Accession Number:

ADA010355

Title:

Numerical Study of Steady Flow in a Two-Dimensional Rectangular Channel with an Asymmetric Velocity Input Profile.

Descriptive Note:

Technical rept.,

Corporate Author:

HARRY DIAMOND LABS ADELPHI MD

Personal Author(s):

• Hershall,Paul G.

Report Date:

1974-12-01

Pagination or Media Count:

69.0

Abstract:

The two-dimensional, viscous, incompressible, steady flow in a semi-infinite rectangular channel is investigated numerically. A given jet with asymmetrical velocity profile is assumed at the inlet and fully developed flow is assumed at an infinite distance downstream. Using the split Navier-Stokes equation, with stream function and vorticity as dependent variables, central differences are used to set up difference equations. These are relaxed in the Gauss-Seidel mode with the aid of two relaxation factors for each equation and a maximum-number-of-iterations parameter for each equation. The optimum convergence rate is investigated empirically as a function of these six parameters. Convergence is obtained in this way up to Reynolds number 200 and optimum sets of values are given for R sub e 1, 10, 50, and 200.

Descriptors:

• *FINITE DIFFERENCE THEORY
• *TWO DIMENSIONAL FLOW
• *INCOMPRESSIBLE FLOW
• COMPUTER PROGRAMS
• VORTICES
• FORTRAN
• NAVIER STOKES EQUATIONS
• ITERATIONS
• LAMINAR FLOW
• REYNOLDS NUMBER

Subject Categories:

• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE