Abstract
Efforts have been made to study and analyze the effect of slip velocity on the performance of a magnetic fluid based transversely rough porous narrow journal bearing. The Neuringer-Rosensweig model governs the fluid flow while the velocity slip is modeled by the method of Beavers and Joseph. The stochastic model of Christensen and Tonder has been adopted to evaluate the effect of transverse surface roughness. With the adding of suitable boundary conditions, the associated stochastically averaged Reynolds’ equation is solved to obtain the fluid pressure, in turn, which results in the calculation of load carrying capacity. It is found that the combined effect of slip velocity and surface roughness is to decrease the load carrying capacity significantly, in general. Of course, in augmenting the performance of the bearing system, the eccentricity ratio plays a central role even if the slip parameter is at minimum. It is established that the bearing can support a load even in the absence of flow, unlike the case of a conventional lubricant.
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References
Cameron, A.: Basic theory of lubrication. Willy, New York (1972)
Baka, E.: Calculation of the hydrodynamic load carrying capacity of porous journal bearings. Periodica Polytechnica Ser. Mech. Eng. 46, 03–14 (2002)
Desai, C.K., Patel, D.C.: Experimental analysis of pressure distribution of hydrodynamic journal bearing: a parametric study. In: Proceedings of the International Conference on Mechanical Engineering, Bangladesh, ICME 05-AM-30 (2005)
Agostino, V., Ruggiero, A., Senatore, A.: Approximate model for unsteady finite porous journal bearings fluid film force calculation. J. Eng. Tri. Part-J 220, 227–234 (2006)
Durany, J., Pereira, J., Varas, F.: Dynamic stability of journal bearing devices through simulation of thermo hydrodynamic models. Tri. Inter. 9, 1703–1718 (2010)
Yan-yan, M.A.: Performance of dynamically loaded journal bearings lubricated with couple stress fluids considering the elasticity of the liner. J. Zhejiang University SCIENCE A. 9, 916–921 (2008)
Lin, J.: Weakly non-linear bifurcation analysis of a short journal bearing lubricated with Non-Newtonian couple stress fluids. J. Chin. inst. Eng 31, 721–727 (2008)
Zakharov, S.: Hydrodynamic lubrication research: current situation and future prospects. J. Friction Wear 31, 56–67 (2010)
Guha, S.: On the steady-state performance of hydrodynamic flexible journal bearings of finite width lubricated by ferro fluids with micro-polar effect. Int. J. Mech. Eng. Robotics Res. 1, 32–49 (2012)
Shah, R.C., Patel, D.B.: Mathematical analysis of newly designed ferro fluid lubricated double porous layered axially undefined journal bearing with anisotropic permeability, slip velocity and squeeze velocity. Int. J. fluid. mech. 40, 446–454 (2013)
Lin, J., Li, P., Hung, T., Liang, L.: Nonlinear stability boundary of journal bearing systems operating with non-Newtonian couple stress fluids. Tri. Int. 71, 114–119 (2014)
Tzeng, S., Seibel, E.: Surface roughness effect on slider bearing lubrication. Trans. ASME J. Lubr. Technol. 10, 334–338 (1967)
Christensen, H.,Tonder, K.C.: Tribology of rough surface: Stochastic models of hydrodynamic lubrication. SINTEF, Report No. 10/69-18 (1969)
Christensen, H.,Tonder, K.C.: Tribology of rough surface: parametric study and comparison of lubrication models. SINTEF, Report No. 22/69-18 (1969)
Christensen, H., Tonder, K.C.: Hydrodynamic lubrication of rough bearing surfaces of finite width. ASME-ASLE Lubrication Conference, paper No. 70-Lub (1970)
Tala-Ighil, N., Fillon, M., Maspeyrot, P., Bounif, A.: Hydro dynamic effects of texture geometries on journal bearing surfaces. In: Proceedings of the Tenth International Conference on Tribology, Romania, pp. 47–52 (2007)
Buuren, S., Hetzier, H., Hinterkausen, H., Seemann, W.: Novel approach to solve the dynamical porous journal bearing problem. Tri. Inter. 46, 30–40 (2012)
Hsu, T., Chen, J., Chiang, H., Chou, T.: Lubrication performance of short journal bearings considering the effects of surface roughness and magnetic field. Tri. Inter. 61, 169–175 (2013)
Deheri, G.M., Patel, N.D.: Ferrofluid lubrication of an infinitely long rough porous journal bearing. J. Ser. Soc. Commun. Mech 7, 36–58 (2013)
Shukla, S.D., Deheri, G.M.: Effect of slip velocity on the performance of a magnetic fluid based squeeze film in porous rough infinitely long parallel plates. Friction. Wear. Res. 1, 06–15 (2014)
Beavers, G.S., Joseph, D.D.: Boundary conditions at a naturally permeable wall. J. Fluid. Mech. 1, 197–207 (1967)
Bhat, M.V.: Lubrication with a magnetic fluid. Team Spirit (India) Pvt. Ltd. (2003)
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The authors gratefully acknowledge with thanks the fruitful comments and suggestions of the Reviewer/Editor leading to an improvement in the presentation of the paper.
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Shukla, S., Deheri, G. (2016). Effect of Slip Velocity on the Performance of a Magnetic Fluid Based Transversely Rough Porous Narrow Journal Bearing. In: Cushing, J., Saleem, M., Srivastava, H., Khan, M., Merajuddin, M. (eds) Applied Analysis in Biological and Physical Sciences. Springer Proceedings in Mathematics & Statistics, vol 186. Springer, New Delhi. https://doi.org/10.1007/978-81-322-3640-5_15
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DOI: https://doi.org/10.1007/978-81-322-3640-5_15
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