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包含熵产生的磁流体力学停滞点流动纳米流体的传热传质的数值模拟和数学建模。

Numerical simulation and mathematical modeling for heat and mass transfer in MHD stagnation point flow of nanofluid consisting of entropy generation.

机构信息

Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan.

Department of Computational Sciences, CHRIST University, Bengaluru, 560029, India.

出版信息

Sci Rep. 2023 Apr 19;13(1):6423. doi: 10.1038/s41598-023-33412-8.

Abstract

The primary goal of this article is to explore the radiative stagnation point flow of nanofluid with cross-diffusion and entropy generation across a permeable curved surface. Moreover, the activation energy, Joule heating, slip condition, and viscous dissipation effects have been considered in order to achieve realistic results. The governing equations associated with the modeling of this research have been transformed into ordinary differential equations by utilizing appropriate transformation variable. The resulting system of equations was solved numerically by using Bvp4c built-in package in MATLAB. The impact of involved parameters have been graphically examined for the diverse features of velocity, temperature, and concentration profiles. Throughout the analysis, the volume fraction is assumed to be less than [Formula: see text] while the Prandtl number is set to be [Formula: see text]. In addition, the entropy generation, friction drag, Nusselt, and Sherwood numbers have been plotted for describing the diverse physical aspects of the underlying phenomena. The major outcomes reveal that the curvature parameter reduces the velocity profile and skin friction coefficient whereas the magnetic parameter, temperature difference parameter, and radiation parameter intensify the entropy generation.

摘要

本文的主要目的是探讨具有交叉扩散和熵产生的纳米流体在可渗透曲面上的辐射停滞点流动。此外,为了得到更实际的结果,考虑了激活能、焦耳加热、滑移条件和粘性耗散效应。通过利用适当的变换变量,将与该研究建模相关的控制方程转化为常微分方程。利用 MATLAB 中的 Bvp4c 内置包对得到的方程组进行数值求解。通过图形方式研究了各参数对速度、温度和浓度分布特征的影响。在整个分析过程中,假设体积分数小于[Formula: see text],而普朗特数设置为[Formula: see text]。此外,还绘制了熵产生、摩擦阻力、努塞尔特和舍伍德数,以描述基础现象的不同物理方面。主要结果表明,曲率参数减小了速度分布和摩擦阻力系数,而磁场参数、温度差参数和辐射参数则增强了熵的产生。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2660/10115821/2123882e90a9/41598_2023_33412_Fig1_HTML.jpg

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