Scruitinization of Krylov subspace method for the solution of Electric Double Layer effect on thermal line contact Elasto-hydrodynamic Lubrication problem
Abstract
The paper presents, the numerical investigation of electrical double layer (EDL) effects on thermal elasto-hydrodynamic lubrication (EHL) line contact problem. The precise model consists of modified Reynolds, film thickness, load balance, and energy equations along with appropriate boundary conditions. The computation of the problem involves apparent viscosity along with viscosity-pressure-temperature and density-pressure-temperature relations. The second order finite difference approximations are used to discretize the governing mathematical equations. The resulting systems of non-linear algebraic equations are solved using Newton-generalized minimum residual (GMRES) method with Daubechies D6 wavelet as pre-conditioner. The temperature grown freely in elasto-hydrodynamic lubrication contact area, the influence of temperature rise on the EDL effect is studied in detail.The results illustrate that, film thickness increases with increase in EDL effect. The minimum film thickness for isothermal case is larger as compared to thermal film thickness and temperature escalation in contacting region reduces the film thickness. The EDL effect enhances fluid film thickness, while temperature rise in the contact area reduces minimum film thickness. Comparison between isothermal and thermal result are presented in the form of figures and tables.
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