Volume 5, Issue 3, September 2019, Page: 67-74
On Plane Motion of Incompressible Variable Viscosity Fluids with Moderate Peclet Number in Presence of Body Force Via Von-Mises Coordinates
Mushtaq Ahmed, Department of Mathematics, University of Karachi, Karachi, Pakistan
Received: Mar. 13, 2019;       Accepted: Jul. 22, 2019;       Published: Aug. 10, 2019
DOI: 10.11648/j.ijfmts.20190503.12      View  124      Downloads  16
Abstract
The aim of this article is to use von-Mises coordinates to find a class of new exact solutionsof the equations governing the plane steady motion with moderate Peclet number of incompressible fluid of variable viscosity in presence of body force. An equation relating a differentiable function and a stream function characterizes the class under consideration. When the differentiable function is parabolic and when it is not, in both the cases, it finds exact solutions for given one component of the body force. This discourse shows an infinite set of streamlines and the velocity components, viscosity function, generalized energy function and temperature distribution for moderate Peclet number in presence of body force. Moreover, for parabolic case, it obtains viscosity as a function of temperature distribution for moderate Peclet number.
Keywords
Martin’s System, Von-Mises Coordinates, Variable Viscosity, Navier-Stokes Equations with Body Force, Exact Solutions with Body Force
To cite this article
Mushtaq Ahmed, On Plane Motion of Incompressible Variable Viscosity Fluids with Moderate Peclet Number in Presence of Body Force Via Von-Mises Coordinates, International Journal of Fluid Mechanics & Thermal Sciences. Vol. 5, No. 3, 2019, pp. 67-74. doi: 10.11648/j.ijfmts.20190503.12
Copyright
Copyright © 2019 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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