A computational model for the laminar flow boundary layer in a thermally driven vortex
Abstract
The model was developed using the method of finite differences. The complete, compressible form of the steady state NavierStokes equations, the continuity equation and energy equation were employed. A variable step size computational grid was used to conserve computer storage space. Laminar flows were computed for both rigid body outer flow and combined potentialrigid body core outer flow for isothermal and thermally driven cases. The validity of the model and the computational scheme is confirmed by comparison of the finite difference solution with the similarity solution for rigid body flow over an infinite plane. In order to obtain a suitable set of boundary conditions at large radial distance, the Stewartson profiles for radial and tangential velocities near the edge of a finite disc were used. In addition, a set of polynomial profiles which satisfy the boundary conditions were used. These profiles prove to be satisfactory and produce results that agree qualitatively with other results.
 Publication:

Ph.D. Thesis
 Pub Date:
 1980
 Bibcode:
 1980PhDT........55W
 Keywords:

 Boundary Layer Flow;
 Laminar Flow;
 Mathematical Models;
 Vortices;
 Boundary Conditions;
 Compressible Flow;
 Finite Difference Theory;
 NavierStokes Equation;
 Rigid Structures;
 Fluid Mechanics and Heat Transfer