K Padmaja, B Rushi Kumar
Department of Mathematics, School of Advanced Sciences, VIT, Vellore, Tamil Nadu 632014 India.
Sci Rep. 2022 Oct 11;12(1):17000. doi: 10.1038/s41598-022-20155-1.
Many fluids used in industries will possess a uniform velocity acting along with it. Although a few researchers have analyzed the fluid flow along with a constant velocity but such modeling in nanofluids is quite new. The novelty of this work is the numerical evaluation of a nanofluid with a constant velocity through a vertical plate in a porous medium under Dufour as well as Soret impacts coupled with a higher order chemical reaction. A rotating MHD nanofluid is investigated for both heat as well as mass transfer. An incompressible, steady-state fluid is subjected to flow through a semi-infinite plate by taking into account viscous dissipation as well as a magnetic field. Flow equations are typically represented by PDEs that are nonlinear and coupled. The PDEs are changed to ODEs by similarity transformation variables. Runge-Kutta method of [Formula: see text] order accuracy along with shooting technique is employed to solve the converted system of ODEs. [Formula: see text] is used to provide an in-depth analysis of the examined problem. In order to account for practical considerations, the maximum order of the chemical reaction is limited to 3 and a comparative analysis is provided for [Formula: see text] and [Formula: see text] order chemical reactions. For different physical quantities, different numerical values that are obtained using MATLAB are used to analyze various properties regarding the flow. Heat transfer, and mass transfer rates are discussed using graphs and tables. Compared to low order chemical reactions, high order chemical reactions allow higher rates at which the reaction takes place, thus allowing greater rates of heat and mass transfer.
许多工业中使用的流体都会伴随着均匀的速度。虽然有一些研究人员分析了具有恒定速度的流体流动,但这种在纳米流体中的建模是相当新的。这项工作的新颖之处在于对纳米流体在多孔介质中通过垂直平板在杜福尔效应以及索雷特效应作用下且伴有高阶化学反应时以恒定速度进行数值评估。研究了旋转磁流体动力学纳米流体的传热和传质情况。考虑粘性耗散和磁场,使一种不可压缩的稳态流体流经一个半无限平板。流动方程通常由非线性且耦合的偏微分方程表示。通过相似变换变量将偏微分方程转换为常微分方程。采用四阶精度的龙格 - 库塔方法结合打靶技术来求解转换后的常微分方程组。用于对所研究的问题进行深入分析。为了考虑实际情况,将化学反应的最高阶数限制为3,并对二阶和三阶化学反应进行了对比分析。对于不同的物理量,使用MATLAB获得的不同数值用于分析流动、传热和传质的各种特性。通过图表讨论了传热和传质速率。与低阶化学反应相比,高阶化学反应允许更高的反应速率,从而允许更高的传热和传质速率。