Finitedifference computation of turbulent free convection from an isothermal vertical plate using a twoequation model of turbulence
Abstract
A two equation, lowReynoldsnumber model of turbulence was applied to turbulent natural convection from an isothermal vertical plate. This case differs from forced convection problems in that the thermal and velocity fields are coupled. First a transformation of coordinates which allows growth of the boundary layer thickness was devised. Then the timeaveraged equations of conservation for mass, momentum, turbulent kinetic energy and turbulenceenergy dissipation were approximated by nonlinear finite difference equations which were implicit in the x direction and in the conservative form. These coupled nonlinear equations were solved by means of a doubleloop iterative scheme in which the method of successive relaxation was used in the inner loops and the method of simultaneous relaxation in the outer loop.
 Publication:

Ph.D. Thesis
 Pub Date:
 November 1977
 Bibcode:
 1977PhDT........68L
 Keywords:

 Convection;
 Finite Difference Theory;
 Isotherms;
 Turbulence Models;
 Turbulent Flow;
 Atmospheric Turbulence;
 Iteration;
 Mathematical Models;
 Relaxation Method (Mathematics);
 Fluid Mechanics and Heat Transfer