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关于三阶微极流体在指数拉伸表面上的热传递研究

Insight into the heat transfer of third-grade micropolar fluid over an exponentially stretched surface.

作者信息

Guedri Kamel, Ameer Ahammad N, Nadeem Sohail, Tag-ElDin ElSayed M, Awan Aziz Ullah, Yassen Mansour F

机构信息

Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah, 21955, Saudi Arabia.

Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk, 71491, Saudi Arabia.

出版信息

Sci Rep. 2022 Sep 16;12(1):15577. doi: 10.1038/s41598-022-19124-5.

DOI:10.1038/s41598-022-19124-5
PMID:36114201
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9481647/
Abstract

Due to their unique microstructures, micropolar fluids have attracted enormous attention for their industrial applications, including convective heat and mass transfer polymer production and rigid and random cooling particles of metallic sheets. The thermodynamical demonstration is an integral asset for anticipating the ideal softening of heat transfer. This is because there is a decent connection between mathematical and scientific heat transfers through thermodynamic anticipated outcomes. A model is developed under the micropolar stream of a non-Newtonian (3rd grade) liquid in light of specific presumptions. Such a model is dealt with by summoning likeness answers for administering conditions. The acquired arrangement of nonlinear conditions is mathematically settled using the fourth-fifth order Runge-Kutta-Fehlberg strategy. The outcomes of recognized boundaries on liquid streams are investigated in subtleties through the sketched realistic images. Actual amounts like Nusselt number, Sherwood number, and skin-part coefficient are explored mathematically by tables. It is observed that the velocity distribution boosts for larger values of any of [Formula: see text], [Formula: see text], and declines for larger [Formula: see text] and Hartmann numbers. Furthermore, the temperature distribution [Formula: see text] shows direct behavior with the radiation parameter and Eckert number, while, opposite behavior with Pr, and K. Moreover, the concentration distribution shows diminishing behavior as we put the higher value of the Brownian motion number.

摘要

由于其独特的微观结构,微极流体因其在工业应用中的广泛应用而备受关注,包括对流热质传递、聚合物生产以及金属板材的刚性和随机冷却颗粒。热力学论证是预测传热理想软化的一项不可或缺的资产。这是因为通过热力学预期结果,数学传热与科学传热之间存在良好的联系。基于特定假设,在非牛顿(三级)液体的微极流条件下建立了一个模型。通过调用相似解来处理控制方程,从而求解该模型。使用四阶-五阶龙格-库塔-费尔贝格方法对所得到的非线性方程组进行数值求解。通过绘制的图像详细研究了识别边界对液流的影响。通过表格从数学上探讨了诸如努塞尔数、舍伍德数和表面摩擦系数等实际量。可以观察到,对于[公式:见原文]、[公式:见原文]中任何一个的较大值,速度分布会增大,而对于较大的[公式:见原文]和哈特曼数,速度分布会减小。此外,温度分布[公式:见原文]与辐射参数和埃克特数呈正比关系,而与普朗特数和[公式:见原文]呈反比关系。而且,随着布朗运动数取值的增大,浓度分布呈现出减小的趋势。

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