IJPAM: Volume 42, No. 4 (2008)

NUMERICAL SOLUTION FOR FORCED AND
MIXED CONVECTION HEAT TRANSFER FROM
AN UNSTEADY SHEAR-FLOW PAST
A ROTATING CYLINDER

Kenzu Abdella$^1$, Almas Naseem$^2$
$^{1,2}$Department of Mathematics
Trent University
Peterborough, Ontario, K9J 7B8, CANADA
$^1$e-mail: kabdella@trentu.ca


Abstract.In this paper, a numerical study of the flow structure as well as the forced and mixed convective heat transfer from a shear-flow past a rotating cylinder is presented. The flow variables are rescaled with respect to an appropriate boundary layer parameter and the governing equations are expressed in terms of the stream function, the vorticity and the energy function. The numerical method employed is based on a spectral-finite difference scheme in which the flow variables are approximated in terms of the truncated Fourier series and integrated using the finite difference procedure. The numerical solutions are also shown to be consistent with existing analytical and empirical results.

Received: August 17, 2007

AMS Subject Classification: 76R05, 76D10

Key Words and Phrases: forced convection, mixed convection, numerical method, rotating cylinder, shear-flow, laminar

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4