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Dual solutions for flow and radiative heat transfer of a micropolar fluid over stretching/shrinking sheet

机译:拉伸/收缩片材上微极性流体的流动和辐射热传递的双重解决方案

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摘要

A boundary layer analysis is presented for the flow and radiative heat transfer of an incompressible micropolar fluid over stretching/shrinking sheet with power-law surface velocity and temperature distributions. Dual solutions are analytically obtained firstly by homotopy analysis method (HAM). It is found that dual solutions not only exist for the shrinking flow as reported in the previous literatures, but also exist for the stretching flow. The special case of the first branch (K = 0, classical Newtonian fluid) is compared with the existing numerical results of stretching flow in good agreement. Our results show that both solutions are physically meaningful (two solutions are closely related to each other), unlike the results previously reported that only one solution is acceptable. Moreover, the effects of the material parameter K, the radiative Prandtl number Pr_n, the velocity exponent parameter m and the temperature exponent parameter λ on the flow and heat transfer characteristics are analyzed in detail.
机译:提出了边界层分析方法,用于分析具有幂律表面速度和温度分布的不可压缩微极性流体在拉伸/收缩片材上的流动和辐射热传递。首先通过同型分析方法(HAM)解析地获得对偶溶液。发现既有先前文献报道的收缩流的双重解,也有拉伸流的双重解。将第一个分支的特殊情况(K = 0,经典牛顿流体)与现有的拉伸流数值结果进行了比较,吻合得很好。我们的结果表明,这两种解决方案在物理上都是有意义的(两种解决方案彼此密切相关),与先前报道的结果仅接受一种解决方案不同。此外,详细分析了材料参数K,辐射普朗特数Pr_n,速度指数参数m和温度指数参数λ对流动和传热特性的影响。

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