Reddy B Prabhakar, Felician Alijen, Matao P M
Department of Mathematics and Statistics, The University of Dodoma, P. O. Box 338, Dodoma, Tanzania.
Heliyon. 2024 Jan 8;10(2):e24150. doi: 10.1016/j.heliyon.2024.e24150. eCollection 2024 Jan 30.
The finite element simulations of the Soret-Dufour and angled magnetic field effects on conjugate heat and mass transportation of unsteady heat absorbing hydromagnetic Casson flow across a semi-infinite flat oscillatory plate engrafted in a porous medium with suction/blowing, radiation and chemical reaction is performed. The dimensionless coupled flow guiding nonlinear PDEs of the physical structure is handled numerically by the dynamic Galerkin finite element scheme. The demeanor of the velocity, concentration and the temperature profiles due to the alterations in the regulating flow parameters are examined graphically whereas the wall-friction, mass and heat transfer rates explicated by utilizing the tabular data. The research discovered that radiation; conjugate heat transfer and diffusion thermo effects heighten the temperature and velocity distributions whereas heat absorption has a reverse effect. Likewise, conjugate mass transfer and thermo-diffusion effects intensify the concentration and velocity distributions whereas the chemical reaction display overturns aspect. Increased radiation absorption, inclined magnetic field and porosity parameter stimulate fluid velocity whereas the Casson and magnetic parameters exhibit the converse impact. In the instance of suction, the profiles of concentration, velocity and temperature displayed a downturn nature but for the case of blowing, it was noticed a reversal trend. Further, a comparative analysis between the current findings and existing research works in the literature demonstrates our results are exact and accurate.
对索雷特-杜福尔效应和倾斜磁场对非稳态吸热磁流体动力学卡森流在嵌入有抽吸/吹气、辐射和化学反应的多孔介质中的半无限平板振荡板上共轭传热传质的影响进行了有限元模拟。通过动态伽辽金有限元格式对物理结构的无量纲耦合流动导向非线性偏微分方程进行了数值处理。通过图形研究了由于调节流动参数的变化而导致的速度、浓度和温度分布的变化趋势,同时利用表格数据阐述了壁面摩擦、传质和传热速率。研究发现,辐射、共轭传热和扩散热效应提高了温度和速度分布,而热吸收则有相反的效果。同样,共轭传质和热扩散效应增强了浓度和速度分布,而化学反应则呈现相反的趋势。增加辐射吸收、倾斜磁场和孔隙率参数会刺激流体速度,而卡森参数和磁场参数则呈现相反的影响。在抽吸情况下,浓度、速度和温度分布呈现下降趋势,但在吹气情况下,观察到相反的趋势。此外,将当前研究结果与文献中现有研究工作进行的对比分析表明,我们的结果是准确无误的。