On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow

Nonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In the present paper we are concerned with a particular problem...

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Main Author: Jürgen Socolowsky
Format: Article
Language:English
Published: Wiley 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/981983
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author Jürgen Socolowsky
author_facet Jürgen Socolowsky
author_sort Jürgen Socolowsky
collection DOAJ
description Nonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In the present paper we are concerned with a particular problem of coupled heat and mass transfer. Marangoni convection is incorporated, too. The solvability of a corresponding stationary problem is discussed. The obtained results generalize previous results for a similar isothermal problem.
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institution Kabale University
issn 0161-1712
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publishDate 2009-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-52e60a16ad5f4f1599c1488187438ccc2025-02-03T01:21:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/981983981983On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film FlowJürgen Socolowsky0Mathematics Group, Engineering Department, Brandenburg University of Applied Sciences, P.O. Box 2132, 14737 Brandenburg an der Havel, GermanyNonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In the present paper we are concerned with a particular problem of coupled heat and mass transfer. Marangoni convection is incorporated, too. The solvability of a corresponding stationary problem is discussed. The obtained results generalize previous results for a similar isothermal problem.http://dx.doi.org/10.1155/2009/981983
spellingShingle Jürgen Socolowsky
On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow
International Journal of Mathematics and Mathematical Sciences
title On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow
title_full On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow
title_fullStr On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow
title_full_unstemmed On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow
title_short On the Nusselt Solution of a Nonisothermal Two-Fluid Inclined Film Flow
title_sort on the nusselt solution of a nonisothermal two fluid inclined film flow
url http://dx.doi.org/10.1155/2009/981983
work_keys_str_mv AT jurgensocolowsky onthenusseltsolutionofanonisothermaltwofluidinclinedfilmflow