International Journal of Mathematics Trends and Technology
Volume 65 | Issue 3 | Year 2019 | Article Id. IJMTT-V65I3P530 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I3P530
This paper is to present a class of new exact solutions of the system of partial differential equations governing the plane steady motion with intermediate Peclet number of incompressible fluid with variable viscosity in von-Mises coordinates. The class is characterized by an equation relating a differentiable function f ( x ) and a function of stream function satisfying a specific relation. The exact solutions for intermediate Peclet number for two values of f ( x ) are determined. For both values the viscosity function and temperature distribution for intermediate Peclet number are determined. The streamlines, the velocity components, generalized energy function are also obtained. Computer algebra system is used to find solution of two variable coefficient differential equations in terms of special functions.
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Mushtaq Ahmed, "On the Plane Motion of Incompressible Variable Viscosity fluids with Intermediate Peclet Number via Von-Mises Cooordinates," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 3, pp. 200-213, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I3P530
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