Accession Number:

ADA083447

Title:

An Integral Method and Its Application to Some Three-Dimensional Boundary-Layer Flows,

Descriptive Note:

Corporate Author:

NAVAL SURFACE WEAPONS CENTER SILVER SPRING MD

Personal Author(s):

Report Date:

1979-07-18

Pagination or Media Count:

67.0

Abstract:

The simple integral method developed and successfully employed by the author to provide accurate approximate solutions to a wide variety of problems in viscous boundary-layer flows and transient heat conduction with phase changes is further studied. A simple boundary value problem in ordinary differential equation is used as the model problem for the study. Different schemes of the method used in earlier applications are examined in some detail along with a new and potentially more accurate scheme. On the basis of the comparison between the approximate solutions and the exact solution, some remarks on the relative merits of the various schemes are made along with some observations on the judicious choice of the approximate profiles for use in the calculation. The method is then applied to yield approximate solutions of a class of relatively simple three-dimensional boundary-layer flows. Results are reported of boundary layers on a semi-infinite flat plate with parabolic and circular inviscid surface streamlines, and boundary layers over an infinite yawed wing. Results are presented in terms of skin-friction, and are all obtained in simple closed form. Comparisons with existing exact solutions are included to indicate the accuracy of the method. Author

Subject Categories:

  • Numerical Mathematics
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE