Similarity solution for a powerlaw injection distribution in a flatplate thermal boundary layer
Abstract
A similarity solution for the compressible boundary layer on a flat plate cooled by transpiration is derived and discussed. The twodimensional thermal boundary layer flow is described by the energy equation, the xmomentum equation, and the massflow continuity equation. The Prandtl number is assumed to be 1; Sutherland's law is modified to be proportional relation between the dynamic viscosity and the absolute temperature. Additional assumptions require that the enthalpy difference between fluid in the free stream and that at the wall be large in comparison with the freestream velocity head, and that the fluid satisfy the perfect equation of state. A solution for an injected flatplate boundary layer is given. The stream function is discussed and interpreted in the light of calculated values of the convective heat transfer coefficient, and the film effectiveness coefficient.
 Publication:

AIAA, SAE, ASME, and ASEE, 26th Joint Propulsion Conference
 Pub Date:
 July 1990
 Bibcode:
 1990jpof.confS....G
 Keywords:

 Compressible Boundary Layer;
 Flat Plates;
 Gas Injection;
 Sweat Cooling;
 Thermal Boundary Layer;
 Boundary Layer Flow;
 Differential Equations;
 Enthalpy;
 Free Flow;
 Mass Flow;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer