Darcy-Benard Convection with Internal Heating and a Thermal Nonequilibrium - A Numerical Study

摘要

The impact of local thermal nonequilibrium (LTNE) in the presence of a uniform internal heating in both the fluid and solid phases of the porous medium on the onset of Darcy-Benard convection is investigated. Emphasis is laid on LTNE effect on the steady-state heat conduction in analyzing the onset criterion. The Galerkin method is used to carry out the parametric study on the instability characteristics of the system by numerically computing the critical stability parameters. The presence of LTNE effect on the steady-state heat conduction is found to advance the onset in comparison with its absence and also to increase the dimension of convection cells. The exiting results are obtained as a particular case from the present study.