Mixed convection from vertical and inclined moving sheets in a parallel freestream

Abstract

Laminar mixed convection adjacent to vertical and inclined moving sheets in a parallel freestream is analyzed for both the uniform wall temperature and the uniform surface heat flux cases. The analysis covers the entire mixed convection regime, from pure forced convection to pure free convection. Numerical results are reported for different combinations of the velocities of the moving sheet us and the freestream u^ for Prandtl numbers of 0.7 and 7. Local Nusselt numbers as well as velocity and temperature distributions are presented for a wide range of the buoyancy* parameter. It is found that the local Nusselt number increases as the value of the buoyancy parameter increases. For the same dimensionless velocity difference \US— t£J, the local Nusselt number is larger for Us> U^ than it is for U^U^. Significant velocity overshoots occur within the boundary layer as the buoyancy parameter increases, with the low Prandtl number fluid exhibiting a more pronounced buoyancy effect than the high Prandtl number fluid. Simple correlations for evaluating local and average mixed convection Nusselt numbers are also presented and very good agreement is found between the computed results and the proposed simple correlations.