Hydrodynamic Lubrication 2009 Part 14 pps

228 9 Turbulent Lubrication 24. L.G. Hampson and H. Naylor, “Friction Reduction in Journal Bearing by High Molecular Weight Polymers”, Proc. the 2nd Leads-Lyon Symposium on Tribology, Mechanical Engineering Publications Ltd., London, September 1975, pp. 70 - 72. 25. S. Hassid and M. Poreh, “A Turbulent Energy Dissipation Model for Flows With Drag Reduction”, Journal of Fluids Engineering, Trans. ASME, Vol. 100, No. 1, March 1978, pp. 107 - 112. 26. S. Wada and H. Hashimoto, “Turbulent Lubrication Theory Using the Frictional Law (First Report, Derivation of Turbulent Coefficient and Lubrication Equation)” (in Japanese), Trans. JSME, Vol. 44, No. 382, June 1978, pp. 2140 - 2148. 27. S. Wada and H. Hashimoto, “Ditto (Second Report, Its Application to Journal Bearing)” (in Japanese), Trans. JSME, Vol. 44, No. 382, June 1978, pp. 2149 - 2156. 28. R.E. Hinton and J.B. Roberts, “The Characteristics of a Statically Loaded Journal Bear- ing with Superlaminar Flow”, Journal of Mechanical Engineering Science, IMechE, London, Vol. 22, No. 2, 1980, pp. 79 - 94. 29. H. Fukayama, M. Tanaka and Y. Hori, “Friction Reduction in Turbulent Journal Bearings by Highpolymers”, Journal of Lubrication Technology, Trans. ASME, Series F, Vol. 102, No. 4, October 1980, pp. 439 - 444. 30. T. Kato and Y. Hori, “Taylor Vortices in a Journal Bearing” (in Japanese), Trans. JSME, Vol. 49, No. 445, September 1983, pp. 1510 - 1520. 31. T. Kato and Y. Hori, “Turbulent Lubrication Theory Using k-ε Model for Journal Bear- ings” (in Japanese), Journal of Japan Society of Lubrication Engineers, Vol. 28, No. 12, December 1983, pp. 907 - 914. 32. S. Kaneko, Y. Hori and M. Tanaka, “Static and Dyanmic Characteristics of Annular Plain Seals”, Proc. of Third International Conference on Vibrations in Rotating Machinery, IMechE, Univ. of York, England, September 11 - 13, 1984, pp. 205 - 214. 33. Y. Hori, H. Fukayama, M. Tanaka, T. Kato and S. Kaneko. “Turbulent LubricationThe- ory for Annular Plain Seals” (ln Japanese), Journal of Japan Society of Lubrication Engineers, Vol. 30, No. 6, June 1985, pp. 430 - 437. 34. T. Kato and Y. Hori, “Pressure Distributions in a Journal Bearing Lubricated by Drag Reducing Liquids under Turbulent Conditions”, Proceedings JSLE International Tri- bology Conference, July 8 - 10, 1985, Tokyo, Japan, pp. 571 - 576. 35. S. Kaneko, Y. Hori, T. Kato and M. Tanaka, “Static Characteristics of Annular Plain Seals in the Turbulent Regime” (in Japanese), Journal of Japan Society of Lubrication Engineers, Vol. 31, No. 7, July 1986, pp. 493 - 500. 36. S. Kaneko, Y. Hori and M. Tanaka, “Dynamic Characteristics of Annular Plain Seals in the Turbulent Regime (First Report, Theoretical Analysis) ” (in Japanese), Jour- nal of Japan Society of Lubrication Engineers, Vol. 31, No. 9, September 1986, pp. 650 - 657. 37. S. Kaneko, Y. Hori and M. Tanaka, “Dynamic Characteristics of Annular Plain Seals in the Turbulent Regime (Second Report, Experimental Analysis) ” (in Japanese), Journal of Japan Society of Lubrication Engineers, Vol. 32, No. 2, February 1987, pp. 141 - 147. 38. H.K. Myong and N. Kasagi, “A New Proposal for a k-ε Turbulence Model and Its Evalu- ation (First Report, Development of the Model)” (in Japanese), Trans. JSME,C,Vol. 54, No. 507, November 1988, pp. 3003 - 3009. 39. C. Arakawa, “Computational Fluid Dynamics for Engineering” (in Japanese), University of Tokyo Press, Tokyo, 1994. 40. T. Kajishima, “Numerical Simulation of Turbulent Flows” (in Japanese), Yokendo Ltd., Tokyo, 1999. Index alignment of bearings 89 Amonton’s law 5 animal joint 137 approximate nonlinear analysis 98 bearing number 2 boundary condition - of oil film 27 G ¨ umbel’s - 28, 37, 42 half Sommerfeld’s - 29 Reynolds’ - 29 separation - 29 Sommerfeld’s - 28, 31 Swift-Stieber’s - 29 boundary lubrication 4 cavitation 146 chaos 112 circular bearing 23 circular journal bearings 25 column model 153 constant-strain-rate modulus 154 Coulomb’s law 5 critical speed 63 cylindrical coordinates 55 deformation of a pad 58 dissipation energy 170 dry friction 4 dynamic oil film force 71 dynamic oil film pressure 68 energy equation 166, 168 energy loss 1 finite element method 122 finite length (journal) bearing 27, 43 finite length plane pad bearing 54 floating bush bearing 24, 102, 113 fluid film seal 209, 211 foil bearing 119 foil disk 131 friction 1 generator rotor 87 half-speed whirl 65 heat generation 161 Hermann’s variational method 150 Holm, R. 6 hydrodynamic bearing 23 hydrodynamic lubrication 3, 6, 9 hydrostatic bearing 23 infinitely long (journal) bearings 29 infinitely long bearing 31 infinitely long plane pad bearing 48 isoviscous anlysis 172 Jost Committee 2 journal bearing 6, 23 journal bearing - attitude angle 25 - clearance circle 25 - eccentricity ratio 25 - frictional moment 35, 40, 43 - infinite length approximation 27 - load capacity 35 - oil film constant 75 - oil film damping constants 75 230 Index - oil film force 32, 38, 42 - oil film pressure 29, 31, 37, 41 - oil film spring constant 75 - oil film thickness 26 - radial clearance 25 - shape of oil film 26 - short bearing approximation 27, 41 k-ε model 203, 214 K ´ arm ´ an constant 202 Kingsbury bearing 48 Knudsen number 59, 131 leakage of lubricating oil 43 Leonardo da Vinci 5 limit cycle 98 locus of journal center 33, 39, 42 lubricant 1 lubrication 1 various forms of - 2 magnetic disk memory device 7, 59 magnetic head 7 magnetic tape memory storage 120, 130 mean free path 59, 130 Michell bearing 48 mixed lubrication 4 mixing length model 201, 204 moir ´ e method 132, 158 moving surface 22 multi-arc bearing 23 multibearing system 89 nonlinear stability 94 oil film rupture 28 oil whip 63, 64 - hysteresis 64, 84 - inertia effect 64 - influence of an earthquake 92 - preventing method 113 - theory 67 secondary - 87 oil whirl 65 Okazaki’s method 69 parametric excitation 63 partial bearing 23 Pertrov’s law 36 plane pad bearing 48 - center of pressure 52 - frictional force 53 - load capacity 51 - pivot position 53 - pressure distribution 49 porous bearing 109 pressure spike 120 read/write element 59 Reynolds’ equation 11, 17 generalized- 163, 165 Reynolds’ stress 199 Reynolds’ theory 11 Reynolds, O. 9 Routh-Hurwitz criterion 79 sector pad bearing 55 seizure 1 self-excited vibrations - due to oil film action 63 - due to internal damping 63 flow-induced - 63 short bearing 41 side leakage factor 54 sinusoidal squeeze 144, 145, 149 skeletal joint 7 sliding bearing 23 slip flow 59, 131 small-end bearing 137 solid friction 4 Sommerfeld transform 30 Sommerfeld’s number 34 squeeze effect 7, 18, 137 squeeze film 137 stability chart 80, 81 stability limit 76 stationary surface 21 stretch effect 18 Stribeck diagram 3 Taylor vortex 224 temperature analysis - of a circular journal bearing 185 - tilting pad thrust bearing 172 temperature rise 161 thermohydrodynamic lubrication 162 THL 162 three arc bearing 23, 106, 113 -o ffset factor 107 Index 231 - preload factor 107 thrust bearing 23, 47 tilting pad bearing 23, 48, 113 time-average equation of motion 200 Toms’ effect 222 Tower, B. 9 transfer matrix 91 transition temperature of oil film 161 tribology 2 meaning of - 7 true contact area 5 turbulence model 201 turbulent flow energy 203 turbulent flow loss 203 turbulent lubrication 197 turbulent lubrication theory - k-ε model 215 - mixing length model 204 turbulent shear stress 199 turbulent viscosity coefficient 202, 203 two arc bearing 23, 113 viscoelastic model 153 wear 1 wedge effect 7, 18 . “Turbulent Lubrication Theory Using the Frictional Law (First Report, Derivation of Turbulent Coefficient and Lubrication Equation)” (in Japanese), Trans. JSME, Vol. 44, No. 382, June 1978, pp. 2140 - 2148 . 27 “Turbulent Lubrication Theory Using k-ε Model for Journal Bear- ings” (in Japanese), Journal of Japan Society of Lubrication Engineers, Vol. 28, No. 12, December 1983, pp. 907 - 914. 32. S. Kaneko,. 1984, pp. 205 - 214. 33. Y. Hori, H. Fukayama, M. Tanaka, T. Kato and S. Kaneko. “Turbulent LubricationThe- ory for Annular Plain Seals” (ln Japanese), Journal of Japan Society of Lubrication Engineers,