Numerical calculation of thermally driven twodimensional unsteady laminar flow in cavities of rectangular cross section
Abstract
Numerical results are reported for thermally driven laminar flow in twodimensional rectangular geometries with one plane, the aperture plane, removed. Finitedifference expressions are derived from a set of approximated transport equations in which large temperature and density variations are allowed but highfrequency pressure oscillations are not. The approach allows small time step limitations to be removed from the calculation procedure. A secondorder accurate quadratic upstream interpolation technique is used for the finite differencing of convection terms in the transport equations, thus reducing numerical diffusion error. Parameters varied in the calculations were cavity aspect ratio and inclination angle with respect to gravity, inside wall temperature, and Grashof number. A value of Prandtl number corresponding to air was fixed (Pr = 0.73). For the conditions studied, flow and temperature fields within the cavity are determined mainly by local heat transfer events.
 Publication:

Numerical Heat Transfer
 Pub Date:
 September 1981
 Bibcode:
 1981NumHT...4..249L
 Keywords:

 Aerothermodynamics;
 Cavitation Flow;
 Computational Fluid Dynamics;
 Laminar Flow;
 Two Dimensional Flow;
 Unsteady Flow;
 Air Flow;
 Boundary Value Problems;
 Buoyancy;
 Computer Programs;
 Finite Difference Theory;
 Flow Velocity;
 Grashof Number;
 Heat Transfer;
 Interpolation;
 Partial Differential Equations;
 Recirculative Fluid Flow;
 Temperature Profiles;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer