Numerical Solution of Viscous Flow Equations Using Integral Representations
Abstract
Following an integral representation of field variables in an incompressible viscous flow, the twodimensional interior flow problem is solved by utilizing the finite element method. Steady state Couette flows between two parallel infinite plates separated by a finite distance, with the upper one moving at a finite velocity and the lower one stationary and subject to various pressure gradients in the direction of motion, is studied. The numerical solutions obtained for these flows are found to be in agreement with the exact analytical solutions.
 Publication:

Some Methods of Resolution of Free Surface Problems
 Pub Date:
 1976
 DOI:
 10.1007/354008004X_353
 Bibcode:
 1976LNP....59..448W
 Keywords:

 Couette Flow;
 Finite Element Method;
 Incompressible Flow;
 Integral Equations;
 Steady Flow;
 Viscous Flow;
 Flow Equations;
 Interpolation;
 Pressure Gradients;
 Vector Analysis;
 Fluid Mechanics and Heat Transfer