determination of average heat transfer coefficients using standardized probes is discussed Chapter describes the distribution of transient and residual stresses during steel quenching It has been established that high compressive stresses are formed at the surface of parts quenched under conditions of intensive cooling It has also been shown that there exists an optimal depth of the hardened layer where compressive stresses reach their maximum value The results introduced in this chapter were used for the creation of three intensive quenching methods designated IQ-1, IQ-2, and IQ-3 Due to high residual compressive stresses at the surface, the service life of steel parts has been significantly increased Chapter describes the characteristics of steel quenching under pressure It has been shown that for conditions where the Biot number Bi approaches infinity, it is possible to control the surface temperature during nucleate boiling This expands the potential for low-temperature thermomechanical treatment (LTMT) and steel quenching in water under pressure Illustrations of the implementation of such processes are provided High-temperature thermomechanical treatment (HTMT) is widely used for the mass production of rebars Information provided in this chapter suggests the possibility of combining HTMT with LTMT and intensive quenching to reduce production costs and increase service life In addition, these new technologies are environmentally friendly In Chapter 9, it is shown that intensive cooling within the martensite range results in additional strengthening viii INTRODUCTION (“superstrengthening”) of a material, with simultaneous improvement of its plastic properties This phenomenon is observed when the cooling rate within the martensite range is higher than a critical value There is also a different point of view, according to which very fast cooling above the martensite start temperature results in additional strengthening of metals due to “freezing of vacancies” formed during heating Both hypotheses are presented in this chapter The mechanism of additional improvement of the material’s mechanical properties is explained, as well Five intensive steel quenching methods, designated IQ-1 through IQ-5, are discussed in Chapter 10, and illustrations of their application are provided IQ processes result in the creation of high compressive residual stresses at the surface of steel parts and small tensile residual stresses at the core Such an optimal residual stress distribution created by intensive cooling within the martensite range significantly increases the mechanical properties of a material and improves its plastic properties Examples of the use of simplified calculations are provided to aid in the design and application of intensive quenching processes Chapter 11 describes the calculation of conveyor speed for various kinds of conveyors and devices These results are particularly of interest for designers dealing with industrial line construction Chapter 12 presents the rich experience of the use of IQ methods in the United States and other countries It has been shown that, compared to traditional oil quenching, the service life of steel parts after intensive quenching increases by 1.5 to times, or even more in some cases The final chapter analyzes heat flux densities and heat transfer coefficients obtained by solving heat conduction inverse problems Current methods of solving inverse heat conduction problems are described These methods are needed to study the initial period of the quenching process and to determine the cooling characteristics of different types of quenchants The need for many industries to develop standardized probes and methods for the quenchant cooling capacity evaluation on the basis of solving inverse heat conduction problems is discussed This manual contains results published previously in the monograph “Steel Quenching in Liquid Media Under Pressure” and results that were achieved by IQ Technologies, Inc (see Chapter 12), a company established in 1999 by Joseph A Powell (president), Dr Michael A Aronov (CEO), and Dr Nikolai I Kobasko (COO), Fellow of ASM International (FASM) Later, John Vanas (president of the Euclide Heat Treating Company) built a furnace for batch intensive quenching and became the vice president of IQ Technologies Due to their enthusiastic and creative work, IQ processes have become familiar to a wide audience in the United States We would like to acknowledge the continued and vital financial support of the Edison Materials Technology Center (EMTEC) in Dayton, Ohio, for the development of IQ technology Our thanks go to Dr George E Totten, FASM, for the idea to write this book, his support, and his editing We also acknowledge prior fruitful cooperation with Prof Hans M Tensi, FASM, and Prof Bozidar Lisˇˇcicˇ, FASM, for their contributions to the IQ processes, especially measurements of their intensity And finally, we would like to express special appreciation to Deformation Control Technology, Inc., for its very fruitful cooperation, to many other U.S companies with whom IQ Technologies has worked, and to Ukrainian colleagues from the Thermal Science Institute of the National Academy of Sciences of Ukraine and Intensive Technologies, Ltd., Kyiv, Ukraine Dr Kobasko is the author