engleski

Effects of viscous dissipation on the fluid flow through a thin domain

In this work we investigate the flow and heat transfer inside a thin layer of fluid between two plane surfaces. The governing flow is described by the Stokes equation coupled with the heat equation involving the nonlinear viscous dissipation term. Using asymptotic analysis with respect to the layer thickness, a second-order effective model is proposed in the form of the explicit formulae for the velocity and temperature. Justification via error estimate is also discussed.

non-isothermal flow ; viscous dissipation ; asymptotic approximation

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