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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 0.7

ISSN Druckformat: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2015012402
pages 345-352


Mohammad Reza Mohaghegh
Department of Mechanical Engineering, University of Torbat Heydarieh, Torbat Heydarieh, Iran


In this paper, numerical solution of similarity equations for compressible laminar boundary-layer flow considering heat transfer and arbitrary pressure gradient has been undertaken. These equations have been solved with the assumption of a small difference in viscosity, adopting a Prandtl number of 1 for a Falkner-Skan type compressible flow. Since similarity equations of momentum and energy of the flow are coupled and dependent on each other, they have to be solved simultaneously. The numerical technique applied in this work is a fourth-order Runge-Kutta method for ordinary differential equations. Also, a shooting method is used for the governing boundary conditions which have to be solved iteratively to reach convergence. Obtained results show that for favorable (negative), pressure gradient, there is no separation in the flow either for the hot wall or for the cold one. It also supports the fact that unfavorable (positive) pressure gradient is a necessity for separation. However, there is a difference between the two obtained face angles that cause separation in these two face conditions. As heat transfer in the boundary layer from the wall to the fluid causes a discontinuity in the velocity profile and will increase the tendency of backflow, this angle is less for a hot wall compared to the cold one. Also, the problem has been simulated using the FluentTM code and the numerical results are compared by the results of Fluent, to validate each other.