and co-author of more than 250 scientific and technical papers, several books and more than 30 patents and certificates He received the Da Vinci Diamond Award and Certificate in recognition of an outstanding contribution to thermal science Dr Nikolai Kobasko was Editor-in-Chief and Co-Editor of the WSEAS Transactions on Heat and Mass Transfer; and is currently a member of the Editorial Board for the International Journal of Mechanics (NAUN) and the Journal of ASTM International (JAI) Dr Aronov received his B S and Masters degrees in Thermal Science and Fluid Dynamics from the St Petersburg Polytechnic Institute in Russia Dr Aronov received his Ph.D degree in Thermal Science and Engineering from the Institute of Metallurgical Thermal Engineering also in Russia He is the Chief Executive Officer of IQ Technologies, Inc of Akron, Ohio Dr Aronov has 37 years of experience in the field of heat and mass transfer, combustion, and thermodynamics in industrial, commercial, and residential heat transfer systems He has extensive experience in experimental research, mathematical modeling of heat and mass transfer in combustion forging, and heat treating furnaces and quenching machinery Dr Aronov also has extensive experience in the design and development of heating and cooling systems for forging and heat-treating applications Dr Aronov has published more than 70 technical papers and has ten patents, four of which are related to different types of quenching equipment and technology Joseph A Powell Joseph A Powell received his B.S in Industrial Management from the University of Akron, and was granted a Juris Doctorate from the University of Akron School of Law Mr Powell is President, and a principal of IQ Technologies Inc, and of Akron Steel Treating Company (AST), a family business, in Akron, Ohio Mr Powell is a founding member of the Heat Treating Network part of the Metal Treating Institute, a member of the Akron Chapter of ASM, the ASM/Heat Treating Society, and the ASM Quenching and Cooling Committee He is also a member of the Metal Treating Institute (MTI), an associate member of the National Tooling & Machining Association (NTMA), and the Summit County Machine Shop Group Mr Powell has a patent for “Variable Cooling Rate Quench Media, Cooling Rate Monitoring System and Real Time Computerized Control System for the Quenching of Metals during Heat Treatment or other Controlled Cooling or Solidification Operations.” George E Totten, Ph.D., FASM George E Totten received his B.S and Masters degrees from Fairleigh Dickinson University in New Jersey and his Ph.D from New York University Dr Totten is past president of the International Federation for Heat Treating and Surface Engineering (IFHTSE) and a fellow of ASM International, SAE International, IFHTSE, and ASTM International Dr Totten is a Visiting Research Professor at Portland State University, Portland, Oregon, and he is also president of G.E Totten and Associates LLC, a research and consulting firm specializing in thermal processing and industrial lubrication problems Dr Totten is the author, coauthor, or editor of over 500 publications, including patents, technical papers, book chapters, and books and sits on several journal editorial boards, including the Journal of ASTM International c.c1-c4_195854.indd ASTM INTERNATIONAL www.astm.org ISBN: 978-0-8031-7019-3 Stock #: MNL64 Intensive Quenching Systems: Engineering and Design Dr Michael A Aronov Intensive Quenching Systems: Engineering and Design 100% Part Cracking / Distortion Dr Kobasko received his Ph.D from the National Academy of Sciences of Ukraine He is a leading expert on quenching and heat transfer during the hardening of steels He was the Head of the laboratory of the Thermal Science Institute of the National Academy of Sciences of Ukraine He is Director of Technology and Research and Development for IQ Technologies, Inc., Akron, Ohio and President of Intensive Technologies, Ltd, Kyiv, Ukraine The aim of both companies is material savings, ecological problem-solving, and increasing service life of steel parts He is an ASM International Fellow (FASM) Kobasko | Aronov | Powell | Totten Nikolai I Kobasko, PhD, FASM 0% Coo li ng R ate N.I Kobasko, M.A Aronov, J.A Powell and G.E Totten 11/10/10 6:26 PM 226 INTENSIVE QUENCHING SYSTEMS: ENGINEERING AND DESIGN Fig 19—Temperature versus time at the surface (points 1–7) and at the core (point 8) of forging when quenching in water flow in the fixture equation, which takes into account the duration of the nucleate boiling process, is introduced: W¼ L aL ẳ ; s X ỵ b ln hịK 17ị where: W is the conveyor speed; L is the conveyor’s length; s is the duration of the transient nucleate boiling process; a is the thermal diffusivity of steel; K is the Kondratjev form factor; b ¼ 3.21; and W ¼ 0.24k (where k ¼ 1, 2, or for plate-shaped, cylindrical, or spherical steel parts, respectively) Eq 17 is used when quenching parts in water and watersalt solutions The results can be used for designing a new twostep quenching technology As the first step, steel parts are cooled in the water-salt solution of optimal concentration During the second step, washing and intensive cooling within the martensite range are performed The cooling time for the first step is regulated by the conveyor speed This