Accession Number : AD0625206

Title :   AN APPROXIMATE SOLUTION OF THE CROCCO EQUATION,

Corporate Author : NEW YORK UNIV N Y

Personal Author(s) : Ruger,Charles J.

Report Date : OCT 1965

Pagination or Media Count : 46

Abstract : The Crocco equation for zero pressure gradient and a constant viscosity-density product is linearized and the results applied to boundary layer problems where the given initial profile is much different from Blasius profile. Three linearization assumptions are used, each of which leads to an eigenvalue problem having a discrete spectrum of eigenvalues. This allows the shear stress to be expressed as a series. Far downstream of the initial station the first term of this series dominates. Solutions valid in this region are obtained for each assumption and are compared to the exact similar solution. The best of the three assumptions is applied to two examples where it is desired to find the flow behind a region having mass injection. Comparison to finite difference solutions shows the present solution to be satisfactory and superior to solutions obtained by perturbations from the Blasius solution. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), DIFFERENTIAL EQUATIONS), (*PERTURBATION THEORY, FLUID MECHANICS), BOUNDARY LAYER, THEORY, PRESSURE, SHEAR STRESSES, HYPERSONIC FLOW, SERIES(MATHEMATICS), NUMERICAL INTEGRATION

Subject Categories : Numerical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE