Hamza Muhammed Murtala, Ojemeri Godwin, Ahmad Samaila Kenga-Kwai
Department of Mathematics, Faculty of Physical and Computing Sciences, Usmanu Danfodiyo University, P. M. B. 2346, Sokoto State, Nigeria.
Department of Mathematics, College of Sciences, Federal University of Agriculture, Zuru, P. M. B. 28, Kebbi State, Nigeria.
Heliyon. 2023 Jul 4;9(7):e17628. doi: 10.1016/j.heliyon.2023.e17628. eCollection 2023 Jul.
The focus of this paper is the investigation of an Arrhenius-driven chemical reaction in an upstanding micro-channel over an imposed transverse magnetic field with fully developed constant free convection flow. Subject to suitable boundary conditions, the temperature and velocity equations are resolved in non-dimensional form employing the homotopy perturbation method (HPM). the fundamental flow behaviors of temperature, velocity, and volumetric flow are explored as a consequence of regulating characteristics such as fluid-wall interaction parameter, rarefaction parameter, chemical reaction parameters, wall-ambient temperature difference ratio, and Hartman number. The findings are carefully investigated and graphically represented in several mesh grid graphs. It was established that increasing the values of the rarefaction parameters and chemical reaction results in an upsurge in the fluid velocity and volume flow rate, respectively, whereas increasing the Hartman number results in observable flow retardation. Additionally, when the chemical reactant parameter is ignored, the numerical comparison is in excellent agreement with the previously published results.
本文的重点是研究在具有充分发展的恒定自由对流流动的直立微通道中，在施加的横向磁场作用下由阿累尼乌斯驱动的化学反应。在适当的边界条件下，采用同伦摄动法（HPM）以无量纲形式求解温度和速度方程。通过调节诸如流体 - 壁相互作用参数、稀薄化参数、化学反应参数、壁 - 环境温差比和哈特曼数等特性，探讨了温度、速度和体积流量的基本流动行为。对这些结果进行了仔细研究，并在几个网格图中以图形方式呈现。结果表明，增加稀薄化参数和化学反应的值分别会导致流体速度和体积流量的增加，而增加哈特曼数会导致明显的流动阻滞。此外，当忽略化学反应物参数时，数值比较与先前发表的结果非常吻合。
