Numerical study on buoyant convection and thermal radiation in a cavity with various thermal sources and Cattaneo-Christov heat flux

Abstract

The rate of change of thermal and flow transfer inside an enclosed box under the effect of thermal radiation and convective flow driven by buoyancy force with discrete heating and cooling is analyzed here. The “Cattaneo-Christov heat flux’ (CCHF) pattern is implemented in thermal energy model. The study is performed by varying the partial thermal sources namely the heater and cooler along the sidewalls of the region in three different positions: bottom, center and top. The inactive parts of the box, namely vertical sidewalls and the horizontal flat walls are maintained adiabatic. Numerical computations to examine the distinctiveness of liquid flow & heat transport are calculated by method of finite volume. The solutions are displayed as graphs. Thermal radiation effects inside the cavity illustrate a drift from linear to nonlinear increase in rate of change of heat. This is observed when the Grashof value is altered from 103 to 106. The results obtained show that middle-middle location of the partial heater/cooler in the cavity produce enhanced heat transfer rate and top-bottom position showed low rate of heat transfer.

Keywords

• Natural convection
• Partial heating
• Cavity
• Thermal radiation
• Cattaneo-christov heat flux