is illustrated by the example below Example 13.5 Spheres made of AISI 52100 steel are quenched in water-salt solutions of optimal concentration from 860C The temperature of the water-salt solution is 20C, and it boils at 105C For spheres of 50-mm diameter, determine the conveyor speed that provides delivery of the spheres at the end the nucleate boiling process Assume that the conveyor length is 1.2 m The average values of thermal conductivity k and thermal diffusivity a are 22.5 W/mK and 5.3 106 m2/s, respectively To perform the calculations, it necessary to know the value of #I ln h ¼ ln ; #II where (see Chapter 2):   2kð#0  #I Þ 0:3 ; #I ẳ b R #II ẳ ẵaconv #II ỵ #uh ị 0:3 ; b b ẳ 7.36; TABLE 9Comparison of cooling time calculation from 860C based on both CFD analysis and the generalized equation (Eq 69) of Chapter Cooling time(s) Fig 20—Temperature versus time at different points of a semiaxle: 1, core; 2, surface at a distance of and 0.6 m [33] Core temperature Calculated CFD analysis Error (%) Av Error (%) 500C 14.6 14.8 1.4 — 400C 18 17.7 1.7 3.6 300C 23.7 22 7.7 — CHAPTER 13 n k is the thermal conductivity, with an average value of 22.5 W/mK; #0 ¼ T0 – TS; T0 is the austenitizing temperature of 860C; TS is the saturation temperature, 105C; Tm is the quenchant temperature; R is the radius or half the thickness of the plate; aconv is the convective heat transfer coefficient in W/m2K; #uh ¼ TS – Tm; #I is the temperature at the beginning of the nucleate boiling process; and #II is the temperature at the end of the nucleate boiling process The results of calculations for Example 13.5 are presented in Table 10 The following equation is used when quenching parts in oils (see Chapter 11): W¼ L aLKn ¼ ; s ðX þ ln hÞK ð18Þ where: Kn is the Kondratjev number (a dimensionless value); and T0  Tm ln h ¼ ln T  Tm The Kondratjev number Kn can be found by solving an inverse heat conduction problem with averaging of the results of calculations, as shown in Table 11 for oil depending on the size of specimens More information on solving inverse problems is available in [1,2,26,27] Average values of heat transfer coefficients can be also found experimentally by using ASTM standard probes [44] TABLE 10—Cooling time and conveyor speed calculation results depending on the size of cylindrical specimens Dia (mm) #I (C) s (s) W (m/s) W (m/h) 30 10.93 16.5 0.073 262 40 10 27 0.044 159.6 50 9.38 39.8 0.03 108.5 TABLE 11—Kondratjev number Kn for conventional oils calculated on the basis of experimental data obtained by different authors [45,46] Cylinder dia (mm) Malinkina and Lomakin [45] Kobasko and Totten [46] Kobasko and Dobryvechir Average value of Kn 10.0– 12.7 0.18 0.15 — 0.165 20–25 0.23 0.205 0.26 0.23 30 0.27 — 0.28 0.275 40 0.30 — — 0.30 50 0.33 0.28 0.30 0.305 60 0.36 — — — INVERSE PROBLEMS IN QUENCH PROCESS DESIGN 227 Table 11 shows that Kondratjev numbers during nucleate boiling change very slowly with the changing of the sample diameter Using these characteristics, it is possible to perform simplified and rapid calculations with an accuracy acceptable for practical use Evaluation of Kondratjev numbers for different quenchants are presented in [31,46–48] 13.10 DISCUSSION Initial heat flux densities and heat transfer coefficients are important parameters to predict the film boiling process, temperature, and residual stress distribution during computer simulation of the quenching processes That is why it is necessary to create databases of cooling characteristics of quenchants that include critical heat flux densities and heat transfer coefficients This can be done successfully by the use of computer programs such as IQLab [30] For determination of critical heat flux densities, it is preferable to use silver cylindrical probes with rounded ends (see Chapter 3), because silver provides film boiling, which is necessary for determining these critical heat flux densities For determination of heat transfer coefficients, on the other hand, it is preferable to use austenitic steel cylindrical probes (e.g., the Liscic-Nanmac probe of Fig 1), because no structural transformations are observed during cooling (structural transformations considerably complicate the calculations and demand a knowledge of the thermal and physical properties of each structure) It has been shown that CFD analysis allows the calculation of initial heat flux densities during immersion of steel parts into a quenchant By comparison of the initial heat flux density with the first critical heat flux density qcr1, it is possible to predict heat transfer modes: If the initial heat flux density is less than qcr1, then full film boiling will be absent; if it is higher than qcr1, then full film boiling will be present When these values are equal, transition boiling may be observed This information is very important for engineers and designers The calculations obtained on the basis of generalized equation and CFD modeling agree very well with the experimental data and with each other CFD simulation predicts stagnant areas, which may have an unfavorable effect on the distribution of current and residual stresses and may result in the quench crack formation due to a nonuniform martensite shell over the surface of the steel parts A nonuniformity of the heat transfer at the part