MHD compressible turbulent boundary-layer flow with adverse pressure gradient. (English) Zbl 1078.76079

Summary: The effects of the magnetic field and localized suction on the steady turbulent compressible boundary-layer flow with adverse pressure gradient are numerically studied. The magnetic field is constant and applied transversely to the direction of the flow (global or local). The fluid flow is subjected to a constant velocity of localized suction, and there is no heat transfer between the fluid and the plate (adiabatic plate). The Reynolds-averaged boundary-layer (RABL) equations and their boundary conditions are transformed using the compressible Falkner-Skan transformation. The resulting coupled and nonlinear system of PDEs is solved using the Keller’s box method. For the eddy-kinematic viscosity, the turbulent models of Cebeci-Smith and Baldwin-Lomax are employed. For the turbulent Prandtl number, the extended Kays-Crawford’s model is used. The flow is subjected to an adverse pressure gradient. The obtained results show that the flow field can be controlled by the applied magnetic field as well as by localized suction.


76W05 Magnetohydrodynamics and electrohydrodynamics
76F40 Turbulent boundary layers
76F50 Compressibility effects in turbulence
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