Scrutinization of Newton-GMRES Method For the Solution Of Thermal Elastohydrodynamic Lubrication Line Contact Problem With Grease A

Abstract

In the present work, we analyze the thermal Elastohydrodynamic lubrication (EHL) of line contact problem with grease as lubricant. The non-Newtonian Herschel-Bulkley model is employed to derive the governing equations of the physical problem.  The governing mathematical model is analyzed numerically for smooth as well as rough surfaces. The various effects of temperature on pressure and film thickness profile are discussed in detail. The leading equations viz., Reynolds, film thickness, load balance and energy equations along with appropriate boundary constraints are discretized by using second order finite difference approximations. The resulting systems of non-linear algebraic equations were solved numerically through NewtonGMRES method with Daubechies D6 wavelet as pre-conditioner. The multilevel multi integration (MLMI) technique is employed to compute the film thickness. The obtained results are illustrated through figures and tables. The comparison of isothermal and thermal film thickness profiles for various load and speed are presented. It shows that, the isothermal minimum film thickness is greater than compared to the thermal minimum film thickness, and as the flow index n increases the respective film thickness also increases.