Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate

Closed form solutions for unsteady free convection flows of a second grade fluid near an isothermal vertical plate oscillating in its plane using the Laplace transform technique are established. Expressions for velocity and temperature are obtained and displayed graphically for different values of P...

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Detalles Bibliográficos
Autores principales: Ali, Farhad, Khan, Ilyas, Shafie, Sharidan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3925078/
https://www.ncbi.nlm.nih.gov/pubmed/24551033
http://dx.doi.org/10.1371/journal.pone.0085099
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author Ali, Farhad
Khan, Ilyas
Shafie, Sharidan
author_facet Ali, Farhad
Khan, Ilyas
Shafie, Sharidan
author_sort Ali, Farhad
collection PubMed
description Closed form solutions for unsteady free convection flows of a second grade fluid near an isothermal vertical plate oscillating in its plane using the Laplace transform technique are established. Expressions for velocity and temperature are obtained and displayed graphically for different values of Prandtl number Pr, thermal Grashof number Gr, viscoelastic parameter α, phase angle ωτ and time τ. Numerical values of skin friction τ (0) and Nusselt number Nu are shown in tables. Some well-known solutions in literature are reduced as the limiting cases of the present solutions.
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spelling pubmed-39250782014-02-18 Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate Ali, Farhad Khan, Ilyas Shafie, Sharidan PLoS One Research Article Closed form solutions for unsteady free convection flows of a second grade fluid near an isothermal vertical plate oscillating in its plane using the Laplace transform technique are established. Expressions for velocity and temperature are obtained and displayed graphically for different values of Prandtl number Pr, thermal Grashof number Gr, viscoelastic parameter α, phase angle ωτ and time τ. Numerical values of skin friction τ (0) and Nusselt number Nu are shown in tables. Some well-known solutions in literature are reduced as the limiting cases of the present solutions. Public Library of Science 2014-02-14 /pmc/articles/PMC3925078/ /pubmed/24551033 http://dx.doi.org/10.1371/journal.pone.0085099 Text en © 2014 Ali 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
Ali, Farhad
Khan, Ilyas
Shafie, Sharidan
Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate
title Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate
title_full Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate
title_fullStr Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate
title_full_unstemmed Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate
title_short Closed Form Solutions for Unsteady Free Convection Flow of a Second Grade Fluid over an Oscillating Vertical Plate
title_sort closed form solutions for unsteady free convection flow of a second grade fluid over an oscillating vertical plate
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3925078/
https://www.ncbi.nlm.nih.gov/pubmed/24551033
http://dx.doi.org/10.1371/journal.pone.0085099
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AT shafiesharidan closedformsolutionsforunsteadyfreeconvectionflowofasecondgradefluidoveranoscillatingverticalplate

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