SOLUTION OF THE GENERAL BOUNDARY-LAYER EQUATIONS FOR COMPRESSIBLE LAMINAR FLOW, INCLUDING EQUILIBRIUM DISSOCIATION,

Abstract

An accurate and rapid method is presented for solution of the complete equations of compressible, steady, laminar-boundary-layer flow. The method allows arbitrary conditions for all of the following: pressure gradient, surface temperature and its gradient, heat transfer, mass transfer, and fluid properties. It can handle flows in which equilibrium dissociation occurs. Also, the second-order effect of transverse curvature is retained. The only restrictions are geometric. The method of solution consists of replacing the partial derivatives with respect to the flow direction by finite differences, while retaining the derivatives in a direction normal to the boundary. Arbitrary fluid properties may be used in the method of solution, if they are inputs in the computer program in the form of formulas or tables. The method has been programmed on an IBM 7094 computer, and solutions for a variety of flows are presented. Comparisons are made with other exact and approximate methods and with experiment. Calculations and comparisons establish that the method is rapid, highly accurate, and powerful. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1963
Accession Number
AD0428079

Entities

People

  • A. M. O. Smith
  • Darwin W. Clutter

Organizations

  • Douglas

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Computer Programs
  • Computers
  • Dissociation
  • Equations
  • Flow
  • Heat Transfer
  • Laminar Boundary Layer
  • Laminar Flow
  • Layers
  • Mass Transfer
  • Pressure Gradients
  • Surface Temperature
  • Temperature Gradients

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.