Numerical Analysis of Natural Convection in a Concentric Trapezoidal Enclosure Filled with a Porous Medium

Numerical study of natural convection around a heated trapezoidal block different sizes located centrically in larger trapezium has been investigated. The annulus between the trapeziums is filled with porous media. sides inner are to fixed temperature (T_h), and slanted walls outer adiabatic while its upper lower temperatures 〖T_c+(T_h-T_c)sin〗⁡(πx⁄L) 〖T_h+(T_h-T_c)sin〗⁡(πx⁄L) respectively. finite element numerical approach was used solve relevant dimensionless equations. Results gotten for salient parameters including; modified Rayleigh number (10≤Ra_m≤ 1000), Darcy (10^(-5)≤Da≤ 10^(-2)), area ratio (1/5≤AR≤ 1/3). results this shown as isothermal contours, stream functions, average Nusselt number. show that increasing Ra_m improves heat transfer; however, response thermal characteristics AR increment depends on range considered. from find application ingot treatments microchannel cooling among others.