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Numerical approach of variable thermophysical features of dissipated viscous nanofluid comprising gyrotactic micro-organisms
Pramana ( IF 2.8 ) Pub Date : 2020-04-20 , DOI: 10.1007/s12043-020-1933-x
Sara I Abdelsalam , M Sohail

This article addresses the heat and mass transport phenomena by performing a theoretical analysis of three-dimensional viscous fluid flow containing gyrotactic micro-organisms over a nonlinear stretched surface. Variable magnetic field is considered normal to the stretched surface to control the fluid flow. Thermal transportation is discussed in view of variable thermal conductivity. Variable characteristics of mass diffusion along with chemical reaction are incorporated in mass transportation. Darcy–Forchheimer expression is used to characterise the porous medium. Also, Brownian motion and thermophoresis are incorporated to enhance the diffusion. The governing partial differential equations (PDEs) are derived using boundary layer analysis by assuming small magnetic Reynolds number. Appropriate transformation is used to convert complex system of coupled PDEs into nonlinear ordinary differential equations (ODEs). Transformed problem is then tackled analytically using optimal homotopic procedure. Reliability of the suggested scheme is presented through error reduction table and also by comparing the obtained solution with the published ones. Graphs and tables are prepared to observe the impact of parameters on physical variables. Dimensionless stresses and rate of heat transfer are computed numerically. It has been observed that larger values of Brownian diffusion and thermophoresis increase the fluid temperature. Moreover, dimensionless stresses and rate of heat transfer are computed to check the reliability of the proposed procedure. These values are clearly in an excellent agreement with the previous findings reported in literature.

中文翻译:

包含回旋微生物的耗散粘性纳米流体可变热物理特征的数值方法

本文通过对非线性拉伸表面上包含回旋微生物的三维粘性流体流动进行理论分析来解决热和质量传输现象。可变磁场被认为垂直于拉伸表面以控制流体流动。考虑到可变的热导率,讨论了热传输。质量扩散和化学反应的可变特性被纳入质量运输。Darcy-Forchheimer 表达式用于表征多孔介质。此外,结合布朗运动和热泳以增强扩散。控制偏微分方程 (PDE) 是通过假设小磁雷诺数使用边界层分析得出的。适当的变换用于将耦合 PDE 的复杂系统转换为非线性常微分方程 (ODE)。然后使用最优同伦程序分析性地解决转换问题。建议方案的可靠性通过错误减少表以及通过将获得的解决方案与已发布的解决方案进行比较来呈现。准备图表和表格来观察参数对物理变量的影响。无量纲应力和传热速率以数字方式计算。已经观察到较大的布朗扩散和热泳值会增加流体温度。此外,计算无量纲应力和传热率以检查所提出程序的可靠性。
更新日期:2020-04-20
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