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Engineering Review : International journal for publishing of original researches from the aspect of structural analysis, materials and new technologies in the field of mechanical engineering, shipbuilding, fundamental engineering sciences, computer sciences, electrical engin, Vol. 44 No. 3, 2024.

Original scientific paper

https://doi.org/10.30765/er.2432

Scrutinization of Krylov subspace method for the solution of electric double layer effect on thermal line contact elasto-hydrodynamic lubrication problem

Kumar N. Mahesh ; Department of Mathematics, Rani Channamma University, Belagavi-591156, Karnataka, India.
B. Awati Vishwanath ; Department of Mathematics, Rani Channamma University, Belagavi-591156, Karnataka, India. *
M. Obannavar Parashuram ; Department of Mathematics, Rani Channamma University, Belagavi-591156, Karnataka, India.

* Corresponding author.

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Abstract

The paper presents, the numerical investigation of electrical double layer (EDL) effect on thermal elasto-hydrodynamic lubrication (EHL) line contact problem. The precise mathematical model consists of modified Reynolds, film thickness, load balance, and energy equations along with appropriate boundary conditions. The numerical 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 EHL contact area, the influence of temperature rise on EDL effect is studied in detail.The results illustrates 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 reducesminimum film thickness. Comparison between isothermal and the thermal results are presented in the form of figures and tables.

Keywords

thermal EHL; apparent viscosity; EDL; Newton-GMRES; daubechies D6 wavelet; pre-conditioner

Hrčak ID:

323695

URI

https://hrcak.srce.hr/323695

Publication date:

2.12.2024.

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