Separation solutions for the similar laminar boundary layer

Abstract

The complete spectrum of similar laminar boundary-layer solutions exhibiting separation, pressure gradient, and mass transfer (blowing or suction) have been obtained. The resulting map includes variation of pressure gradient parameter and heat-transfer parameter as functions of mass transfer rate and wall enthalpy ratio. The solutions range from the limiting Blasius blow-off to an identification of asymptotic suction solutions. These latter solutions are obtained analytically. Nomenclature a,b = curve fit constants c = constant of integration / = transformed stream function g = stagnation enthalpy ratio, hs/hse h = static enthalpy qw = wall heat-transfer rate r = radius s = transformed streamwise coordinate u = streamwise velocity v = normal velocity x = streamwise coordinate y = normal coordinate /? = pressure gradient parameter 5* = displacement thickness t = transformed normal coordinate 0 = momentum thickness BH = energy thickness K — characteristic of asymptotic solution