applications to fluid flow problems

Ngày tải lên: 31/03/2014, 15:23

... R Darzi use the variational iteration method together with the homotopy perturbation method to solve Sturm-Liouville eigenvalue and boundary value problems, since these methods give approximate ... 2 Boundary Value Problems In the third paper, “Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville ... of higher-order equations with nonnegative characteristic, where the main tools used were the acute angle principle together with Holder and Young inequalities ¨ In the sixth paper entitled,...

Ngày tải lên: 21/06/2014, 05:20

... addition to the relocate operator, we have the exchange operator which exchanges the knapsacks of two items Similar to the relocate operator, the exchange operator may help to minimize the overall ... such, the operators may not be effective to bring about a big change to the overall solution The multi-exchange operator attempts to rectify this shortcoming by allowing more items to be involved ... examination Figure allows user to either manually or automatically assign seats to each candidate for each examination The automatic seat assignment engine allocates candidates to their seats in ascending...

Ngày tải lên: 26/11/2015, 22:29

... [9±54/46] 23.9.2002 4:35PM 14 Introduction to Practical Fluid Flow Figure 2.3 Data input screen to calculate friction factor using the FLUIDS toolbox factor screen as shown in Figure 2.3 The value ... and non-Newtonian fluids in pipes with circular cross-section 5.3 Power-law fluids in turbulent in pipes flow 5.4 Shear-thinning fluids with Newtonian limit 5.5 Practice problems 5.6 ... encountered Although the topics of non-Newtonian fluid flow and slurry transportation are comprehensively covered in specialized texts, this book attempts to consolidate these topics into a consistent...

Ngày tải lên: 05/03/2014, 17:20

... physics in fluid mechanics.) The total energy in a system is made up of several types: Potential Energy due to the fluid position or pressure Flow Work Energy required for the fluid to flow The fluid ... slug of liquid This flow is not accurately measured with current flow meters 11 CH01pp001-023 12 10/24/01 4:46 PM Page 12 Fluid Flow Measurement Flow, Totalized: The total flow over a stated period ... is proportional to the pipeline flow rate Flow Rate: The volume or mass of flow through a meter per unit time Flow Regime: The characteristic flow behavior of a flow process Flow Temperature:...

Ngày tải lên: 01/04/2014, 11:02

... triển kĩ thuật tính to n tích hợp cài đặt nhanh chóng lĩnh vực viễn thông 21 CHƯƠNG IV: Search and Evolutionary Scatter Search for ‘Tree-Star’ Network Problems, with Applications to Leased-Line Network ... dựa thuật to n Kiểm tra tính to n họ chứng minh thuật to n TS tìm thấy giải pháp tối ưu cho tất vấn đề đến khoảng 100 24 nodes Áp dụng cho vấn đề lớn nhánh thủ tục cắt giải quyết, thuật to n TS ... đơn bước 3, hoàn to n tạo vector thử nghiệm cho S* khác Các vector thử nghiệm đưa đến giải pháp thử nghiệm (vi dụ cách xây dựng bao trùm tối thiểu node Steiner hoạt động tính to n tổng chi phí)...

Ngày tải lên: 24/06/2014, 09:55

... [9±54/46] 23.9.2002 4:35PM 14 Introduction to Practical Fluid Flow Figure 2.3 Data input screen to calculate friction factor using the FLUIDS toolbox factor screen as shown in Figure 2.3 The value ... and non-Newtonian fluids in pipes with circular cross-section 5.3 Power-law fluids in turbulent in pipes flow 5.4 Shear-thinning fluids with Newtonian limit 5.5 Practice problems 5.6 ... encountered Although the topics of non-Newtonian fluid flow and slurry transportation are comprehensively covered in specialized texts, this book attempts to consolidate these topics into a consistent...

