Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, 11673, Riyadh, Jeddah-M, Kingdom of Saudi Arabia.
Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdul Aziz University, 11991, Wadi ad Dawasir, Al-Kharj, Kingdom of Saudi Arabia.
Sci Rep. 2023 Jul 11;13(1):11240. doi: 10.1038/s41598-023-38260-0.
A stratified flow may be seen regularly in a number of significant industrial operations. For instance, the stratified flow regime is typically used by gas-condensate pipelines. Clearly, only a limited set of working situations for which this flow arrangement is stable allow for the achievement of the stratified two-phase flow zone. In this paper, the authors are considered the laminar, steady and incompressible magnetohydrodynamic flow of a non-Newtonian Casson fluid flow past a stratified extending sheet. The features of bio-convection, Brownian motion, thermal radiation thermophoresis, heat source, and chemically reactive activation energy have been employed. The set of equations administered flow of fluid is converted into ordinary differential equation by suitable variables. A semi-analytical investigation of the present analysis is performed with homotopy analysis method. Endorsement of the current results with previous results is also investigated. The outcomes showed that the velocity distribution of the fluid flow lessens with higher Casson and magnetic factors. The temperature profiles of fluid flow shrinkage as the Prandtl number and Casson factor increase and enlarges with higher values of thermal radiation, magnetic, and Brownian motion factors. It is found that the growing thermophoretic and Brownian motion factors reduce the rate of thermal flow of the Casson fluid flow. In contrast, the increasing thermal stratification parameter increases the thermal flow rate of fluid.
在许多重要的工业操作中，都可以看到分层流。例如，分层流型通常用于含气凝析油管道。显然，只有在这种流动布置稳定的有限工作情况下，才能实现分层两相流区。本文考虑了非牛顿 Casson 流体流过分层扩展板的层流、稳态和不可压缩磁流体动力学流动。考虑了生物对流、布朗运动、热辐射热泳、热源和反应活性激活能的特征。通过适当的变量将管理流体流动的方程组转化为常微分方程。用同伦分析方法对当前分析进行了半解析研究。还研究了与先前结果的一致性。结果表明，随着 Casson 和磁场因子的增加，流体的速度分布减小。随着普朗特数和 Casson 因子的增加，流体的温度分布收缩，而随着热辐射、磁场和布朗运动因子的增加，温度分布增大。发现生长的热泳和布朗运动因子降低了 Casson 流体流动的热流率。相反，增加热分层参数会增加流体的热流率。
