Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

Effects of Viscous Dissipation on the Fluid Flow through a Thin Domain
I. Pažanin , E. Marušič-Paloka
Abstract:
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.
Keywords:
non-isothermal flow, viscous dissipation, asymptotic approximation

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2018.029

In Proceedings Topical Problems of Fluid Mechanics 2018, Prague, 2018 Edited by David Šimurda and Tomáš Bodnár, pp. 217-222 ISBN 978-80-87012-65-9 (Print) ISSN 2336-5781 (Print)