Abstract
A finite-difference method is used to study the heat-transfer response of an incompressible, laminar, natural convection, unsteady flow along a semi-infinite vertical cylinder with temperature oscillations. The governing boundary layer equations are converted into a non-dimensional form. The dimensionless, unsteady, coupled and non-linear governing equations are solved by more accurate, unconditionally stable and fast converging implicit finite difference scheme of Crank-Nicolson method. Calculations have been carried out for a wide range of parameters to examine the results obtained. Transient effects of velocity and temperature are analysed. They found to be increase with time and after certain lapse of time attains temporal maximum and becomes steady. Velocity and temperature profiles decreases as the frequency parameter increases. Local and average skin-friction and Nusselt number are shown graphically.
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