Affiliation:
1. Department of Mathematics, Government College University, Lahore 54000, Pakistan e-mail:
Abstract
This investigation deals with some exact analytical solutions of the incompressible second grade fluid by using the method based on the separation of variables. In many cases, this method can derive exact analytical solutions easier than other methods. A family of solutions is derived in this paper, which governs scientific and engineering experimentations. The derived solutions represent the flows having streamlines as a family of ellipses, parabolas, concentric circles, and rectangular hyperbolas. From practical point of view, these flows have applications in many manufacturing processes in industry. Some physical features of the derived solutions are also illustrated by their contour plots.
Reference30 articles.
1. Thermodynamics, Stability and Boundedness of Fluids of Complexity 2 and Fluids of Second Grade;Arch. Ration. Mech. Anal.,1974
2. The Flow of a Second Grade Fluid;Int. J. Eng. Sci.,1983
3. Intégration des Équations du Mouvement d'un Fluide Visqueux Incompressible,1963
4. A New Solution of the Navier—Stokes Equation for the Motion of a Fluid Contained Between Two Parallel Plates Rotating About the Same Axis;Arch. Mech. Stosow.,1979
5. An Exact Solution of the Navier—Stokes Equation: The Vortex With Curvilinear Axis;Int. J. Eng. Sci.,1982
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