Thermoconvective motion of low Prandtl number fluids within a horizontal cylindrical annulus
Abstract
Steady natural convection in very low Prandtl number fluids is investigated using a double perturbation expansion in powers of the Grashof and Prandtl numbers. The fluid is contained in a horizontal cylindrical annulus, the walls of which either are held at constant temperature or support a constant heat flux. In both cases the evolution of the flow for increasing Grashof number is of interest. It is found that the basic flow pattern consists of one eddy. For both boundary conditions the center of this eddy falls into the lower half of the annulus as the Grashof number increases. Such behavior is directly opposite to experimental results obtained in fluids of higher Prandt number.
 Publication:

ASME Journal of Heat Transfer
 Pub Date:
 November 1977
 Bibcode:
 1977ATJHT..99..596C
 Keywords:

 Annular Flow;
 Convective Heat Transfer;
 Free Convection;
 Steady Flow;
 Flow Geometry;
 Grashof Number;
 Perturbation Theory;
 Prandtl Number;
 Vortices;
 Fluid Mechanics and Heat Transfer