engleski

Higher-order effective model describing a non- isothermal thin film flow

We study the flow and heat transfer inside a thin layer of lubricant film between two surfaces. We start from the Stokes equation coupled with the heat equation including the viscous dissipation term. New second-order asymptotic model is proposed correcting the non-isothermal Reynolds system. Rigorous justification by error estimate of the formally derived effective model is provided.

non-isothermal lubrication ; viscous dissipation ; asymptotic analysis ; higher-order model ; rigorous justification

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