Solution of Fluid Dynamic Equations for Gun Tube Flow by the Method of Weighted Residuals. Part 1. Unsteady Compressible Boundary Layers
Abstract
The overall gun tube heat transfer problem applicable to any weapon, ammunition, and firing schedule was analyzed. The governing equations of unsteady compressible boundary layers are a system of nonlinear parabolic partial differential equations with three independent variables. The transverse coordinate is modified to absorb the compressibility effect. The stream function is introduced to satisfy the continuity and also to eliminate one of the dependent variables. The method of weighted residuals is used to reduce by one the number of independent variables. The functional in approximate solution form is chosen on the basis of the asymptotic solution of the steady differential equations for large values of the spacelike coordinate. The error functions, consequently, occur in the solution form for boundary layers.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1972
- Accession Number
- AD0746235
Entities
People
- Philip D. Benzkofer
- Rao V. S. Yalamanchili