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Heat Transfer in Annular Shear-Thinning non-Newtonian Flows Over a Sudden Pipe Expansion

机译:环形剪切稀疏非牛顿的传热在突然的管道膨胀上流动

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Non-isothermal suddenly expanding annular pipe flows of a shear-thinning non-Newtonian fluid are numerically studied within the steady laminar flow regime. The power-law constitutive equation is used to model the shear-thinning rheology of interest. A parametric study is performed to reveal the influence of annular-nozzle-diameter-ratio, k, power-law index, n, and Prandtl numbers over the following range of parameters: k = {0, 0.5}; n = {1, 0.6}; and Pr = {1, 10, 100}. Heat transfer enhancement, i.e., wall heat transfer rates higher than the fully developed ones downstream of the expansion plane, is observed only for Pr = 10 and 100. In the case of Pr = 1, wall heat transfer rates monotonically increase to the fully developed value. Higher Pr, k, and n values, in general, result in more significant heat transfer enhancement downstream of the expansion plane. Further, shear-thinning non-Newtonian flows display two local peak wall heat transfer rates, in comparison with only one peak value in the case of Newtonian flows.
机译:非等温突然扩大的剪切稀疏非牛顿流体的环状管道在稳定的层流状态下进行了数量地研究。电力法本构式方程用于模拟感兴趣的剪切稀释流变学。进行参数研究以揭示环形喷嘴直径比,K,Power-Law指数,N和Prandtl号在以下参数范围内的影响:K = {0,0.5}; n = {1,0.6};和Pr = {1,10,100}。传热增强,即,仅针对Pr = 10和100观察到比膨胀平面下游的完全开发的壁传热速率高的壁传热速率。在Pr = 1的情况下,壁传热速率单调增加到完全开发的价值。通常,PR,K和N值通常导致膨胀平面下游的更大的传热增强。此外,剪切稀疏的非牛顿流动显示两个局部峰壁传热速率,与牛顿流动的情况下只有一个峰值。

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