Journal Bearing Lubrication of Power Law Fluid with Consistency Variation Including Convection
An effort is made to discuss the vital effects of temperature on hydrodynamic lubrication of journal bearing by non-Newtonian power law lubricants. Boundary surfaces are assumed to be rigid and isothermal. It is assumed that the consistency of the lubrica
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Abstract An effort is made to discuss the vital effects of temperature on hydrodynamic lubrication of journal bearing by non-Newtonian power law lubricants. Boundary surfaces are assumed to be rigid and isothermal. It is assumed that the consistency of the lubricant varies with film temperature and pressure, as considered by some researchers. The employed equations of motion and the continuity are solved numerically and analytically. For the numerical solution, Runge–Kutta–Fehlberg method is employed with adequate tolerance. The effects of temperature and pressure are analyzed through various table and graphs as functions of the consistency index of the lubricant velocity and journal velocity.
1 Introduction In general, in a heavily loaded lubricated bearing, high pressure and temperature plays significant role. The lubricant properties do not remain constant, and it depends on pressure and temperature. However, solving Reynolds and energy equation simultaneously and analytically is a complicated task, and one has to work out numerically. Sometimes the convergence of solution is so poor that getting one D. Prasad Department of Mathematics, K.M. Centre for Post Graduate Studies, Lawspet 605008, Puducherry, India S.S. Panda Department of Mathematics, Dravidian University, Kuppam, Andhra Pradesh, India S.S. Panda Sir C.R.R. College of Engineering, Eluru 534001, Andhra Pradesh, India V.S. Sajja (&) Department of Mathematics, K.L. University, Guntur 522502, Andhra Pradesh, India e-mail: [email protected] © Springer Nature Singapore Pte Ltd. 2018 M.K. Singh et al. (eds.), Applications of Fluid Dynamics, Lecture Notes in Mechanical Engineering, https://doi.org/10.1007/978-981-10-5329-0_20
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feasible solution is difficult. In view of these situations, one may attempt this by making some appropriate assumption to get a feasible solution. Johnson and Mangkoesoebroto (1993) built up a theory of lubrication for the power law fluid and investigated it intricately. Just the infinite width gap is measured. Here the flow is considered between rigid walls of subjective shape under consolidated coquet and crushing movement with a pressure gradient. A mathematical equation for the pressure gradient is formed by combining these mathematical statements. To show the hypothesis, it is utilized to compute the pressure dispersion for a parabolic slider bearing and the pressure inclination and velocity distribution when the mass flux is recommended. Nessil et al. (2013) studied the lubrication of journal bearings by utilizing non-Newtonian liquids which are depicted by a power law model. The performance qualities of the journal bearings are resolved for different estimations of the non-Newtonian power law index ‘n’ which lie between 0.9 and 1.1 including Newtonian. The obtained numerical results demonstrate that for the dilatants liquids (n > 1), the load conveying limit, the pressure, the temperature, and the frictional power increases while for the pseudoplastic liquids (n < 1), the outcome is reversed. The impac
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