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Galerkin representations and fundamental solutions for an axisymmetric microstretch fluid flow

Published online by Cambridge University Press:  25 January 2009

H. H. SHERIEF ,
M. S. FALTAS  and
E. A. ASHMAWY
H. H. SHERIEF
Affiliation:
Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt
M. S. FALTAS
Affiliation:
Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt
E. A. ASHMAWY*
Affiliation:
Department of Mathematics, Faculty of Science, University of Alexandria, Alexandria, Egypt
*
†Email address for correspondence: eaashmawy@sci.alex.edu.eg
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Abstract

The method of associated matrices is used to obtain Galerkin type representations. Fundamental solutions are then obtained for the cases of a point body couple and a point microstretch force. A formula for calculating the total couple acting on a rigid body rotating axi-symmetrically in a microstretch fluid is deduced. A generalized reciprocal theorem is deduced. An application for a rigid sphere rotating in a microstretch fluid is discussed. The results of the application are represented graphically.

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Type
Papers
Information
Journal of Fluid Mechanics , Volume 619 , 25 January 2009 , pp. 277 - 293
Copyright
Copyright © Cambridge University Press 2008

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