Conjugate effect of conduction and convection with natural convection flow from a vertical flat plate and in an inclined square cavity

Abstract

In this thesis, the tbermo-fluid-dynamic field resulting from tIle coupling of natural convection along and conduction inside a healed nat plate is numerically studied by means of implicit finite difference method in the entire region starting from the lower part of the plate to down ~trcam. The results in terms of shear stress coefliClent and surface temperature coefficient for different Pnmdtl numbers arc compared with the perturbation solution ncar the lower part of the plate and asymptotic solution in the down stream region and found an excellent agreement for flat plate. In second pari unsteady laminar natural convectlOll flow has been considered in an inclined square cavity. The lop horizontal wall, the right vertical wall, the bottom wall of the cavity arc cool and the \ell vertical wall is heated. The equations arc non-dimensional and solved numerically by an upwind finite difference method together with a successive over-relaxation (SOR) technique. Results are shown on the streamlines configuration as well as the isolines of temperatures, The fluid has Prandtl number Pr =7.0 while the value of the Rayleigh numbc~, Ra varies from [03 to 10' and coupling parameter,p varies from (l.O to 1.0 and angle inclination <jl, varies from 0° to 90° for cavity,