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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...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2013
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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. |
format | Online Article Text |
id | pubmed-3838369 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2013 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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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