surface is connected with the nonuniform distribution of water flow rates and the appearance of stagnant zones This information is also very important for engineers and designers Unfortunately, there is no appropriate database for the cooling capacity of different kinds of quenchants However, highly developed methods, theoretically and practically, are available now for evaluating boundary conditions on the basis of solving an inverse heat conduction problem and the use of CFD modeling To start creating such a database for industries, a team of mathematicians, thermal scientists, material scientists, and other specialists has been established [49] Standard probes for creating the database are needed, which can be developed by ASTM International 13.11 SUMMARY An overview of the existing methods for solving an inverse heat conduction problem has been provided 228 INTENSIVE QUENCHING SYSTEMS: ENGINEERING AND DESIGN Using IQLab software and accurate experiments, the cooling capacity of MZM-16 quench oil has been investigated It was shown that the optimal temperature for MZM-16 oil is 100C, which coincides very well with the results provided in Chapter Average heat transfer coefficients can be used for calculating the cooling rate, cooling time, and speed of conveyors during quenching of steel parts Average Kondratjev numbers Kn for oils change insignificantly with changing of the sizes of steel parts CFD analysis can predict the time and location where the film boiling first begins, or its absence, over the entire surface and can predict convective heat transfer coefficients There is no appropriate database for cooling capacities of quenchants to be used by industry There is a need to develop standard probes to be used for solving inverse heat conduction problems specifically for evaluating quenchants References [1] Aster, R C., Borchers, B., and Thurber, C H., Parameter Estimation and Inverse Problems, Elsevier, Amsterdam, 2004 [2] Chadan, K., and Sabatier, P C., Inverse Problems in Quantum Scattering Theory, Springer-Verlag, New York, 1977 [3] Wikipedia, Inverse Problems, http://en.wikipedia.org/wiki/inverse_ problem [4] Kozdoba, L A., and Krukovskyi, P G., Methods of Solving Inverse Heat Conduction Problems, Naukova Dumka, Kyiv, 1982 [5] Krukovskyi, P G., Inverse Heat and Mass Transfer Problems (General Engineering Approach), Engineering Thermal-Science Institute, Kyiv, 1998 [6] Hernandez-Morales, B., Brimacombe, J K., Hawbolt, E B., and Gupta, S M., Determination of Quench Heat-Transfer Coefficients Using Inverse Techniques, Proceedings of Quenching and Distortion Control Conference, ASM International, September 22–25, 1992, Chicago, pp 155–164 [7] Beck, J V., and Osman, A M., Analysis of Quenching and Heat Treating Processes Using Inverse Heat Transfer Method, Proceedings of Quenching and Distortion Control Conference, ASM International, September 22–25, 1992, Chicago, pp 147–154 [8] Banka, J F., Li, Z., Ferguson, B L., and Aronov, M., CFD and FEA Used to Improve the Quenching Process, Heat Treating Progress, 2008, pp 50–56 [9] Lisˇˇcic, B., Heat Transfer Control During Quenching, Materials and Manufacturing Processes, Vol 24, 2009, pp 879–886 [10] Vergana-Hernandez, H J., and Hernandez-Morales, B., A Novel Probe Design to Study Wetting Kinematics During Forced Convective Quenching, Experimental Thermal and Fluid Science, Vol 33, No 5, 2009, pp 797–807 [11] Kobasko, N I., Quenchants, Metallovedenie i Termicheskaya Obrabotka, Moscow, VINITI, 1989, pp 127–166 [12] Lisˇˇcicˇ, B., Tensi, H M., and Luty, W., Theory and Technology of Quenching, Springer-Verlag, Berlin, 1992 [13] Lisˇˇcicˇ, B., Tensi, H M., Canale, L C F., and Totten, G E., Eds., Quenching Theory and Technology, 2nd Ed., CRC Press, New York, 2010 [14] Tikhonov, A N., and Glasko, V B., Application of Regularization Method in Non-Linear Problems, Jour of Comp Math and Math Physics, Vol 5, No 3, 1965, pp 93–107 [15] Tikhonov, A N., and Glasko, V B., On the Issue of Methods of Determination of the Part’s Surface Temperature, Jour of Comp Math and Math Physics, 1967, Vol 7, No 4, pp 910–914 [16] Alifanov, O M., Outer Inverse Heat Conduction Problems, Eng Phys Jour., Vol 29, No 1, 1975, pp 13–25 [17] Turchin, V F., Kozlov, V P., and Malkevich, M S., Use of Methods of Mathematical Statistics for Solving Incorrectly-Posed Problems, Progress of Phys Sc., Vol 102, No 3, 1970, pp 345–386 [18] Morozov, V A., On Principle of Error Function at Solving Operation Equations by Regularization Method, Jour of Comp Math and Math Physics, Vol 8, No 2, 1968 [19] Guseynov, Sh E., Methods of the Solution of Some Linear and Nonlinear Mathematical Physics Inverse Problems, doctoral thesis, University of Latvia, Riga, 2003 [20] Guseynov, Sh E., Kobasko, N I., Buikis, A A., and Mamedov, A G., Some Mathematical Models with Nonlinear Boundary Condition and Their Solutions for Intensive Quenching of Steels, Applied Mathematics and Mathematical Physics (Computer Modeling and New Technology), Vol 10, No 3, 2006, pp 62–74 [21] Guseynov, Sh E., and Kobasko, N I., On One Nonlinear Mathematical Model for Intensive Steel Quenching and Its Analytical Solution in Closed Form, Proceedings of the 5th WSEAS International Conference on Heat and Mass Transfer (HMT ’08), Acapulco, Mexico, January 25–27, 