On nonisothermal two‐fluid channel flows
DOI: https://doi.org/10.3846/1392-6292.2007.12.143-156Abstract
Two‐fluid channel flows arise in different kinds of coating technologies. The corresponding mathematical models represent two‐dimensional free boundary value problems for the Navier‐Stokes equations or their modifications. In this paper we are concerned with the so‐called Boussinesq‐approximation of the coupled heat‐ and mass transfer. Thermocapillary convection is included. The solvability of two related stationary problems is discussed. The solution techniques of both problems are quite different. The obtained results generalize previous results for similar isothermal problems.
First Published Online: 14 Oct 2010
Keywords:
Free boundary value problems, viscous nonisothermal channel flows, two‐fluid flows, Boussinesq‐approximation, thermocapillary convectionHow to Cite
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Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.