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首页> 外文期刊>International Journal of Heat and Mass Transfer >Effect of polymer additives and viscous dissipation on natural convection in a square cavity with differentially heated side walls
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Effect of polymer additives and viscous dissipation on natural convection in a square cavity with differentially heated side walls

机译：聚合物添加剂和粘性耗散对具有差压侧壁平方腔自然对流的影响

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摘要

This study presents an extensive numerical investigation on how the addition of polymer molecules into a Newtonian solvent would tend to influence the natural convection heat transfer phenomena in a differentially heated square cavity. The Theological behaviour of the resulting polymer solution is modelled based on the FENE-P viscoelastic constitutive equation, which along with other governing equations, namely, mass, momentum, and energy equations, have been solved using the open source CFD code OpenFOAM over the following ranges of conditions: Rayleigh number, 10~3 ≤ Ra ≤ 10~6: Weissenberg number, 1 ≤ Wi ≤ 100; polymer extensibility parameter, 10 ≤ L~2 ≤ 500, polymer viscosity ratio, 0.5 ≤ β ≤ 0.9 and for a fixed value of the Prandtl number of Pr = 7. At low values of the Rayleigh number, the average Nusselt number gradually increases with the Weissenberg number. However, at high values of it, the average Nusselt number first increases steeply up to a critical value of the Weissenberg number, and beyond that, it remains almost constant as the Weissenberg number further increases. The average Nusselt number is seen to decrease with the increasing values of both the polymer extensibility paramter and polymer viscosity ratio. The viscous dissipation tends to deteriorate the heat transfer rate in comparison to that seen in the absence of it; however, the extent of this deterioration is found to be independent on the values of Wi, L~2 and β. Furthermore, a detailed discussion of the results in terms of the streamline profiles, isotherm contours, distribution of local Nusselt number, variation of velocity components, etc., is also presented. Finally, from an application standpoint, a simple correlation for the average Nusselt number is presented, which can be used for the interpolation of the present results for the intermediate values of the governing parameters in a new application.
机译：该研究提出了关于如何将聚合物分子添加到牛顿溶剂中的大量数值研究，倾向于影响差动方形腔中的自然对流传热现象。基于FENE-P粘弹性本构体等式建模所得聚合物溶液的神学行为，即使用开源CFD代码OpenFoam来解决的FENE-P粘弹性本构方程，即，通过以下内容进行了开放的源CFD码OpenFoam已经解决了质量，动量和能量方程。条件范围：瑞利数，10〜3≤RA≤10〜6：Weissenberg号，1≤Wi≤00;聚合物伸展性参数，10≤L〜2≤500，聚合物粘度比，0.5≤β≤0.9，并且对于Prandtl的固定值Pr = 7.在瑞利数的低值下，平均纽带逐渐增加Weissenberg号码。然而，在它的高值下，平均纽带的数量首先增加了Weissenberg数量的临界价值，而且，随着Weissenberg号的进一步增加，它仍然是几乎不变的。观察平均营养数量随着聚合物伸展性参数和聚合物粘度比的增加而降低。粘性耗散与在没有它的情况下看到的相比之下，传热速率趋于恶化;然而，发现这种恶化的程度是独立于Wi，L〜2和β的值。此外，还提出了对流线型曲线，等温轮廓，局部露仓分布，速度分量的变化等的结果的详细讨论。最后，从应用角度来看，呈现了对平均诺斯号码的简单相关性，其可以用于当前结果的内插对新应用中的管理参数的中间值。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2021年第8期|121342.1-121342.15|共15页
  • 作者

    A. Chauhan; P.M. Sahu; C. Sasmal;

  • 作者单位

    Soft Matter Engineering and Microfluidics Lab Department of Chemical Engineering Indian Institute of Technology Ropar Rupnagar India 140001;

    Soft Matter Engineering and Microfluidics Lab Department of Chemical Engineering Indian Institute of Technology Ropar Rupnagar India 140001;

    Soft Matter Engineering and Microfluidics Lab Department of Chemical Engineering Indian Institute of Technology Ropar Rupnagar India 140001;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Viscoelastic; FENE-P; Natural convection; Square cavity;

    机译：粘弹性;FENE-P;自然对流;方腔;

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