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Buoyancy induced convection in a porous cavity with sinusoidally and partially thermally active sidewalls under local thermal non-equilibrium condition

机译:在局部热非平衡条件下,在具有正弦和部分热活性侧壁的多孔腔中,浮力引起的对流

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摘要

Steady non-Darcy natural convection in a porous cavity with non-uniform thermal boundary condition is studied numerically by adopting the local thermal non-equilibrium (LTNE) model in this paper. The top and bottom walls of the cavity are adiabatic. The left vertical wall is partially heated and cooled by sinusoidal temperature profile and the right side wall of the cavity is partially cooled by uniform thermal boundary condition. The results show that the oscillation amplitude of the local Nusselt number profiles (Nu_(fy), Nu_(sy)) along the Y coordinate decreases with the increase of H. The difference of the local Nusselt numbers between different cases of partial cooling (case A-case D) can be reduced by increasing of N. The difference of solid-to-fluid temperature differences between different cases of partial cooling can be reduced by increasing of H and γ. Positive values of the average Nusselt number appear at the left side wall of the porous cavity, which indicates that there exists heat transfer along the positive direction of the X axis in the porous cavity. Compared with the left wall of the cavity, it is faster for the right wall to reach the thermal equilibrium state, which approaches a constant value for low values of H (H = 3000).
机译:本文采用局部热非平衡(LTNE)模型,对具有非均匀热边界条件的多孔腔内的稳态非达西自然对流进行了数值研究。空腔的顶壁和底壁是绝热的。左垂直壁通过正弦温度曲线进行部分加热和冷却,空腔的右侧壁通过均匀的热边界条件进行部分冷却。结果表明,随着H的增大,局部Nusselt数轮廓(Nu_(fy),Nu_(sy))沿Y坐标的振荡幅度减小。可以通过增加N来减少D)情况。通过增加H和γ可以减少部分局部冷却的不同情况之间的固液温度差。平均努塞尔数的正值出现在多孔腔的左侧壁,这表明在多孔腔中存在沿X轴正方向的传热。与空腔的左壁相比,右壁达到热平衡状态的速度更快,对于低H值,该热平衡状态接近恒定值(H = 3000)。

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