2008, pp 110–115 [22] Guseynov, Sh E., Rimshans, J S., Kobasko, N I., On One Nonlinear Mathematical Model for Intensive Steel Quenching Method and Its Analytical Solution in Closed Form, Mathematics in Industry, Vol 15, Part 3, 2010, pp 857–862 [23] Krivoshey, F A., Solving Inverse Heat Conduction Problems on the Basis of the Method of Statistical Regularization, doctoral thesis, ITTF of NASU, Kyiv, 1994 [24] Kobasko, N I., and Krivoshey, F A., On the Mechanism of Temperature and Heat Flux Oscillations in Cooling Metallic Specimens in Aqueous Solutions of Polymers, Reports of Academy of Ukraine (Doklady Akademii Nauk Ukrainy), No 11, 1994, pp 90–94 [25] Beck, J V., Blackwell, B., and St Clair Jr., C R., Inverse Heat Conduction: Ill-Posed Problems, Wiley-Interscience, New York, 1985 [26] Beck, J V., Litkouhi, B., and St Clair Jr., C R., Efficient Solution of the Nonlinear Inverse Heat Conduction Problem, Numerical Heat Transfer, Vol 5, 1982, pp 275– 286 [27] Meekisho, L., Hern andez-Morales, B., T ellez-Martı´nez, J S., and Chen, X., Computer-Aided Cooling Curve Analysis Using WinProbe, Int J Materials and Product Technology, Vol 24, Nos 1–4, 2005, pp 155–169 [28] Temkin, A G., Inverse Heat Conduction Problems, Energiya, Moscow, 1973 [29] Shumakov, N V., Method of Sequential Intervals in Heat Measurement of Non-stationary Processes, Atomizdat, Moscow, 1979 [30] Dobryvechir, V V., Kobasko, N I., Zotov, E N., Morhuniuk, W S., and Sergeyev, Yu S., Software IQLab (commercially available from Intensive Technologies Ltd., Kyiv, Ukraine, iqlab@itl kiev.ua, www.itl.kiev.ua) [31] Kobasko, N I., Steel Quenching in Liquid Media Under Pressure, Naukova Dumka, Kyiv, 1980 [32] Totten, G E., Bates, C E., and Clinton, M A., Handbook of Quenchants and Quenching Technology, ASM International, Materials Park, OH, 1993 [33] Krukovskyi, P., Kobasko, N I., and Polubinskiy, A., CFD Analysis of a Part Under Quenching as a Transfer Conjugate Problem, IASME Transactions, Vol 2, No 9, 2005, pp 1723–1728 [34] Krukovskyi, P., Kobasko, N I., and Polubinskiy, A., The Process of Semi-axles Quenching Is Analyzed as Conjugate Heat Transfer Problem, WSEAS Transactions on Heat and Mass Transfer, Vol 1, No 4, 2006, pp 563–566 [35] Krukovskyi, P., Kobasko, N I., and Yurchenko, D., Analysis of Heat Transfer Processes During Intensive Quenching of CylinderShaped Forgings on the Basis of CFD Simulation, Proceedings of the 2nd IASME/WSEAS International Conference on Continuum Mechanics (CM ’07), Portoroz, Slovenia, May 15–17, 2007, pp 7–11 [36] Kobasko, N I., Krukovskyi, P., Yurchenko, D., Initial and Critical Heat Flux Densities Evaluated on the Basis of CFD Modeling and Experiments During Intensive Quenching, Proceedings of the 5th IASME/WSEAS International Conference on Heat Transfer, Thermal Engineering and Environment, Athens, Greece, August 25–27, 2007, pp 295–298 [37] Krukovskyi, P., Kobasko, N I., and Yurchenko, D., Generalized Equation for Cooling Time Evaluation and Its Verification by CFD Analysis, JAI, Vol 6, Issue 5, 2009, Paper ID JAI101760, epub ahead of print [38] Methodology STARCD, Version 3.15, Adapco Group, Computational Dynamics, Ltd., London, 2001 [39] Chirkin, V S., Thermal and Physical Properties of Materials of Nuclear Equipment, Atomizdat, Moscow, 1968 CHAPTER 13 n [40] Bitkulov, I Kh., Burkhanov, A M., Kazantsev, V A., et al., Effect of Severe Plastic Deformation on the Properties of the Fe–36% Ni Invar Alloy, Physics of Metals and Metallography, Vol 102, No 1, 2006, pp 91–96 [41] Ferguson, B L., Freborg, A., and Li, Z., Residual Stress and Heat Treatment Process Design for Bending Fatigue Strength Improvement of Carburized Aerospace Gears, 5th International Conference on Heat Treatment: Quenching and Control of Distortion, 2007, pp 95–104 [42] MacKenzie, D S., Kumar, A., and Metwally, H., Optimizing Agitation and Quench Uniformity Using CFD, Proceedings of the 23rd ASM Heat Treating Society Conference, 2005, pp 271–278 [43] MacKenzie, D S., Li, Z., and Ferguson, B L., Effect of Quenchant Flow on the Distortion of Carburized Automotive Pinion Gears, 5th International Conference on Heat Treatment: Quenching and Control of Distortion, 2007, pp 119–129 [44] ASTM Standard D6200-97: Standard Test Method for Determination of Cooling Characteristics of Quench Oils by Cooling INVERSE PROBLEMS IN QUENCH PROCESS DESIGN [45] [46] [47] [48] [49] 229 Curve Analysis, Annual Book of ASTM Standards, ASTM International, West Conshohocken, PA, 2001 Malinkina, E I., and Lomakin, V N., Hardenability of Steel, Mashinostroyenie, Moscow, 1969 Kobasko, N I., and Totten, G., Design of Technological Quench Processes and Possible Ways of Their Intensification, New Processes of Heat Treating, Neklyudov, I M., and Shulayev, V M., Eds., Kontrast, Kharkov, 2004, pp 93–111 Kobasko, N I., Self-Regulated Thermal Process at Steel Quenching, Promyshlennaya Teplotekhnika, Vol 20, No 5, 1998, pp 10–14 Kobasko, N I., and Dobryvechir, V V., Self-Regulated Thermal Process and Cooling Properties of the Quenchants, IASME Transactions, Vol 2, No 9, 2005, pp 1825–1828 Kobasko, N I., Database for Cooling Capacities of Various Quenchants to Be Developed with the Modern Computational and Experimental Techniques, 2006, www.worldses.org/projects/ Heat_and_Mass_Transfer.doc Nikolai