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Mixed convection and role of multiple solutions in lid-driven trapezoidal enclosures

机译：盖子驱动的梯形外壳中的混合对流和多种解决方案的作用

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This paper analyzes probable steady state flow structures and temperature patterns that may evolve during mixed convection within a lid-driven trapezoidal enclosure with cold top wall and hot bottom wall as the speed of moving lid varies with respect to the intensity of imposed temperature gradients. In this regard, a Grashof (Gr)-Reynolds (Re)-Prandtl (Pr) number formulation has been used to induce varying contributions from moving lid compared to that from imposed thermal gradients, where Grashof number has been varied from 10~3 to 10~5 at Re = 1 and 100 for three different fluids of Pr = 0.015, 0.7 and 10. Simulations have been performed for two different scenarios of isothermal (case 1) and non-isothermal (case 2) bottom wall with inclination angle of the side wall being kept at 45°. It has been found that non-isothermal bottom wall (case 2) leads to multiple steady states in either natural convection dominated regime (Gr/Re~2 ＞＞ 1) or mixed convection regime (Gr/Re~2 ～ O(1)) in convection dominated heat transport regime (Pr × Re approx ＞ 1). Number of steady states are observed to be more in natural convection dominated regime at Re = 1. The flow structures of various steady states are found to be crucial to achieve higher heat transfer rates for non-isothermal bottom wall.
机译：本文分析了在盖驱动的梯形外壳（冷顶壁和热底壁）中混合对流过程中可能发生的稳态稳态流动结构和温度模式，这是由于移动盖的速度相对于施加的温度梯度强度而变化的。在这方面，与施加的热梯度相比，Grashof（Gr）-Reynolds（Re）-Prandtl（Pr）数公式已被用来诱导运动盖的变化贡献，其中，Grashof数从10〜3变化为对于三种不同的Pr = 0.015、0.7和10的流体，在Re = 1和100时为10〜5。已经对等温（情况1）和非等温（情况2）底壁的两种不同情况（倾斜角为）进行了模拟。侧壁保持45°。已经发现，非等温底壁（情况2）在自然对流占优势的状态（Gr / Re〜2 ＞＞ 1）或混合对流状态（Gr / Re〜2〜O（1））下均会导致多个稳态。 ）在对流占主导地位的传热方式（Pr×Re约＞ 1）。在Re = 1时，在自然对流占主导地位的状态下观察到稳态数量更多。发现各种稳态的流动结构对于非等温底壁实现更高的传热速率至关重要。

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