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首页> 外文期刊>International Journal of Heat and Mass Transfer >Transient buoyant convection of a power-law non-Newtonian fluid in an enclosure
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Transient buoyant convection of a power-law non-Newtonian fluid in an enclosure

机译：幂律非牛顿流体在外壳中的瞬态浮力对流

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摘要

Transient buoyant convection in a square enclosure of a non-Newtonian fluid is studied. A simple power-law fluid model, with the power-law index n and the consistency coefficient K, is adopted. Flow is initiated from the motionless isothermal initial state by abruptly raising the temperature at one vertical sidewall and lowering the temperature at the opposite vertical sidewall. The appropriately defined overall Rayleigh number Ra is large to render a boundary layer-type flow. A scale analysis is performed to gain a rudimentary understanding of the evolution process. Principal force balances are considered in each of the transient stages. Comprehensive numerical solutions are acquired to the governing equations. The transient flow and thermal characteristics, both in the boundary layers and in the interior, are portrayed. The effects of Ra and of n on the behavior of the Nusselt number are delineated. The system-wide heat transport at the steady state is calculated. Based on the numerical results, the Nusselt number correlations are proposed. The numerical solutions are in broad qualitative agreement with the descriptions obtainable from the scale analysis.
机译：研究了非牛顿流体方形罩中的瞬时浮力对流。采用具有幂律指数n和一致性系数K的简单幂律流体模型。通过突然升高一个垂直侧壁处的温度并降低相对的垂直侧壁处的温度，从静止的等温初始状态开始流动。适当定义的总体瑞利数Ra很大，以呈现边界层类型的流。进行规模分析以获得对进化过程的基本了解。在每个过渡阶段都要考虑主力平衡。获得了控制方程的综合数值解。描绘了边界层和内部的瞬态流动和热特性。描绘了Ra和n对Nusselt数行为的影响。计算稳态时系统范围内的热传输。基于数值结果，提出了Nusselt数相关性。数值解与定性分析的描述在质量上具有广泛的一致性。

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