Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field
American Journal of Aerospace Engineering
Volume 4, Issue 4, August 2017, Pages: 38-53
Received: Dec. 10, 2017; Accepted: Jan. 11, 2018; Published: Jan. 30, 2018
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Authors
GM Fahad Bin Mostafa, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Md. Rakib Hossain, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
Md. Abdus Samad, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
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Abstract
The unsteady laminar boundary layer flow along a vertical stationary plate was investigated by taking into account the viscous dissipation of non- Newtonian fluid in case of free convection particularly. The governing non-linear partial differential equations are transformed into ordinary differential equations using a similarity transformation. Transformed equations have been discretized by finite difference approximation. The effects of viscous dissipation on velocity and temperature profile with unsteady case dimensionless numbers such as, Prandtl number (Pr), Eckert number (Ec), Grashof number (Gr) and magnetic parameter (M) have been depicted. It is observed that the interaction between the viscous heating and the buoyancy force has a significant influence on the results. Small effects have been found for Eckert number (Ec). Eventually, skin fiction coefficient (Cf) and heat transfer rate (Nu) are presented in tabular form for engineering studies.
Keywords
Unsteady, Non-Newtonian Fluid, Viscous Dissipation, Free Boundary Layer, Skin Fiction, Heat Transfer Rate
To cite this article
GM Fahad Bin Mostafa, Md. Rakib Hossain, Md. Abdus Samad, Numerical Study of Unsteady Mass Motion Flow of Power Law Fluid Along a Vertical Plate with the Effect of Viscous Dissipation and Low Magnetic Field, American Journal of Aerospace Engineering. Vol. 4, No. 4, 2017, pp. 38-53. doi: 10.11648/j.ajae.20170404.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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