Abstract This paper deals with thermosolutal convection in an inclined enclosure inserted with heat-generating porous blocks under the influence of magnetic field. The general Brinkman-extended Darcy model is adopted to formulate the fluid flow in the enclosure. An extensive series of numerical simulations is investigated in the range of parameters 0 ≤ Ha ≤ 150, 103 ≤ Ra ≤ 107, −10.0 ≤ N ≤ 10.0, 10−9 ≤ Da ≤ 10−1, 0.1 ≤ Kr ≤ 10 and −90° ≤ Φ ≤ 90°. Streamline, isotherms, isoconcentrations and masslines are produced to illustrate the fluid, heat and moisture flow structures. It is founded that overall Nusselt number is an increasing function of Ra, N, Da and Kr in the vertical enclosure, while decreasing with Ha. The permeability and thermal conductivity of porous blocks have no significant effect on moisture transfer rate. The Nusselt and Sherwood curves for different inclination angle are presented to be parabolic, and the maximum are near at Ф = −10° and 30°, respectively. In addition, correlations of the overall Nusselt and Sherwood numbers depending on thermal Rayleigh number, buoyancy ratio, Hartmann number and inclination angle have been obtained, which are beneficial to determine heat and moisture transfer rates in electrical devices.

中文翻译：

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来自插入多个发热电子模块的倾斜外壳的水磁双扩散湿气对流

摘要 本文研究了在磁场影响下插入有发热多孔块的倾斜外壳中的热溶对流。采用通用的 Brinkman-extended Darcy 模型来表述外壳中的流体流动。在参数 0 ≤ Ha ≤ 150、103 ≤ Ra ≤ 107、−10.0 ≤ N ≤ 10.0、10−9 ≤ Da ≤ 10−1、0.1 ≤ Kr ≤ 10 和 −90 的范围内，研究了一系列广泛的数值模拟°≤Φ≤90°。生成流线、等温线、等浓度线和质量线以说明流体、热量和水分流动结构。发现总体努塞尔数是垂直围护结构中 Ra、N、Da 和 Kr 的递增函数，而随 Ha 递减。多孔块体的渗透性和导热性对水分传递速率没有显着影响。不同倾角下的 Nusselt 曲线和 Sherwood 曲线呈抛物线状，最大值分别在 Ф = -10° 和 30° 附近。此外，还获得了取决于热瑞利数、浮力比、哈特曼数和倾角的整体 Nusselt 和 Sherwood 数的相关性，这有利于确定电气设备中的热量和水分传递速率。