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Double diffusive natural convection in a porous rhombic annulus

机译:多孔菱形环带中的双扩散自然对流

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This article reports on an investigation performed to study laminar steady state double diffusive natural convection in a two-dimensional porous enclosure of rhombic cross-section. Solutions are obtained numerically using a finite volume method for the case when the inner wall is uniformly heated to a temperature T_h while subjected to a high solute concentration S _h, and the outer wall is evenly cooled to a temperature T_c while exposed to a low solute concentration S_c. Simulations are conducted for several values of Rayleigh number (Ra), Darcy number (Da), Prandtl number (Pr), porosity (ε), and enclosure gap (E_g) for fixed values of Lewis number (Le = 10) and buoyancy ratio (N = 10). The results are displayed in terms of streamlines, isotherms, isoconcentrations, mid-height velocity, temperature, concentration profiles, and local and average Nusselt and Sherwood number values. Predictions indicate that for the Lewis number and buoyancy ratio considered, the flow field is more affected by mass transfer than by heat transfer. Moreover, convection effects increase with an increase in Ra, Da, E_g, and/or ε. The porosity of the porous matrix has no effect on the flow, temperature, and concentration fields at low values of Darcy number. Furthermore, the total heat and mass transfer increases as Pr increases and/or as the enclosure gap decreases due to an increase in the wall area over which heat and mass transfer occur. Values of and indicate dominant diffusion at low Ra number values with convection affecting the total heat and mass transfer at high Ra values.
机译:本文报道了一项研究,以研究菱形横截面的二维多孔罩中的层流稳态双扩散自然对流。当内壁在高溶质浓度S _h下均匀加热到温度T_h,而外壁暴露在低溶质下均匀冷却到温度T_c时,使用有限体积法从数值上获得解。浓度S_c。针对固定的路易斯数(Le = 10)和浮力比的瑞利数(Ra),达西数(Da),普朗特数(Pr),孔隙率(ε)和围护间隙(E_g)的多个值进行仿真(N = 10)。结果以流线,等温线,等浓度,中等高度速度,温度,浓度曲线以及局部和平均Nusselt和Sherwood值显示。预测表明,对于所考虑的Lewis数和浮力比,流场受传质的影响大于传热的影响。此外,对流效应随Ra,Da,E_g和/或ε的增加而增加。在低达西值下,多孔基质的孔隙率对流动,温度和浓度场没有影响。此外,由于发生热和质量传递的壁面积的增加,总的热和质量传递随着Pr的增加和/或随着外壳间隙的减小而增加。和的值表示低Ra值时的主要扩散,而对流影响高Ra值时的总传热和传质。

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