Transient natural convection flow over vertical cylinder with variable surface temperatures

An analysis is made for transient natural connective flow over a vertical c ylinder with surface temperature of the cylinder varying as x(n), a power f unction of distance from the leading edge. A Crank-Nicolson type of implici t finite difference method is used to solve the governing non-linear set of equations. Numerical results are obtained and presented for air and water with various n. The transient velocity and temperature profiles, local and average skin-friction and Nusselt numbers are shown graphically. The effect s of exponent n on velocity and temperature profiles, skin-friction and rat e of heat transfer have been analysed. The velocity and temperature profile s are compared with the available results in the literature and it is found to be in good agreement.