# The Role of Special Functions in a Viscous Flow Problem Involving Two Cylinders

Chakrabarti, A and Hamsapriye, * (2000) The Role of Special Functions in a Viscous Flow Problem Involving Two Cylinders. In: Mechanics Research Communications, 27 (1). pp. 123-130.

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## Abstract

The theoretical understanding of slow, axi-symmetric, steady, creeping motion of viscous fluids, in the cylindrical geometry ${(\rho,\phi,z)}$ denoting the cylindrical coordinates of a material point in standard notations can be completed by determining the Stokes's stream function $\psi(\rho,z)$ (independent of ${\phi}$, because of axisymmetry), which is known (see [4]) to satisfy a fourth order partial differential equation (PDE) as given by (see also the Appendix):

Item Type: Journal Article Copyright of this article belongs to Elsevier. Division of Physical & Mathematical Sciences > Mathematics 18 Aug 2006 19 Sep 2010 04:29 http://eprints.iisc.ernet.in/id/eprint/7808