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    STUDIA MATHEMATICA - Issue no. 1 / 2008  
         
  Article:   TRANSIENT LAMINAR FREE CONVECTION FROM A VERTICAL CONE WITH NON-UNIFORM SURFACE HEAT FLUX.

Authors:  BAPUJI PULLEPUL, J. EKAMBAVANAN, I. POP.
 
       
         
  Abstract:   In this paper, transient laminar free convection from an incompressible viscous fluid past a vertical cone with non-uniform surface heat flux qw(x) = xm varying as a power function of the distance from the apex of the cone (x = 0) is presented. Here m is the exponent in power law variation of the surface heat flux. The dimensionless governing equations of the flow that are unsteady, coupled and non-linear partial differential equations are solved by an efficient, accurate and unconditionally stable finite difference scheme of Crank-Nicolson type. The velocity and temperature fields have been studied for various parameters such as Prandtl number Pr and the exponent m. The local as well as average skin friction and Nusselt number are also presented graphically and discussed in details. The present results are compared with available results from the open literature and are found to be in very good agreement.  
         
     
         
         
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