On a highorder accurate method for the numerical study of natural convection in a vertical square cavity
Abstract
A highorder accurate finitedifference method for solving the twodimensional NavierStokes equations has been adapted to study natural convection in cavities. This method has been applied to determine the limit of the conduction and boundarylayer regimes for a square cavity, when the vertical walls are maintained at two different constant temperatures and the horizontal walls are either perfectly insulated or perfectly conducting. Most of the calculations have been carried out for an air cavity (Prandtl number about 0.7). The values of Ra considered range from 100 to 100,000. Powerlaw relationships for the dependence of the average Nusselt number on the Rayleigh number have been derived for the boundarylayer regime.
 Publication:

Numerical Heat Transfer
 Pub Date:
 September 1978
 Bibcode:
 1978NumHT...1..331R
 Keywords:

 Finite Difference Theory;
 Free Convection;
 NavierStokes Equation;
 Two Dimensional Flow;
 Boundary Layers;
 Cavities;
 Convective Flow;
 Iterative Solution;
 Mathematical Models;
 Space Commercialization;
 Wall Temperature;
 Fluid Mechanics and Heat Transfer