Variable mass and thermal properties in three-dimensional viscous flow: Application of Darcy law

Abstract

This article concentrates on the properties of three-dimensional magneto-hydrodynamic flow of a viscous fluid saturated with Darcy porous medium deformed by a nonlinear variable thickened surface. Analysis of flow is disclosed in the neighborhood of stagnation point. Features of heat transport are characterized with Newtonian heating and variable thermal conductivity. Mass transport is carried out with first order chemical reaction and variable mass diffusivity. Resulting governing equations are transformed by implementation of appropriate transformations. Analytical convergent series solutions are computed via homotopic technique. Physical aspects of numerous parameters are discussed through graphical data. Drag force coefficient, Sherwood and Nusselt numbers are illustrated through graphs corresponding to various pertinent parameters. Graphical discussion reveals that conjugate and constructive chemical reaction parameters enhance the temperature and concentration distributions, respectively.

摘要

应用非线性增厚表面的 Darcy 多孔介质变形, 对饱和三维黏性磁流体的动力学特性进行了研究, 对驻点附近的流动进行了分析。应用牛顿加热和可变导热系数表征了热传输特性。并采用一阶化学反应和变质量扩散率进行质量输运。通过适当的变换, 将得到的控制方程进行转换(实现控制方程的转换)。用同伦技术计算了解析收敛级数解。根据图形数据讨论了参数的物理性质。用图示对阻力系数、 Sherwood 数和 Nusselt 数等相关参数进行说明。结果表明, 共轭和构造的化学反应参数增强了温度和浓度的分布。