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布朗运动和热泳效应对考虑滑移条件和多孔旋转盘焦耳耗散的 MHD 三维纳米流体流动的影响。

Brownian Motion and Thermophoresis Effects on MHD Three Dimensional Nanofluid Flow with Slip Conditions and Joule Dissipation Due to Porous Rotating Disk.

机构信息

College of Science Department of Mathematics Northern Border University, Arar 73222, Saudi Arabia.

Center of Excellence in Theoretical and Computational Science (TaCS-CoE), SCL 802 Fixed Point Laboratory, Science Laboratory Building, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.

出版信息

Molecules. 2020 Feb 7;25(3):729. doi: 10.3390/molecules25030729.

Abstract

This paper examines the time independent and incompressible flow of magnetohydrodynamic (MHD) nanofluid through a porous rotating disc with velocity slip conditions. The mass and heat transmission with viscous dissipation is scrutinized. The proposed partial differential equations (PDEs) are converted to ordinary differential equation (ODEs) by mean of similarity variables. Analytical and numerical approaches are applied to examine the modeled problem and compared each other, which verify the validation of both approaches. The variation in the nanofluid flow due to physical parameters is revealed through graphs. It is witnessed that the fluid velocities decrease with the escalation in magnetic, velocity slip, and porosity parameters. The fluid temperature escalates with heightening in the Prandtl number, while other parameters have opposite impacts. The fluid concentration augments with the intensification in the thermophoresis parameter. The validity of the proposed model is presented through Tables.

摘要

本文研究了不可压磁流体(MHD)纳米流体在具有速度滑移条件的多孔旋转盘内的无时间依赖流动。研究了粘性耗散的质量和热传递。通过相似变量将所提出的偏微分方程(PDE)转换为常微分方程(ODE)。应用解析和数值方法来研究所建模型的问题,并相互比较,这验证了两种方法的有效性。通过图形揭示了物理参数对纳米流体流动的影响。结果表明,随着磁场、速度滑移和多孔性参数的增加,流体速度会降低。随着普朗特数的增加,流体温度会升高,而其他参数则会产生相反的影响。随着热泳参数的增强,流体浓度会增加。通过表格呈现了所提出模型的有效性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/309c/7038164/e0d2dd536a47/molecules-25-00729-g001.jpg

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