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.
Some Exact Analytical Solutions for Two-Dimensional Flow of an Incompressible Second Grade Fluid
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received November 12, 2014; final manuscript received April 12, 2015; published online June 15, 2015. Assoc. Editor: Sharath S. Girimaji.
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Ullah, S. (October 1, 2015). "Some Exact Analytical Solutions for Two-Dimensional Flow of an Incompressible Second Grade Fluid." ASME. J. Fluids Eng. October 2015; 137(10): 101206. https://doi.org/10.1115/1.4030491
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