I Kobasko, PhD, FASM Dr Kobasko received his Ph.D from the National Academy of Sciences of Ukraine He is a leading expert on quenching and heat transfer during the hardening of steels He was the Head of the laboratory of the Thermal Science Institute of the National Academy of Sciences of Ukraine He is Director of Technology and Research and Development for IQ Technologies, Inc., Akron, Ohio and President of Intensive Technologies, Ltd, Kyiv, Ukraine The aim of both companies is material savings, ecological problem-solving, and increasing service life of steel parts He is an ASM International Fellow (FASM) Dr Kobasko is the author and co-author of more than 250 scientific and technical papers, several books and more than 30 patents and certificates He received the Da Vinci Diamond Award and Certificate in recognition of an outstanding contribution to thermal science Dr Nikolai Kobasko was Editor-in-Chief and Co-Editor of the WSEAS Transactions on Heat and Mass Transfer; and is currently a member of the Editorial Board for the International Journal of Mechanics (NAUN) and the Journal of ASTM International (JAI) Dr Michael A Aronov Dr Aronov received his B S and Masters degrees in Thermal Science and Fluid Dynamics from the St Petersburg Polytechnic Institute in Russia Dr Aronov received his Ph.D degree in Thermal Science and Engineering from the Institute of Metallurgical Thermal Engineering also in Russia He is the Chief Executive Officer of IQ Technologies, Inc of Akron, Ohio Dr Aronov has 37 years of experience in the field of heat and mass transfer, combustion, and thermodynamics in industrial, commercial, and residential heat transfer systems He has extensive experience in experimental research, mathematical modeling of heat and mass transfer in combustion forging, and heat treating furnaces and quenching machinery Dr Aronov also has extensive experience in the design and development of heating and cooling systems for forging and heat-treating applications Dr Aronov has published more than 70 technical papers and has ten patents, four of which are related to different types of quenching equipment and technology Joseph A Powell Joseph A Powell received his B.S in Industrial Management from the University of Akron, and was granted a Juris Doctorate from the University of Akron School of Law Mr Powell is President, and a principal of IQ Technologies Inc, and of Akron Steel Treating Company (AST), a family business, in Akron, Ohio Mr Powell is a founding member of the Heat Treating Network part of the Metal Treating Institute, a member of the Akron Chapter of ASM, the ASM/Heat Treating Society, and the ASM Quenching and Cooling Committee He is also a member of the Metal Treating Institute (MTI), an associate member of the National Tooling & Machining Association (NTMA), and the Summit County Machine Shop Group Mr Powell has a patent for “Variable Cooling Rate Quench Media, Cooling Rate Monitoring System and Real Time Computerized Control System for the Quenching of Metals during Heat Treatment or other Controlled Cooling or Solidification Operations.” George E Totten, Ph.D., FASM George E Totten received his B.S and Masters degrees from Fairleigh Dickinson University in New Jersey and his Ph.D from New York University Dr Totten is past president of the International Federation for Heat Treating and Surface Engineering (IFHTSE) and a fellow of ASM International, SAE International, IFHTSE, and ASTM International Dr Totten is a Visiting Research Professor at Portland State University, Portland, Oregon, and he is also president of G.E Totten and Associates LLC, a research and consulting firm specializing in thermal processing and industrial lubrication problems Dr Totten is the author, coauthor, or editor of over 500 publications, including patents, technical papers, book chapters, and books and sits on several journal editorial boards, including the Journal of ASTM International INDEX Note: Page numbers followed by “f ” and “t ” denote figures and tables, respectively Index Terms Links A AISI 1045 steel 139 CCT diagram of 156 AISI 4137 steel 198 AISI 4140 steel 152f chemical composition of 197 cooling time of 173t AISI 5140 steel 153f 175 16 AISI 60S2A steel 139 aqueous polymer quenchants, cooling capacity of 172 140t aqueous salt solutions and alkalis solutions of high concentration, quenching in use of 127 145–146 arrays of round nozzles (ARN) 67 austenite isothermal decomposition of, for three classes of steels 4f lattice parameters of 5f austenite–martensite transformation austenite–pearlite transformation austenitizing temperature versus carbon content in steel 3f automotive parts 192 ball studs 197 coil springs 192–196 leaf spring samples 196 torsion bar samples 196–197 universal joint crosses 197–198 B ball studs 197 batch quenching 180–182 batch-type IQ equipment 191–192 bearing rings, computations for 112–113 This page has been reformatted by Knovel to provide easier navigation 157 Index Terms Links Bessel function Biot number 79f 80 80f 34–35 77t 78t 93 103–104t 74 124 and Grossmann H value 170 and Kondratjev number 86 boring pipes and locking connections, quenching boundary liquid boiling layer, formation of bubble parameters and dynamics surface properties 165 124–126 24 25–30 C CCT (continuous cooling