Accession Number:

AD0773183

Title:

Relations Between Solutions of the Navier-Stokes Equations and of the Boundary Layer Equation,

Descriptive Note:

Corporate Author:

TECHNOLOGY INC DAYTON OHIO

Personal Author(s):

• Guderley,Karl G.
• Wen,Shih-Liang

Report Date:

1973-11-01

Pagination or Media Count:

65.0

Abstract:

The relations between solutions of the full Navier-Stokes equations and of the boundary layer equations are explored by a discussion of the eigensolutions of a model equation which retains the essential features of the problem. Important are the following results. The system of eigensolutions for the full Navier-Stokes equations is not well suited to represent numerically the concentration of vorticity occurring in the boundary layer. Restriction of the viscosity effect to a layer close to the wall is therefore desirable from a numerical point of view. With this provision the boundary layer equation, including a subsequent correction for its displacement thickness, reproduces perturbations of the Navier-Stokes equations which correspond to potential flow solutions with wall corrections and to vorticity effects propagating downstream. The Navier-Stokes equations allow for effects propagating upstream they are confined to a narrow layer close to the wall within the boundary layer and die out very quickly. In the vicinity of a separation point these solutions gain greater importance. Author

Descriptors:

• *Boundary layer flow
• *Navier Stokes equations
• *Vortices
• Two dimensional flow
• Incompressible flow
• Partial differential equations
• Numerical integration

Subject Categories:

• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE