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Effect of Surface Roughness on the Pressure Generation in a Finite Rough Hydrodynamic Journal Bearing under Micropolar Lubrication in Steady-State


Affiliations
1 Govt. Polytechnic, Lakhisarai, Bihar, India
2 Technosoft Electronics Pvt. Ltd., Mumbai, India
3 Department of Engineering and Technological Studies, University of Kalyani , Kalyani, West Bengal, India
4 Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani, West Bengal, India
 

In hydrodynamic lubrication of journal bearing pressure of the fluid film is generated as a result of the viscous drag of the fluid into the wedge shaped gap between the journal and bearing due to relative motion of the journal with respect to the bearing. The pressure development of fluid is important in this type of lubrication to ensure performance of journal bearing. On the other hand, every surface has some degree of roughness that affects relative motion of the journal bearing system. This paper, thus, aims to present a detailed study of hydrodynamic pressure built up of a journal bearing including the roughness of the surfaces. The modified Reynolds equation is derived on the basis of theory of micropolar lubrication incorporating suitable roughness model. The resulting equation is solved numerically at steady state operating condition using cavitation boundary condition to observe distribution of pressure. The effects of variations in operating variables in terms of characteristic of lubricant and parameters defining roughness model are computed. The analytical results are compared with the available published results to validate the theory and computer code. The numerical result shows that for same geometrical condition maximum pressure developed in micropolar fluid always remain higher than that in Newtonian fluid. The steady state pressure is found to be decreased as the values of the roughness parameters are increased.

Keywords

Hydrodynamic Bearing, Micropolar Lubrication, Roughness, Steady State, Pressure Profile.
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  • Eringen, A.C., Theory of Micropolar Fluids, J. Math. Mech., Vol.16, No.1, pp.1-18, 1966.
  • Prakash, J. and Sinha, P., Lubrication Theory for Micropolar Fluids and Its Application to a Journal Bearing, Int. J. Engng. Sci., Vol.13, pp.217-232, 1975.
  • Tipei, N., Lubrication with Micropolar Liquids and Its Application to Short Bearings, J. Lub. Technol., Trans. ASME, Vol.101, Jul., pp.356-363, 1979.
  • Singh, C. and Sinha, P., The ThreeDimensional Reynolds Equation for Micropolar Fluid Lubricated Bearings, Wear, Vol.76, No.2, pp.199-209, 1982.
  • Khonsari, M.M. and Brewe, D.E., On the Performance of Finite Journal Bearings Lubricated with Micropolar Fluids, STLE Tribology Transactions, Vol.32, No.2, pp.155–60, 1989.
  • Das, S., Steady State and Dynamic Analysis including Stability of Hydrodynamic Journal Bearings with Micropolar Lubrication, Doctoral Thesis, Bengal Engineering and Science University, Shibpur, 2004.
  • Hamilton, D.B., Walowit, J.A. and Allen, C.M., A Theory of Lubrication by Microirregularities, J. Basic Engng., Trans ASME, Ser. D., Vol.88, No.1, pp.177–185, 1966.
  • Christensen, H., Stochastic Models for Hydrodynamic Lubrication of Rough Surfaces, Proc. Instn. Mech. Engrs., Vol.184, pp.1013–1025, 1969.
  • Christensen, H. and Tonder, K., The Hydrodynamic Lubrication of Rough Journal Bearings, Trans. ASME, J. of Lubr. Tech., Series F, April, pp.166–170, 1973.
  • Guha, S.K., Analysis of Steady-State Characteristic of Misaligned Hydrodynamic Journal Bearings with Isotropic Roughness Effect, Trib. Int., Vol.33, No.1, pp.1–12, 2000.
  • Cheng–I., Weng and Chien-Ru C., Linear Stability of Short Journal Bearings with Consideration of Flow Rheology and Surface Roughness, Trib. Int., Vol.34, No.1, pp.507–516, 2001.
  • Rao, P.S. and Agarwal, S., Effect of Surface Roughness on the Hydrodynamic Lubrication of Porous Inclined Slider Bearing Considering Slip Velocity and Squeeze Velocity with Couple Stress Fluids, Int. J. Engng. Sc. and Tech., Vol.6, No.2, pp. 45–64, 2014.
  • Mishra, P.C., Analysis of a Rough Elliptic Bore Journal Bearing using Expectancy Model of Roughness Characterization, Trib. in Industry, Vol. 36, No. 2, pp.211– 219, 2014.
  • Yan, X-L., Wang, X-L and Zhang, Y-Y., Influence of Roughness Parameters Skewness and Kurtosis on Fatigue Life Under Mixed Elastohydrodynamic Lubrication Point Contacts, J. Tribol., ASME, Vol. 136, No. 3, 2014.
  • Floberg, L., Boundary Condition of Cavitation Regions in Journal Bearings, ASLE Trans., Vol.4, pp.282–286, 1961.
  • Castelli, V., Stevenson, C.H. and Gunter, E.J., Steady-state Characteristic of Gas lubricated Self-acting Partial-arc Journal Bearings of Finite Width, Trans., ASLE., Vol.7, pp.153–167, 1964.
  • Dowson D., Developments in Lubrication – the Thinning Film, J. Phys. D, Appl Phys, Vol.25, Ser.A, pp.334–339, 1992.

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  • Effect of Surface Roughness on the Pressure Generation in a Finite Rough Hydrodynamic Journal Bearing under Micropolar Lubrication in Steady-State

Abstract Views: 379  |  PDF Views: 111

Authors

Gautam Kumar
Govt. Polytechnic, Lakhisarai, Bihar, India
Sujeet Kumar Jha
Technosoft Electronics Pvt. Ltd., Mumbai, India
Ujjal Baidya
Department of Engineering and Technological Studies, University of Kalyani , Kalyani, West Bengal, India
Santanu Das
Department of Mechanical Engineering, Kalyani Government Engineering College, Kalyani, West Bengal, India
Sanjoy Das
Department of Engineering and Technological Studies, University of Kalyani , Kalyani, West Bengal, India

Abstract


In hydrodynamic lubrication of journal bearing pressure of the fluid film is generated as a result of the viscous drag of the fluid into the wedge shaped gap between the journal and bearing due to relative motion of the journal with respect to the bearing. The pressure development of fluid is important in this type of lubrication to ensure performance of journal bearing. On the other hand, every surface has some degree of roughness that affects relative motion of the journal bearing system. This paper, thus, aims to present a detailed study of hydrodynamic pressure built up of a journal bearing including the roughness of the surfaces. The modified Reynolds equation is derived on the basis of theory of micropolar lubrication incorporating suitable roughness model. The resulting equation is solved numerically at steady state operating condition using cavitation boundary condition to observe distribution of pressure. The effects of variations in operating variables in terms of characteristic of lubricant and parameters defining roughness model are computed. The analytical results are compared with the available published results to validate the theory and computer code. The numerical result shows that for same geometrical condition maximum pressure developed in micropolar fluid always remain higher than that in Newtonian fluid. The steady state pressure is found to be decreased as the values of the roughness parameters are increased.

Keywords


Hydrodynamic Bearing, Micropolar Lubrication, Roughness, Steady State, Pressure Profile.

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DOI: https://doi.org/10.21843/reas%2F2016%2F39-53%2F158775