Similar Solutions of Compressible Boundary-Layer Equations

d F where the suffix w refers to the surface conditions. The condition of heat insulation at the surface is simply 5 = Sw = 0; in that case, Eq. (10) is an identity, while the problem reduces to the solution of the incompressible boundary-layer equation with a main-stream velocity Vi. For the general cases with heat flow across the surface, we must, however, consider Eqs. (9) and (10), together with the boundary conditions, Eqs. (15). If, in Eq. (15), Sw = constant, we can construct similar solutions for the system, Eqs. (9), (10), and (15). To find such similar solutions of the compressible boundary-layer equations, we introduce/, g, v\ as follows: * -rVtfW (16) 5 = Swg(v) (17) Y = ZVi7i (18) where a, b, p, and q are constant parameters satisfying the following conditions simultaneously: dVi dZ K,z-vr (19)