This study investigates the effect of nonuniform heating and temperature-dependent viscosity on transient free convective flow in a porous material adjacent to a semi-infinite upright plate.Such scenarios are relevant...This study investigates the effect of nonuniform heating and temperature-dependent viscosity on transient free convective flow in a porous material adjacent to a semi-infinite upright plate.Such scenarios are relevant to applications such as the cooling of electronic devices,solar energy systems,and geophysical processes.The governing equations are transformed into dimensionless form and subsequently solved using the CrankNicolson technique.The results reveal that velocity increases with increasing viscosity parameter(ζ=0,2,4)at all cross-sections,while the temperature decreases at x=0.25 and 0.5,but rises at x=0.75,with the maximum free-stream velocity occurring at x=0.75 forζ=2.Additionally,velocity and temperature attain their highest values near the plate,with the boundary layers growing over time.Eventually,both velocity and temperature stabilize,signifying the attainment of a steady-state condition.The local Nusselt number exhibits an increasing trend with increasing Darcy,Prandtl,and Grashof numbers,indicating improved heat transfer,while increasing viscosity contributes to a reduction in local skin friction.Moreover,nonuniform heating leads to the highest temperature at x=0.5,which decreases at x=0.75,and reaches its lowest value at x=0.25.展开更多
文摘This study investigates the effect of nonuniform heating and temperature-dependent viscosity on transient free convective flow in a porous material adjacent to a semi-infinite upright plate.Such scenarios are relevant to applications such as the cooling of electronic devices,solar energy systems,and geophysical processes.The governing equations are transformed into dimensionless form and subsequently solved using the CrankNicolson technique.The results reveal that velocity increases with increasing viscosity parameter(ζ=0,2,4)at all cross-sections,while the temperature decreases at x=0.25 and 0.5,but rises at x=0.75,with the maximum free-stream velocity occurring at x=0.75 forζ=2.Additionally,velocity and temperature attain their highest values near the plate,with the boundary layers growing over time.Eventually,both velocity and temperature stabilize,signifying the attainment of a steady-state condition.The local Nusselt number exhibits an increasing trend with increasing Darcy,Prandtl,and Grashof numbers,indicating improved heat transfer,while increasing viscosity contributes to a reduction in local skin friction.Moreover,nonuniform heating leads to the highest temperature at x=0.5,which decreases at x=0.75,and reaches its lowest value at x=0.25.
