Rehman M Israr Ur, Chen Haibo, Hamid Aamir, Qayyum Sajid, Jamshed Wasim, Raizah Zehba, Eid Mohamed R, Din El Sayed M Tag El
School of Mathematics and Statistics, Central South University, Changsha, 410083, China.
Department of Mathematics, Women University of Azad Jammu and Kashmir, Bagh, 12500, Azad Kashmir, Pakistan.
Sci Rep. 2022 Nov 4;12(1):18666. doi: 10.1038/s41598-022-23563-5.
The main feature of the current investigation is to analyze the magnetohydrodynamic mixed convection flow of Cross fluid. Flow is due to a movable thin needle with Soret and Dufour effect. Heat generation/absorption and nonlinear heat radiation are used in the energy equation. Characteristics of the chemical reaction and thermal activation are given special attention. Appropriate variables are introduced for the transformation of partial differential equations to ordinary differential equations. With the assistance of Runge-Kutta Fehlberg's fourth- fifth-order method with the shooting technique, we determined the prominent result numerically. The prominent examined parameters range is velocity and temperature ratios, heat generation, Dufour, Hartmann, Schmidt numbers ([Formula: see text]), needle thickness ([Formula: see text]), radiative parameter ([Formula: see text]), and Weissenberg number ([Formula: see text]), respectively. Graphs for velocity, thermal, concentration, Skin friction coefficient, and heat and mass transport rates are displayed and analyzed for physical parameters. A similar observation of mixed convection and needle thickness parameter is seen on the velocity field. Temperature and heat transfer rate are reverse behavior in the frame of the Dufour effect. Moreover, an enhancement in chemical reaction shows decay to the concentration field.
当前研究的主要特点是分析Cross流体的磁流体动力学混合对流流动。流动是由具有索雷特和杜福尔效应的可移动细针引起的。能量方程中考虑了热生成/吸收和非线性热辐射。特别关注化学反应和热活化的特性。引入适当的变量将偏微分方程转化为常微分方程。借助龙格 - 库塔 - 费尔贝格四 - 五阶方法和打靶技术，我们通过数值方法确定了显著结果。所研究的显著参数范围分别是速度和温度比、热生成、杜福尔数、哈特曼数、施密特数（[公式：见原文]）、针厚度（[公式：见原文]）、辐射参数（[公式：见原文]）和魏森贝格数（[公式：见原文]）。展示并分析了速度、热、浓度、表面摩擦系数以及热质传输速率关于物理参数的图表。在速度场上观察到混合对流和针厚度参数有类似的情况。在杜福尔效应的框架下，温度和热传递速率表现出相反的行为。此外，化学反应的增强会导致浓度场的衰减。
