PAPER TITLE :SPECTRAL HOMOTOPY ANALYSIS OF THERMAL RADIATION WITH HEAT TRANSFER EFFECT ON COMPRESSIBLE BOUNDARY LAYER FLOW ON A WEDGE

JOURNAL Of SUSTAINABLE TECHNOLOGY | VOLUME 10 NUMBER 1 2019

Paper Details

  • Author(s) : Akinade, M.O.1; Alao, F.I.1 and Crankson, M.V.2
  • Abstract:

This paper is concerned with the heat transfer effect on compressible boundary layer
flow of fluid on a wedge, taking into account the thermal radiation process. The compressible boundary
layer governing equations were transformed using the Stewartson transformation variables. The
resulting partial differential equations (PDEs) are further transformed using dimensionless and
similarity variables, into a third and a second order boundary value problem (BVP) of coupled nonlinear
ordinary differential equations (ODEs) system corresponding to the momentum and the energy
equations respectively. The numerical method, spectral homotopy analysis method (SHAM) is used to
solve the coupled nonlinear equations. The results are displayed graphically. The results indicate
that the SHAM is very accurate and can be used as an efficient tool for solving nonlinear ODEs of the
type discussed in this paper. The results were compared with the existing results obtained by the
adomian decomposition method (ADM), which is an approximate analytical approach, to the problem.
Keywords: Thermal radiation, compressible flow, boundary layer, heat transfer, spectral homotopy analysis
method