International Journal of Mathematics Trends and Technology
Volume 65 | Issue 3 | Year 2019 | Article Id. IJMTT-V65I3P532 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I3P532
This paper determines a class of exact solutions for plane steady motion of incompressible fluids of variable viscosity for finite Peclet number through von-Mises coordinates. The class is characterized by an equation involving a stream function and two differentiable functions f ( x ) and g ( x ). Successive transformations technique is used on non-dimensional form of basic equations. The exact solutions are determined basing on two velocity profile cases. The first velocity profile case fixes the functions g ( x ) and demands f ( x )to satisfy a second order variable coefficients differential equation whose trivial solution is opted. The second velocity profile case fixes only the function g ( x ) and leaves f ( x ) arbitrary. In both the cases, a large set of expressions for streamlines, viscosity function, generalized energy function and temperature distribution for finite Peclet number can be found.
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Mushtaq Ahmed, "A Class of Exact Solutions of Equations for Plane Steady Motion of Incompressible Fluids of Variable Viscosity for finite Peclet Number through Von-Mises Coordinates," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 3, pp. 216-225, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I3P532
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