Natural convection with volumetric energy sources in a fluid bounded by a spherical segment
Abstract
Natural convection in a heatgenerating fluid layer bounded from below by a segment of a sphere and from above by a horizontal surface has been investigated via finitedifference solution of the governing partial differential equations. The effects of both cavity geometry and the thermal boundary conditions on the temperature and flow fields are found to be significant in both developing and steady convection. Steadystate heat transfer coefficients are obtained at the upper boundary and can be correlated in the form Nu = Constant x Ra to the m despite the strong influence of conduction at the edge of the system. Steadystate convection is dominated by a single cell under the assumption of an axisymmetric flow but does not exhibit a truly steady temperature and flow fields.
 Publication:

Heat Transfer 1982, Volume 2
 Pub Date:
 1982
 Bibcode:
 1982hetr....2..165M
 Keywords:

 Boundary Value Problems;
 Convective Heat Transfer;
 Fluid Filled Shells;
 Free Convection;
 Laminar Heat Transfer;
 Spherical Shells;
 Boundary Conditions;
 Conductive Heat Transfer;
 Finite Difference Theory;
 Heat Transfer Coefficients;
 Partial Differential Equations;
 Fluid Mechanics and Heat Transfer