Ngày tải lên: 27/06/2014, 17:20

... [9±54/46] 23.9.2002 4:35PM 14 Introduction to Practical Fluid Flow Figure 2.3 Data input screen to calculate friction factor using the FLUIDS toolbox factor screen as shown in Figure 2.3 The value ... and non-Newtonian fluids in pipes with circular cross-section 5.3 Power-law fluids in turbulent in pipes flow 5.4 Shear-thinning fluids with Newtonian limit 5.5 Practice problems 5.6 ... encountered Although the topics of non-Newtonian fluid flow and slurry transportation are comprehensively covered in specialized texts, this book attempts to consolidate these topics into a consistent...

Ngày tải lên: 27/06/2014, 17:20

Ngày tải lên: 05/08/2014, 09:46

... King, R.P Introduction to practical fluid flow Fluid dynamics I Title 620.1H 064 Library of Congress Cataloguing in Publication Data King, R.P Introduction to practical fluid flow / R.P King p cm ... and non-Newtonian fluids in pipes with circular cross-section 5.3 Power-law fluids in turbulent in pipes flow 5.4 Shear-thinning fluids with Newtonian limit 5.5 Practice problems 5.6 ... encountered Although the topics of non-Newtonian fluid flow and slurry transportation are comprehensively covered in specialized texts, this book attempts to consolidate these topics into a consistent...

Ngày tải lên: 13/08/2014, 16:21

... [9±54/46] 23.9.2002 4:35PM 14 Introduction to Practical Fluid Flow Figure 2.3 Data input screen to calculate friction factor using the FLUIDS toolbox factor screen as shown in Figure 2.3 The value ... //SYS21///INTEGRAS/B&H/IPF/FINAL_13-09-02/0750648856-CH02.3D ± 12 ± [9±54/46] 23.9.2002 4:35PM 12 Introduction to Practical Fluid Flow Friction factor for Newtonian fluids Friction factor f e/D = 0.0500 e/D = 0.0250 –2 10 e/D = 0.0100 e/D = 0.0050 ... 4:35PM Friction factor f 18 Introduction to Practical Fluid Flow 10-2 10-3 104 105 106 107 108 109 1010 1011 1012 Dimensionless flowrate Q* = (Re5f)1/3 Figure 2.7 Friction factor plotted against...

Ngày tải lên: 13/08/2014, 16:21

... Introduction to Practical Fluid Flow To convert this to pressure developed by the pump, multiply by  ÁPPu ˆ ÀW  1000 ˆ 3:751 MPa ÁPPu hPu ˆ ˆ 382:4 m of water g To convert to kW, multiply by mass flowrate ... relationship between the torque that must be applied to the impeller and the change in the angular momentum of the fluid The torque applied to the impeller is equal to the rate of change of the ... friction factor in the chamber It is not possible to assign values to DH or f and they must be estimated from experimental data The slip velocity uv can be related to the volumetric flowrate through...

Ngày tải lên: 13/08/2014, 16:21

... //SYS21///INTEGRAS/B&H/IPF/FINAL_13-09-02/0750648856-CH03.3D ± 64 ± [55±80/26] 23.9.2002 3:49PM 64 Introduction to Practical Fluid Flow Figure 3.6 FLUIDS toolbox window to calculate the size of a particle with known terminal settling velocity ... //SYS21///INTEGRAS/B&H/IPF/FINAL_13-09-02/0750648856-CH02.3D ± 54 ± [9±54/46] 23.9.2002 4:35PM 54 Introduction to Practical Fluid Flow flow in water mains over fairly long periods of time due to scaling of the pipelines The generally accepted effects ... undertaken They are not used in the FLUIDS toolbox 3.2.2 Stokes' Law When the relative velocity between a sphere and the fluid is very low, the drag force is due entirely to surface drag and the relationships...

Ngày tải lên: 13/08/2014, 16:21

... from the fluid to the solid wall and that is the indirect path from fluid to particles and from particles to the wall This path acts in parallel with the direct transfer path from the fluid to the ... 90 Introduction to Practical Fluid Flow The coefficients K, , , and  have values that are specific to each flow regime Using experimental data gathered from experiments in each flow regime, the ... the flow changes from sliding bed D to homogeneous suspension reflecting the greater tendency of high drag coefficient particles to pick up momentum from the fluid and then to transfer it to the...

