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Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid

The unsteady natural convection flow of an incompressible viscous fluid near a vertical plate that applies an arbitrary shear stress to the fluid is studied using the Laplace transform technique. The fluid flow is due to both the shear and the heating of the plate. Closed-form expressions for veloci...

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Autores principales: Rubbab, Qammar, Vieru, Dumitru, Fetecau, Corina, Fetecau, Constantin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3838369/
https://www.ncbi.nlm.nih.gov/pubmed/24278110
http://dx.doi.org/10.1371/journal.pone.0078352
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author Rubbab, Qammar
Vieru, Dumitru
Fetecau, Corina
Fetecau, Constantin
author_facet Rubbab, Qammar
Vieru, Dumitru
Fetecau, Corina
Fetecau, Constantin
author_sort Rubbab, Qammar
collection PubMed
description The unsteady natural convection flow of an incompressible viscous fluid near a vertical plate that applies an arbitrary shear stress to the fluid is studied using the Laplace transform technique. The fluid flow is due to both the shear and the heating of the plate. Closed-form expressions for velocity and temperature are established under the usual Boussinesq approximation. For illustration purposes, two special cases are considered and the influence of pertinent parameters on the fluid motion is graphically underlined. The required time to reach the steady state in the case of oscillating shear stresses on the boundary is also determined.
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spelling pubmed-38383692013-11-25 Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid Rubbab, Qammar Vieru, Dumitru Fetecau, Corina Fetecau, Constantin PLoS One Research Article The unsteady natural convection flow of an incompressible viscous fluid near a vertical plate that applies an arbitrary shear stress to the fluid is studied using the Laplace transform technique. The fluid flow is due to both the shear and the heating of the plate. Closed-form expressions for velocity and temperature are established under the usual Boussinesq approximation. For illustration purposes, two special cases are considered and the influence of pertinent parameters on the fluid motion is graphically underlined. The required time to reach the steady state in the case of oscillating shear stresses on the boundary is also determined. Public Library of Science 2013-11-22 /pmc/articles/PMC3838369/ /pubmed/24278110 http://dx.doi.org/10.1371/journal.pone.0078352 Text en © 2013 Rubbab et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Rubbab, Qammar
Vieru, Dumitru
Fetecau, Corina
Fetecau, Constantin
Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid
title Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid
title_full Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid
title_fullStr Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid
title_full_unstemmed Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid
title_short Natural Convection Flow near a Vertical Plate that Applies a Shear Stress to a Viscous Fluid
title_sort natural convection flow near a vertical plate that applies a shear stress to a viscous fluid
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3838369/
https://www.ncbi.nlm.nih.gov/pubmed/24278110
http://dx.doi.org/10.1371/journal.pone.0078352
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