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具有能量和质量传递的三维达西-福希海默流体在不规则渗透表面上流动的数值模拟。

Numerical simulation of 3D Darcy-Forchheimer fluid flow with the energy and mass transfer over an irregular permeable surface.

作者信息

Algehyne Ebrahem A, Alrihieli Haifaa F, Saeed Anwar, Alduais Fuad S, Hayat Asif Ullah, Kumam Poom

机构信息

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

Nanotechnology Research Unit (NRU), University of Tabuk, Tabuk, 71491, Saudi Arabia.

出版信息

Sci Rep. 2022 Aug 26;12(1):14629. doi: 10.1038/s41598-022-18304-7.

DOI:10.1038/s41598-022-18304-7
PMID:36028555
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9418175/
Abstract

The Jeffrey fluid model is capable of accurately characterizing the stress relaxation behavior of non-Newtonian fluids, which a normal viscous fluid model is unable to perform. The primary objective of this paper is to provide a comprehensive investigation into the effects of MHD and thermal radiation on the 3D Jeffery fluid flow over a permeable irregular stretching surface. The consequences of the Darcy effect, variable thickness and chemical reaction are also considered. The phenomena have been modeled as a nonlinear system of PDEs. Using similarity substitution, the modeled equations are reduced to a dimensionless system of ODEs. The parametric continuation method (PCM) is used to determine the numerical solution to the obtained sets of nonlinear differential equations. The impact of physical parameters on temperature, velocity and mass profiles are presented through Figures and Tables. It has been noticed that the energy profile magnifies with the increment of porosity term, thermal radiation and heat source term, while diminishing with the flourishing upshot of power index and Deborah number. Furthermore, the porosity term and wall thickness parameter enhance the skin friction.

摘要

杰弗里流体模型能够准确地表征非牛顿流体的应力松弛行为,而普通粘性流体模型则无法做到这一点。本文的主要目的是全面研究磁流体动力学(MHD)和热辐射对可渗透不规则拉伸表面上三维杰弗里流体流动的影响。还考虑了达西效应、可变厚度和化学反应的影响。这些现象已被建模为一个非线性偏微分方程组。通过相似变换,将建模方程简化为一个无量纲常微分方程组。使用参数连续法(PCM)来确定所得非线性微分方程组的数值解。通过图表展示了物理参数对温度、速度和质量分布的影响。已经注意到,能量分布随着孔隙率项、热辐射和热源项的增加而增大,而随着幂指数和德博拉数的增加而减小。此外,孔隙率项和壁厚参数会增加表面摩擦力。

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