RT Journal Article ID 71ca38293a53106c A1 Hassinet, Liamena A1 Si-Ameur, Mohamed T1 NUMERICAL STUDY ON NATURAL CONVECTION IN A POROUS CAVITY THAT IS PARTIALLY HEATED AND COOLED BY SINUSOIDAL TEMPERATURE AT VERTICAL WALLS JF Journal of Porous Media JO JPM YR 2019 FD 2019-02-06 VO 22 IS 1 SP 73 OP 85 K1 natural convection K1 porous medium K1 partial heating K1 cooling K1 sinusoidal temperature profiles AB We numerically study unsteady natural convection flow in a cavity filled with porous media in two dimensions using a Brinkman–extended Darcy model. The cavity is heated at the lower half of the left vertical wall and cooled at the upper half of the right vertical wall by sinusoidal varying-temperature profiles, with amplitudes for heating λH and for cooling λC. Horizontal and remaining walls are insulated. We use the finite-control volume method to numerically solve governing conservative equations of mass, momentum, and energy. The problem is analyzed for different values of Rayleigh number Ra in the range 103 ≤ Ra ≤ 106, aspect ratio parameter Ar in the range 1 ≤ Ar ≤ 4, and sinusoidal temperature function in ranges 0.25 ≤ λH ≤ 1.0 and 0 ≤ λC ≤ 1.0. Numerical results show that heat transfer is mainly due to conduction at low Ra ≤ 104. The conduction heat-transfer regime is also indicated for low λH and λC ≤ 0.5. Conduction decreases with increasing λH and λC, and convection gradually becomes dominant with increasing Ra and decreasing Ar. Heat transfer increases with increasing Ra, λH, λC, and Ar = 2, when the convection regime is dominant. PB Begell House LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,0248bc2a2f5b1b3a,71ca38293a53106c.html