Analysis of Thermal Deformation of a Rough Slider and Its Asperities and Its Impact on Load Generation in Parallel Sliders
Heating is inevitable in any bearing operation. This
leads to not only the thinning of the lubricant but also could lead to a
thermal deformation of the bearing. The present work is an attempt to
analyze the influence of thermal deformation on the thermohydrodynamic
lubrication of infinitely long tilted pad slider rough
bearings. As a consequence of heating the slider is deformed and is
assumed to take a parabolic shape. Also the asperities expand leading
to smaller effective film thickness. Two different types of surface
roughness are considered: longitudinal roughness and transverse
roughness. Christensen-s stochastic approach is used to derive the
Reynolds-type equations. Density and viscosity are considered to be
temperature dependent. The modified Reynolds equation, momentum
equation, continuity equation and energy equation are decoupled and
solved using finite difference method to yield various bearing
characteristics. From the numerical simulations it is observed that the
performance of the bearing is significantly affected by the thermal
distortion of the slider and asperities and even the parallel sliders
seem to carry some load.
[1] A. Fogg, "Fluid Film Lubrication of Parallel Thrust Surfaces." In: Proc.
Inst. Mech. Eng., vol.155, pp. 49-53, 1946.
[2] F. Osterle, A.Charnes and A.Saibel, "On the Solution of the Reynolds
Equation for Slider Bearing Lubrication-IV- The Parallel Surface Slider
Bearing without Side Leakage," Trans. ASME, pp. 1133-1136, 1953.
[3] W. Lewicki, "Theory of Hydrodynamic Lubrication in Parallel Sliding,"
Engnr., London 200, pp. 939-941, 1955.
[4] A. Cameron, "The viscosity Wedge," Trans. ASME vol. 1, pp. 248-253,
1958.
[5] J. Young, "The Thermal Wedge in Hydrodynamic Lubrication," Eng. J.
vol. 45, pp. 46-54, 1962.
[6] A.O. Lebeck, "Parallel Load Support in the Mixed Friction Regime, Part
I-The Experimental Data," Trans. ASME, J. Trib. Vol. 109, pp.189-195,
1987.
[7] O.C. Zienkiewicz, "Temperature distribution within lubricating films
between parallel bearing surfaces and its effect on the pressures
developed." In: Proc. of conference on lubrication and wear, paper No.
7, Inst. Mech. eng., London, 1957.
[8] C.M. Rodkiewicz, Prawal Sinha, "On the Lubrication Theory: A
Mechanism Responsible for Generation of the Parallel Bearing Load
Capacity," Trans. ASME, J. Lub. Tech. vol.115, pp. 584-590, 1993.
[9] H. Ezzat, S. Rhode, "A Study of Hydrodynamic Performance of Finite
Slider Bearings," Trans. ASME, J. Lub. Tech. vol.95, 3, pp. 298-307,
1973.
[10] O. Pinkus, "Thermal Aspects of Fluid Film Tribology," ASME Press,
New York, 1990.
[11] B.V.Rathish, P.S.Rao, and P.Sinha, "Stream Line Upwind Petrov-
Gaerkin Finite Element Analysis of Thermal Effects on Load Carrying
Capacity in Slider Bearings," Num. Heat Transfer. Part A: Applications
vol.38, pp.305-328, 2000.
[12] M.M. Khonsari, "A Review of Thermal Effects in Hydrodynamic
Bearings. Part I: Slider/Thrust Bearings, Part II:" Journal Bearings,
ASLE Trans. Vol. 30, pp. 19-33, 1987.
[13] S.T.Tzeng, H.Saibel, "Surface Roughness Effect on Slider Bearing
Lubrication," ASME Trans. Vol. 10, pp. 334-338, 1967.
[14] H. Christensen, K. Tonder, "Tribology of Roughness: Stochastic Models
of Hydrodynamic Lubrication," SINTEF report 10/69-18, 1969.
[15] H. Christensen, "Stochastic Models of Hydrodynamic Lubrication of
Rough Surfaces." In: Proc. Inst. mech. Eng. Vol. 184, pp.1013-1022,
1969-70.
[16] H. Christensen, J.B. Shukla, and S. Kumar, "Generalized Reynolds
Equation for Stochastic Lubrication and its Application," J, Mech. Eng.
Sci. vol. 17, pp. 262-270, 1975.
[17] J. Ramesh, C. Majumdar, and N.S. Rao, "Thermohydrodynamic
Analysis of Submerged Oil Journal Bearings Considering Surface
Roughness Effects," Trans. ASME, J. Trib. Vol. 119, pp. 100-106, 1997.
[18] L. Chang, C. Farnum, "A Thermal Model for Elastohydrodynamic
Lubrication of Rough Surfaces," Tribology Trans. Vol. 35, pp. 281-286,
1992.
[19] B.P. Huynh, S. Loe, "Influence of Location, Number and Shape of
Corrugations in Slider Bearings," Anziam J. vol. 45, pp. C1017-C1038,
2004.
[20] A.A. Ozap, H. Umur, "Optimum Surface Profile Design and
performance Evaluation of Inclined Slider Bearings," Current Science,
vol. 90, pp. 1480-1491, 2006.
[21] Sinha Prawal, A. Getachew, "THD analysis for slider bearing with
roughness: special reference to load generation in parallel sliders," Acta
Mechanica, vol. 207, Issue 1, pp 11, 2009.
[1] A. Fogg, "Fluid Film Lubrication of Parallel Thrust Surfaces." In: Proc.
