Flow and heat transfer due to impulsive motion of a cone in a viscous fluid

Numerical solution has been obtained for the development of the flow over a cone which is impulsively set into motion. Initially the flow is described by the solution of Rayleigh and then it tends to the ultimate steady state solution of Falkner-Skan equation. But due to the leading edge effect the semi-similar equation describing the transient flow changes its character after certain time and the solution depends also on the ultimate steady state solution of the Falkner-Skan equation. A second-order upwind difference scheme has been used for discretisation. The temperature distribution and heat transfer has also been obtained for constant wall temperature as well as for constant heat flux at the wall. With the increase of m, Falkner-Skan parameter, the magnitude of skin friction and wall heat transfer increases. It has been found that for m ≥ -0.275 flow separation does not occur.