Ma. Hossain et Sc. Paul, Free convection from a vertical permeable circular cone with non-uniform surface temperature, ACT MECHAN, 151(1-2), 2001, pp. 103-114
Laminar free convection from a vertical permeable circular cone maintained
at nonuniform surface temperature is considered. Non-similar solutions for
boundary-layer equations are found to exist when the surface temperature fo
llows the power law variations with the distance measured from the leading
edge. The numerical solutions of the transformed non-similar boundary-layer
equations are obtained by using three methods, namely, (i) a finite differ
ence method, (ii) a series solution method, and (iii) an asymptotic solutio
n method. Solutions are obtained in terms of skin friction, heat transfer,
velocity profile and temperature profile for smaller values of Prandtl numb
er and temperature gradient are displayed in both tabular and graphical for
ms. Finite difference solutions are compared with the solutions obtained by
perturbation and asymptotic techniques and found to be in excellent agreem
ent.