Numerical Solution of Natural Convective Flow over a Moving Vertical Cylinder with Mass Transfer
by
P. Ganesan
Professor of Mathematics, Anna University, Chennai - 600 025, India.
Coauthors: P. Loganathan (Siva Subramania Nadar College of Engineering,Kalavakkam - 603 110, India)

A long vertical cylinder is moving vertically upwards with a uniform velocity in an ambient medium. The temperature of the cylinder oscillates in time and a foreign mass is also diffusing into the surrounding medium. Due to the difference in temperature and concentration between the cylinder and fluid, natural convective flow occurs. The flow is governed by a system of unsteady, nonlinear and coupled partial differential equations.

An implicit finite difference scheme of Crank-Nicolson type is employed to solve the equations. The finite difference scheme is stable and accurate. Graphical results for the velocity, temperature, concentration, local and average skin-friction, Nusselt number and Sherwood number are illustrated and discussed for various physical parametric values. It is observed that the velocity and temperature profiles decrease as the frequency parameter of the temperature oscillation increases.

Date received: November 21, 2002