Ngày tải lên: 13/08/2014, 16:21

... The first step is to determine the flow regime Use the toolbox to get the drag coefficient at terminal settling velocity à CD ˆ 0:815 Use the toolbox to get the friction factor for water Re ˆ ... calculated to fix the flow regime uniquely Notice that these rules test the flow regimes negatively and a single test will never suffice to define the flow regime It is always necessary to test ... Introduction to Practical Fluid Flow Using Figure 4.7 again, the next transition number to test is R13 and since R13 < 1, the flow is established as being in regime (saltation) The slurry friction factor...

Ngày tải lên: 13/08/2014, 16:21

... any fluid that flows inside a circular pipe The equation has wide applicability and is not limited to Newtonian or even to viscous fluids It applies to turbulent flow as well as laminar flow ... differs from that which characterizes Newtonian fluids This relationship is used to classify the flow behavior of various non-Newtonian fluids A Newtonian fluid is characterized by a linear relationship ... by non-Newtonian slurries, laminar motion of these fluids is encountered far more commonly than with Newtonian fluids It is therefore profitable to examine some simple cases of laminar flow which...

Ngày tải lên: 13/08/2014, 16:21

... 2:546  106 Figure 5.19 Friction factor for a power-law fluid calculated using the FLUIDS toolbox Use Figure 5.18 or the FLUIDS toolbox to get the friction factor fPL ˆ 0:00482  Ã3    Q 1:65 ... [117±158/42] 23.9.2002 4:41PM 134 Introduction to Practical Fluid Flow Figure 5.11 Friction factor plot for a Bingham plastic calculated using the FLUIDS toolbox The velocity is obtained from the ... convenient correlation for turbulent flow of power-law fluids and is a useful tool for the solution of practical fluid flow problems The friction factor calculated from equation 5.67 is plotted against...

Ngày tải lên: 13/08/2014, 16:21

... friction factor for Sisko fluids against Q* and V* can be easily generated using the FLUIDS toolbox 5.5 Practice problems Calculate the pressure gradient due to friction when a power law fluid flows ... factor for non-Newtonian fluid Strain-rate parameter for Sisko fluid Hedstrom number Flow consistency coefficient for power-law fluids Pa sn Flow consistency coefficient for Herschel±Bulkley fluid ... Introduction to Practical Fluid Flow 10 H= 0.15 0.45 1.25 2.5 –1 Slurry friction factor 10 –2 10 –3 10 10 100 1000 Dimensionless pipe diameter D* Figure 5.25 Friction factor for a Sisko fluid with flow...

Ngày tải lên: 13/08/2014, 16:21

... Introduction to Practical Fluid Flow Figure 6.15 Fluids toolbox data input screen that generates figure 6.14 using the FLUIDS toolbox (see Figure 6.15) The reader is encouraged to reproduce this ... [159±194/36] 23.9.2002 4:53PM 184 Introduction to Practical Fluid Flow The relative velocity can be related to the velocity at which the solids settles and to the total volumetric flux q q ˆ 'Vs ‡ …1 À ... at the bottom discharge in addition to the settling flux of the solid relative to the slurry itself If the total flux is Feed slurry at concentration CF Clear supernatant overflows into discharge...

Ngày tải lên: 13/08/2014, 16:21

... Dimensionless flowrate, 17 for Newtonian fluids, 17 Dimensionless pipe diameter, 15 for Newtonian fluids, 15 in Colebrook equation, 16 Dimensionless fluid velocity, 19 for Newtonian fluids, 19 Dimensions, ... 179 rate of fall of, 180 Navier±Stokes equations, Net positive suction head, 43 Newtonian fluids, in laminar flow, 124 model for shear stress, 117 Non-Newtonian fluids, rheological properties of, ... ± [159±194/36] 23.9.2002 4:53PM 192 Introduction to Practical Fluid Flow When the concentration at each grid point has been calculated, the contours of constant solid concentration can be plotted...

Ngày tải lên: 13/08/2014, 16:21