Abstract
A simplified approximate analysis for the boundary layer thickness, friction coefficient, and mass flow is presented for an initially turbulent boundary layer on a cone in a supersonic free stream. Considering the effect of curvature on the boundary layer thickness, a non-linear differential equation is obtained whose simple form lends itself easily to a computer program. With the boundary layer thickness small compared to the cone’s radial dimensions, the non-linear Bernoulli differential equation is obtained from the momentum integral equation, and hence is solvable by an appropriate change in variable. Allowing for various exponents in the Blasius friction relation and the velocity profile relation, the method is applicable to a large range in Reynolds numbers. The simple mass flow relation is readily applicable to those situations in which boundary layer control may be desired.
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