SOLUTION OF THE LAMINAR BOUNDARY-LAYER EQUATIONS WITH MASS TRANSFER BY THE GKD MULTIMOMENT METHOD,

Abstract

The Galerkin-Kantorovich-Dorodnitsyn multimoment method is applied to the solution of the steady, two dimensional and axially symmetric laminar boundary-layer equations for the limited class of compressible flows which admit transformation to a corresponding incompressible flow. The convergence and exactness properties of the approximate solutions are presented. The solutions converge toward the exact, usually in a uniform manner. The third and higher orders of approximation are in general less than one percent in error. The fourth order of approximation is suggested as the best compromise between the requirements of accuracy and computational feasibility. The method is applied to several trial calculations which span the spectrum of flows with mass transfer. The results for these flows are in substantial agreement with numerical solutions. The least accurate approximate results are found in the vicinity of blow off on a flat plate. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1967
Accession Number
AD0664591

Entities

People

  • Howard E. Bethel

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Layer
  • Compressible Flow
  • Equations
  • Flow
  • Incompressible Flow
  • Laminar Boundary Layer
  • Layers
  • Mass Transfer
  • Precision
  • Two Dimensional

Fields of Study

  • Physics

Readers

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