Numerical Solution for the Steady Motion of a Viscous Fluid inside a Circular Boundary Using Integral Conditions

The problem of determining the two-dimensional steady motion of a viscous incompressible fluid which is injected radially over one small arc of a circle and ejected radially over another arc is considered and examples are given of both symmetrical and asymmetrical flows. The motion is governed by th...

Full description

Saved in:
Bibliographic Details
Published in:Journal of computational physics 1993-09, Vol.108 (1), p.142-152
Main Authors: Dennis, S.C.R., Ng, M., Nguyen, P.
Format: Article
Language:English
Subjects:
990200 > Mathematics & Computers
Boundary-integral methods
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Computational methods in fluid dynamics
Computational techniques
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
ENGINEERING
EQUATIONS
Exact sciences and technology
FLUID FLOW
Fluid mechanics: general mathematical aspects
GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
INCOMPRESSIBLE FLOW
Mathematical methods in physics
NAVIER-STOKES EQUATIONS
Numerical approximation and analysis
NUMERICAL SOLUTION
Ordinary and partial differential equations, boundary value problems
PARTIAL DIFFERENTIAL EQUATIONS
Physics
SIMULATION 420400 > Engineering-- Heat Transfer & Fluid Flow
VISCOUS FLOW
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The problem of determining the two-dimensional steady motion of a viscous incompressible fluid which is injected radially over one small arc of a circle and ejected radially over another arc is considered and examples are given of both symmetrical and asymmetrical flows. The motion is governed by the Navier Stokes equations and the method of solution is based on the use of truncated Fourier series representations for the stream function and vorticity in the angular polar coordinate. The Navier-Stokes equations are reduced to ordinary differential equations in the radial variable and these sets of equations are solved using finite-difference methods, but with the boundary vorticity calculated using global integral conditions rather than local finite-difference approximations. One of the objects of the investigation is to relate this method to a previous study which did not use integral conditions and also to a recent study which uses an integro-differential method which is different in concept but which also uses integral conditions. A brief review of previous work on the problem is given. Comparisons of present and previous results are excellent.
ISSN:0021-9991
1090-2716
DOI:10.1006/jcph.1993.1169