Inst. Mech. Eng., vol.155, pp. 49-53, 1946.
[2] F. Osterle, A.Charnes and A.Saibel, "On the Solution of the Reynolds
Equation for Slider Bearing Lubrication-IV- The Parallel Surface Slider
Bearing without Side Leakage," Trans. ASME, pp. 1133-1136, 1953.
[3] W. Lewicki, "Theory of Hydrodynamic Lubrication in Parallel Sliding,"
Engnr., London 200, pp. 939-941, 1955.
[4] A. Cameron, "The viscosity Wedge," Trans. ASME vol. 1, pp. 248-253,
1958.
[5] J. Young, "The Thermal Wedge in Hydrodynamic Lubrication," Eng. J.
vol. 45, pp. 46-54, 1962.
[6] A.O. Lebeck, "Parallel Load Support in the Mixed Friction Regime, Part
I-The Experimental Data," Trans. ASME, J. Trib. Vol. 109, pp.189-195,
1987.
[7] O.C. Zienkiewicz, "Temperature distribution within lubricating films
between parallel bearing surfaces and its effect on the pressures
developed." In: Proc. of conference on lubrication and wear, paper No.
7, Inst. Mech. eng., London, 1957.
[8] C.M. Rodkiewicz, Prawal Sinha, "On the Lubrication Theory: A
Mechanism Responsible for Generation of the Parallel Bearing Load
Capacity," Trans. ASME, J. Lub. Tech. vol.115, pp. 584-590, 1993.
[9] H. Ezzat, S. Rhode, "A Study of Hydrodynamic Performance of Finite
Slider Bearings," Trans. ASME, J. Lub. Tech. vol.95, 3, pp. 298-307,
1973.
[10] O. Pinkus, "Thermal Aspects of Fluid Film Tribology," ASME Press,
New York, 1990.
[11] B.V.Rathish, P.S.Rao, and P.Sinha, "Stream Line Upwind Petrov-
Gaerkin Finite Element Analysis of Thermal Effects on Load Carrying
Capacity in Slider Bearings," Num. Heat Transfer. Part A: Applications
vol.38, pp.305-328, 2000.
[12] M.M. Khonsari, "A Review of Thermal Effects in Hydrodynamic
Bearings. Part I: Slider/Thrust Bearings, Part II:" Journal Bearings,
ASLE Trans. Vol. 30, pp. 19-33, 1987.
[13] S.T.Tzeng, H.Saibel, "Surface Roughness Effect on Slider Bearing
Lubrication," ASME Trans. Vol. 10, pp. 334-338, 1967.
[14] H. Christensen, K. Tonder, "Tribology of Roughness: Stochastic Models
of Hydrodynamic Lubrication," SINTEF report 10/69-18, 1969.
[15] H. Christensen, "Stochastic Models of Hydrodynamic Lubrication of
Rough Surfaces." In: Proc. Inst. mech. Eng. Vol. 184, pp.1013-1022,
1969-70.
[16] H. Christensen, J.B. Shukla, and S. Kumar, "Generalized Reynolds
Equation for Stochastic Lubrication and its Application," J, Mech. Eng.
Sci. vol. 17, pp. 262-270, 1975.
[17] J. Ramesh, C. Majumdar, and N.S. Rao, "Thermohydrodynamic
Analysis of Submerged Oil Journal Bearings Considering Surface
Roughness Effects," Trans. ASME, J. Trib. Vol. 119, pp. 100-106, 1997.
[18] L. Chang, C. Farnum, "A Thermal Model for Elastohydrodynamic
Lubrication of Rough Surfaces," Tribology Trans. Vol. 35, pp. 281-286,
1992.
[19] B.P. Huynh, S. Loe, "Influence of Location, Number and Shape of
Corrugations in Slider Bearings," Anziam J. vol. 45, pp. C1017-C1038,
2004.
[20] A.A. Ozap, H. Umur, "Optimum Surface Profile Design and
performance Evaluation of Inclined Slider Bearings," Current Science,
vol. 90, pp. 1480-1491, 2006.
[21] Sinha Prawal, A. Getachew, "THD analysis for slider bearing with
roughness: special reference to load generation in parallel sliders," Acta
Mechanica, vol. 207, Issue 1, pp 11, 2009.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:53381", author = "Prawal Sinha and Getachew Adamu", title = "Analysis of Thermal Deformation of a Rough Slider and Its Asperities and Its Impact on Load Generation in Parallel Sliders", abstract = "Heating is inevitable in any bearing operation. This
leads to not only the thinning of the lubricant but also could lead to a
thermal deformation of the bearing. The present work is an attempt to
analyze the influence of thermal deformation on the thermohydrodynamic
lubrication of infinitely long tilted pad slider rough
bearings. As a consequence of heating the slider is deformed and is
assumed to take a parabolic shape. Also the asperities expand leading
to smaller effective film thickness. Two different types of surface
roughness are considered: longitudinal roughness and transverse
roughness. Christensen-s stochastic approach is used to derive the
Reynolds-type equations. Density and viscosity are considered to be
temperature dependent. The modified Reynolds equation, momentum
equation, continuity equation and energy equation are decoupled and
solved using finite difference method to yield various bearing
characteristics. From the numerical simulations it is observed that the
performance of the bearing is significantly affected by the thermal
distortion of the slider and asperities and even the parallel sliders
seem to carry some load.", keywords = "Thermal Deformation, Tilted pad slider bearing, longitudinal roughness, transverse roughness, load capacity", volume = "7", number = "6", pages = "944-9", }