transformation) diagram 152 of AISI 1045 medium-carbon steel 156 of AISI 4140 steel 153f CFD (computational fluid dynamics) analysis CFD (computational fluid dynamics) modeling coil springs 191 70–72 86–88 192–196 cold brittleness computational fluid dynamics (CFD) analysis 223–225 conditions of uniqueness 63 convective heat transfer 47 boundary conditions 62 63–64 coefficient 126 discussion 70–72 equation of continuity 63 equation of movement 63 equation of similarity 64–65 heat transfer equations 62–63 optimal spatial arrangements of nozzles 69–70 practical problem solved by direct convection spray cooling 127 70 67–69 sprayers with slots 69 in water flow 65–67 conveyor lines and quenching processes design 175 speed of conveyor, calculation of 177–178 speed of rotation, calculation of 178–180 conveyor speed evaluation, generalized equations for 225–227 This page has been reformatted by Knovel to provide easier navigation Index Terms Links cooling (or heating) factor cooling capacity of oils versus aqueous polymer solutions 91 172–175 cooling chamber, for intensive quenching 133t cooling characteristics of quenchants, determination of 210 method and software for 216–218 cooling implementation, apparatus for 144f cooling media, cooling capacities of 177t cooling time calculation 74 for bodies of simple shape 75 finite cylinder 84–86 one-dimensional cylinder 78–81 one-dimensional slab (plate) 76–78 sphere 81–82 three-dimensional slab (parallelepiped) 82–84 CFD modeling 86–88 discussion 88–89 example of 102 generalized equation, analysis of 88 crack formation during water quenching effect of pressure on 173 126–127 prevention 181t critical heat flux densities 30 aqueous salt solutions, optimal concentrations of convective heat transfer 53–54 47 determining technique 49–52 discussion 59–60 experimental measurements of 52–53 film boiling, special characteristics of 57–58 full film boiling 45 46 heat transfer during 54–57 heat transfer, different modes of during quenching importance of 58–59 47 nucleate boiling 46–47 QCR1 , determination of under free convection conditions 48–49 This page has been reformatted by Knovel to provide easier navigation Index Terms Links critical heat flux densities (Cont.) shock boiling 45–46 silver probe to determine 47–48 cryogenic quenchants and special devices, use of cylindrical silver probe 144–145 98f D Dante predictive heat treatment software tool 114 demonstration studies 192 automotive parts 192–198 equipment for 189 batch-type IQ equipment 191–192 single-part quenching IQ systems 189–191 fasteners 207–208 forgings 198 tool products 201–203 203–207 diffusion-free transformation in steel 4–6 dimensionless equations 70 direct convection cooling 185 direct problem 210 discrete-impulse energy input process dislocation density 186–187 182–183 draft-tube impeller system ductile–brittle transition temperature (DBTT) 180–181 E effective specific heat capacity engineering tensile strength EPP-098 88 121 equation of continuity 63 equation of movement 63 equation of similarity for natural convection heat transfer 64–65 F fasteners fatigue limit 207–208 3 This page has been reformatted by Knovel to provide easier navigation Index Terms Links film boiling 187 special characteristics of finite cylinder, cooling time calculation for finite element method (FEM) calculations modeling technique 57–58 84–86 85f 108 225 regular thermal process by first critical heat flux density first Kondratjev theorem 97 287 92 fluidized bed quenching, at low temperatures 142–144 forced convection 62 forced movement 62 forging 198 forklift forks 203–204 Hoop stresses S33 in intensive quenching of 149t 147–148 railroad parts 198 sketch of 147f temperature fields in 147 forklift forks 201–203 203–204 Fourier-Kirchhoff differential equation 62 Fourier law 74 free movement 62 FRIEND (Free Identification for Engineers and Designers) full film boiling 215 46 heat transfer during 54–57 fully automated IQ system 192f G gaseous quenchants at 20°C, thermophysical properties of 145t generalized Biot number 152 generalized equation, for cooling time calculation 75 grain boundaries Grashof number 64 green function method 214 Grossmann H value and Biot number, relationship between 170 88 H H-13 steel aluminum die casting dies, case study for 206–207 This page has been reformatted by Knovel to provide easier navigation Index Terms Links Hall-Petch equation Hart software 114 heat conductivity equation 75 heat flux density 28 see also critical heat flux densities computation of 211–214 formation of 124–126 self-regulation of 35 heat transfer coefficient 26 50 157 different modes of during quenching 58–59 intensification 157 intensifying processes of 182 discrete-impulse energy input process 182–183 rotating magnetic fields, use of 183–184 during quenching 30 heat transfer equations 62–63 high-speed punches and dies, service life evaluation of high-strengthened materials, achieving 206 135–136 high-strength steels, design of current process examples 20–21 factors affecting strength and service life of steel parts high-temperature thermomechanical treatment (HTMT) machine-construction steels on mechanical properties of steels intensive quenching combined with TMT process low-temperature thermomechanical treatment (LTMT) phase transformations, role