AN APPROXIMATE SOLUTION OF THE CROCCO EQUATION,
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1965
- Accession Number
- AD0625206
Entities
People
- Charles J. Ruger
Organizations
- New York University