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Stability and Nusselt number scaling for inclined differentially heated cavity flow

机译:倾斜差热腔流动的稳定性和Nusselt数标度

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The flow within inclined differentially side heated square cavities is investigated with two-dimensional numerical simulations. The cavity is inclined such that the heated wall is below the cooled wall. The angle of inclination is varied from θ = 0°, which produces the standard differentially heated cavity flow, up to 90° where Rayleigh Bernard flow exists. The variation in flow structure, flow stability and heat transfer is presented with angle of inclination and the Rayleigh number. Results have been obtained over Ra = 10~4-10~8 with Pr = 7. It is shown that when the cavity is inclined the flow structure is changed with attached jet/plumes forming adjacent to the adiabatic walls, rather than diffuse intrusions as for the non-inclined side heated cavity. At a specific angle of inclination, the flow undergoes a bifurcation so that the fully developed flow is unsteady and single mode, with a further increase in inclination leading to multi-modal flow. The critical transition angle is shown to vary inversely with the Rayleigh number. A scaling relationship for the Nusselt number is proposed which approximates the effect of cavity inclination on total heat transfer.
机译:用二维数值模拟研究了倾斜的差动侧加热方腔内的流动。腔倾斜使得加热的壁在冷却的壁下方。倾斜角从θ= 0°变化,从而产生标准的差热腔流,直到存在瑞利·伯纳德流的90°。用倾角和瑞利数表示了流动结构,流动稳定性和传热的变化。在Ra = 10〜4-10〜8且Pr = 7的情况下获得了结果。结果表明,当空腔倾斜时,流动结构发生了变化,附着的射流/羽流形成在绝热壁附近,而不是扩散侵入。用于非倾斜的侧面加热腔。在特定的倾斜角度下,流体会发生分叉,从而使完全展开的流体不稳定且处于单模态,进一步增加倾斜度会导致多模态流体。临界过渡角显示为与瑞利数成反比。提出了Nusselt数的比例关系,该关系近似于空腔倾角对总传热的影响。

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