A Differential Quadrature Solution of Natural Convection in an Enclosure with a Partial Partition

Abstract

Natural convection in a partially divided enclosure has been examined numerically using a differential quadrature method. Governing equations for the flow and heat transfer have been constructed by the vorticity-stream function formulation and computational results have been obtained for the Rayleigh numbers, 10 4 , 10 5 , 10 6 , the locations of the partition, 0.2, 0.4, 0.6, 0.8, and the partition ratios, 0.25, 0.50, 0.75, 1.0. The results show that circulation strength, and therefore heat transfer, decreases considerably with increasing partition height especially for the higher values of the Rayleigh number. As the distance of the partition from the hot wall increases, first a decrease and then an increase is observed in the average Nusselt number for the low Rayleigh numbers and first an increase and then a decrease turns out for the high Rayleigh numbers. As for the average Nusselt number on the partition, first it shows a decreasing trend and then an increasing trend as the partition is distanced from the hot wall towards the cold wall. The increase in the partition height brings about significant increase in the average Nusselt number on the partition.

Conductive-convective heat transfer in an inclined enclosure with vertical partition

“…They concluded that the introduction of a complete vertical partition reduces convective heat transfer from 59.1% to 63.6% in the range of Rayleigh numbers 38, 000 < Ra < 369, 000. [6] reported the average Nusselt number increases with decreasing of thermal resistance of the partition and the partition thickness has little effect on heat transfer. [7] studied a vertically divided square enclosure by a solid partition into air and water regions and found that filling of fluid into chests is important for obtaining maximum heat transfer and energy saving.…”

Numerical investigation of temperature distribution on a tunnel boring machine disc cutter affected by geomechanically and excavation parameters

“…DQM is an effective computational method and rapid convergence solution for nonlinear problems. The mentioned method has a wide range of mechanical, civil and aerospace engineering applications due to its potential for solving nonlinear partial differential equations (Gorji et al, 2017; Kalayci Sahinoglu and Ozer, 2020; Malekzadeh et al, 2006; Nowamooz et al, 2015; Öztuna, 2007; Tornabene et al, 2015; Trinh et al, 2021; Wang et al, 2021). The DQM approximates the derivative of a function at each grid point as a weighted linear summation of the function values in the whole discrete domain.…”