The impact of various sizes and positions of the heater in a nanofluid-saturated porous lid-driven chamber with a uniform Lorentz force is studied numerically. In this investigation, three different lengths of heater with higher temperature at six different locations along the left sidewall of the cavity are considered. Lower temperature is maintained at the right sidewall. Further, lower and moving upper horizontal walls and the rest of left wall are supposed to be thermally insulated. Based on the finite volume method, the system of nondimensional governing equations is solved by SIMPLE algorithm. The results conclude that the average Nusselt number is reduced with the enhancement of Richardson and Hartmann numbers. When the heater length is reduced from bottom to top, the heat transfer rate is increased for all the considered Richardson, Darcy and Hartmann numbers. In the lower permeability of the porous medium, the effect of solid volume fraction of nanofluid is more vulnerable. In the case of nanofluid, the steady state is reached quickly than the pure fluid.

中文翻译：

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具有各种热源的多孔室中的纳米流体 MHD 组合对流

数值研究了具有均匀洛伦兹力的纳米流体饱和多孔盖驱动室中加热器的各种尺寸和位置的影响。在这项研究中，我们考虑了在腔体左侧六个不同位置处的三种不同长度的温度较高的加热器。较低的温度保持在右侧壁。此外，下部和移动的上部水平壁以及左侧壁的其余部分应该是隔热的。基于有限体积法，采用SIMPLE算法求解无量纲控制方程组。结果得出结论，随着理查森数和哈特曼数的增加，平均努塞尔数减少。当加热器长度从底部到顶部减小时，所有考虑的理查森的传热率都会增加，达西和哈特曼数。在多孔介质的渗透率较低时，纳米流体的固体体积分数的影响更容易受到影响。在纳米流体的情况下，比纯流体更快地达到稳态。