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A Variant of Classical Von Kármán Flow for a Second Grade Fluid due to a Rotating Disk

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Author(s): A. A. Farooq | A. R. Ansari | A. M. Siddiqui

Journal: Theory and Applications of Mathematics & Computer Science
ISSN 2067-2764

Volume: 2;
Issue: 2;
Start page: 12;
Date: 2012;
Original page

Keywords: Non-axisymmetric flow | rotating disk | second grade fluid.

ABSTRACT
An attempt is made to examine the classical Von Kármán flow problem for a second grade fluid by using ageneralized non-similarity transformation. This approach is dierent from that of Von Kármán’s evolution of theflow in such a way that the physical quantities are allowed to develop non-axisymmetrically. The three-dimensionalequations of motion for the second grade fluid are treated analytically yielding the derivation of the exact solutions forthe velocity components. The physical interpretation of the velocity components, vorticity components, shear stressesand boundary layer thickness are also presented.
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