of 2–3 9–10 15–16 10 diffusion-free transformation 4–6 diffusion transformations of supercooled austenite 3–4 spring steels, thermomechanical treatment of 14–15 steel heat treatment, problems arising during 16–20 strength versus dislocation density in metal thermomechanical heat treatment, use of 31 2f 10–14 This page has been reformatted by Knovel to provide easier navigation 62 138t Index Terms Links high-temperature thermomechanical treatment (HTMT) machine-construction steels on mechanical properties of steels high thermal gradients 8f 42 130 9–10 122 high-velocity IQ system 190–191 hoop stresses 147–148 H values 170 171f I impellers 182f industrial conveyors speed, calculation of industrial quenching systems, design of batch quenching 157–158 170 180–182 conveyor lines and quenching processes design 175 speed of conveyor, calculation of 177–178 speed of rotation, calculation of 178–180 Grossmann H value and generalized Biot number, relationship between heat transfer, intensifying processes of 170 182 discrete-impulse energy input process 182–183 rotating magnetic fields, use of 183–184 Kondratjev numbers, calculation of aqueous polymer quenchants, cooling capacity of 170 172 cooling capacity of oils and comparison with cooling capacity of aqueous polymer solutions intensive quenching 172–175 combined with TMT process process variations 15–16 107 intensive steel quenching methods 151 IQ-1 process 107 151–154 IQ-2 process 24 107 154 185–186 107 160 186 heat transfer intensification 157 implementation, examples of 158–160 industrial conveyors speed, calculation of 157–158 IQ-3 process 24 absence of nonstationary nucleate boiling, determining 160–162 quenching truck semi-axles, application for 162–165 This page has been reformatted by Knovel to provide easier navigation Index Terms Links intensive steel quenching methods (Cont.) time to achieve maximum surface compressive stresses 162 IQ-4 process 107 165–166 IQ-5 process 107 166 agricultural machine cutting parts intensive hardening of calculation results results, practical appreciation of inverse problems, in quench process design conveyor speed evaluation, generalized equations for 166–167 167 167–168 210 225–227 cooling characteristics of quenchants, determination of method and software for definition 216–218 210 MZM-16 oil cooling capacity, determination of 218–223 quench process of semi-axles and cylinder-shaped steel parts, verification of 223–225 sequential function specification technique versus regularization method solving methods 215 210 cooling characteristics of quenchants, determination of 210 Green function method 214 heat flux density, computation of 211–214 mass transfer problems solving, general approach of 215 statistical regularization method 214–215 surface temperature and heat flux densities for specific steel parts, determination of thermal properties of steel, determination of 211 210–211 thermocouples placement, in probes 211 Tikhonov regularization method 214 IQLab 154 isothermal steel quenching 127–128 J JIS silver probe 99f This page has been reformatted by Knovel to provide easier navigation Index Terms Links K keyway shaft distortions 187–189 Kh18N9T 121 Kh18N10T 121 Kondratjev form coefficient Kondratjev form factors, determination of 213 84 95–96 95t 96t 97t 103–104t 153 227 175t 176t 98t Kondratjev number 92 and Biot number 86 calculation of 170 for Amolite 22 oil 174t aqueous polymer quenchants, cooling capacity of 172 for aqueous UCON A solution 176t for aqueous UCON E solution 177t for Beacon 70 oil 175t 177t 176t cooling capacity of oils versus cooling capacity of aqueous polymer solutions for Houghton K oil KRAZ (Kremenchuk Automobile Zavod) 172–175 174t 127 L Labuntsov equation 41 leaf spring samples 196 liquid media under pressure, steel quenching in 131–133 liquid nitrogen, quenching in 144–145 Liščić-Nanmac probe 100 Liščić method 213 58 Liščić probe 211 low-temperature thermomechanical treatment (LTMT) 10 10f 11f 42 121 128–129 137 M machine-construction steels martensite 9–10 for intensive and slow cooling 6f lattice parameters of 5f lattices of martensite phases in steel 5f 5f This page has been reformatted by Knovel to provide easier navigation Index Terms Links martensite (Cont.) start and finish temperature versus content of carbon in steel 5f start temperature point 6f 122 124 152 46–47 128 131 132 155 187 160t martensitic through-hardening, stress state of cylindrical bodies after 108 mass transfer problems, solving 215 mechanically rotated chute quench systems 180f MK oil versus temperature, physical properties of 224t minimum strength, determination of MZM-16 oil cooling capacity, determination of 218–223 N natural convection 62 natural movement 62 Newton-Riemann equation 62 nonlinear wave mechanics, phenomenon of nucleate boiling 137 nonstationary versus convection heat transfer coefficient 158t nucleating centers 27 formation of 26 numbers of similarity/criteria 64 Nusselt number 64 O oil-quenched coil spring 195f oil quenching one-dimensional cylinder, cooling time calculation for 78–81 one-dimensional slab (plate), cooling time calculation for 76–78 optimal spatial arrangements of nozzles 69–70 79t P packet martensite, formation of 139–142 This page has been reformatted by Knovel to provide easier navigation