Similarity solutions for unsteady laminar boundary layer flow around a vertical heated curvilinear surface

Abstract

Similarity solution plays a vital role for the reduction of variables (depcndents or independents) when the questions of partial differential equations arise in dealing with the boundary value problems. The present study deals with the possible similarity solutions of unsteady Iaminor boundary layer free convection flow around a vertical curvilinear surtaec. The froc parameter method is introduced. Then the pertinent ooundary layer partial differential equations under a suitable transformation are reduced to a set of ordinary dilTercntiai equatiollS. These simultaneoi.L~transformed ordinary differential equations with proper boundary conditions are solved numerically using Nachlshcim-Swigert iteration technique and Runge-Kulla shooting method. The results arc compared with an other relevant works for special situations. The non-dimensional skin-friction factors (=fw,(O),r.2(O») and heat trans/ee co-efficient (=qw(O)) arc displayed and shown graphically for some values of the controlling parameters by using the Software FORTRAN 77 and TECPLOT.