On nonisothermal two‐fluid channel flows

  • 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 quiteTwo‐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.show moreshow less

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Metadaten
Author:Jürgen Socolowsky
DOI:https://doi.org/10.3846/1392-6292.2007.12.143-156
ISSN:1392-6292 (print)
ISSN:1648-3510 (online)
Parent Title (English):In: Mathematical modelling and analysis : the Baltic journal on mathematical applications, numerical analysis and differential equations 12 (2007) 1, 143-156
Document Type:Article
Language:English
Year of Publishing:2007
Date of Publication (online):2014/11/07
Release Date:2014/11/07
First Page:143
Last Page:156
University Bibliography:Hochschulbibliographie
Licence (German):Creative Commons - Namensnennung, Nicht kommerziell, Keine Bearbeitung