Purpose

This paper aims to deal with the heat transmission of Sutterby fluid-containing gyrotactic microorganism by incorporating non-Darcy resistance law. The mathematical modeling is based on nanoparticle concentration, energy, momentum and motile microorganism equations.

Design/methodology/approach

The governing nonlinear coupled equations are first rendered into nonlinear ordinary equations using appropriate transformation and are then solved analytically by using the optimal homotopy.

Findings

Graphical illustration of results depict the behavior of flow involved physical parameters on temperature, gyrotactic microorganism, concentration and velocity. Additionally, local Nusselt number and skin friction coefficient are computed numerically and validated through comparison with existing literature as a special case of proposed model. It is found that the temperature profile decreases by increasing values of Brownian-motion parameter and Prandtl number. An increase in thermophoresis parameter and Schmidt number results in decrease in concentration of nanoparticles. Bioconvection Peclet number corresponds to decreasing behavior of nondimensional gyrotactic microorganism field is observed. Finally, a comparison with the existing literature is made, and an excellent agreement is seen.

Originality/value

To the best of the authors’ knowledge, this study is reported for the first time.

中文翻译：

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含回旋微生物的 Sutterby 纳米流体的 Darcy-Forchheimer 流中的传热

目的

本文旨在通过结合非达西阻力定律来处理含萨特比流体的回旋微生物的传热问题。数学模型基于纳米颗粒浓度、能量、动量和活动微生物方程。

设计/方法/途径

控制非线性耦合方程首先使用适当的变换转化为非线性常方程，然后使用最优同伦分析求解。

发现

结果的图形说明描述了流动行为涉及温度、回旋微生物、浓度和速度等物理参数。此外，局部努塞尔数和表面摩擦系数作为所提出模型的特例，通过与现有文献的比较，通过数值计算和验证。发现温度曲线随着布朗运动参数和普朗特数的增加而减小。热泳参数和施密特数的增加导致纳米粒子浓度的降低。观察到生物对流佩克莱数对应于无量纲回旋微生物场的减少行为。最后，与现有文献进行了比较，结果非常吻合。

原创性/价值

据作者所知，这项研究是首次报道。