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Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate

by Debasish Dey, Ardhendu Sekhar Khound
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 144 - Number 9
Year of Publication: 2016
Authors: Debasish Dey, Ardhendu Sekhar Khound
10.5120/ijca2016910434

Debasish Dey, Ardhendu Sekhar Khound . Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate. International Journal of Computer Applications. 144, 9 ( Jun 2016), 34-40. DOI=10.5120/ijca2016910434

@article{ 10.5120/ijca2016910434,
author = { Debasish Dey, Ardhendu Sekhar Khound },
title = { Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate },
journal = { International Journal of Computer Applications },
issue_date = { Jun 2016 },
volume = { 144 },
number = { 9 },
month = { Jun },
year = { 2016 },
issn = { 0975-8887 },
pages = { 34-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume144/number9/25210-2016910434/ },
doi = { 10.5120/ijca2016910434 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:47:13.503025+05:30
%A Debasish Dey
%A Ardhendu Sekhar Khound
%T Relaxation and Retardation Effects on Free Convective Visco-Elastic Fluid Flow Past an Oscillating Plate
%J International Journal of Computer Applications
%@ 0975-8887
%V 144
%N 9
%P 34-40
%D 2016
%I Foundation of Computer Science (FCS), NY, USA
Abstract

An unsteady two dimensional free convective flow of visco-elastic fluid past a flat surface with heat and mass transfer has been investigated. The surface is oscillating with about a mean velocity U0. Oscillating temperature and concentration about T_∞ and C_∞ respectively have been considered at the surface. The visco-elastic fluid flow is characterized by Oldroyd-B fluid model having two rheological parameters: relaxation time and retardation time. In the governing fluid flow, a magnetic field of uniform strength B0 has been applied along the transverse direction to the surface. Governing equations of motion are solved analytically by using perturbation scheme. Analytical expressions for velocity profiles, shearing stress at the surface, temperature and concentration fields are obtained. Results are discussed graphically for various combinations of flow parameters involved in the solution. A special emphasis is given on the effects of relaxation and retardation times.

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Index Terms

Computer Science
Information Sciences

Keywords

Relaxation and retardation Oldroyd-B fluid model free convection perturbation shearing stress.