Purpose

The current mathematical model is developed to scrutinize the consequence of bioconvective cross diffusion flow of magnetized viscous nanofluid past multiple geometries (cone, wedge and plate) with convective boundary conditions. Together the nanoparticles and motile microorganism are incorporated into the dimensionless nonlinear differential expressions. The behavior of Cattaneo-Christov heat and mass flux is accounted for energy and concentration expressions. The influence of activation energy and thermal radiation are considered. The mathematical model is reduced into an ordinary one by using adequate similarity transformation. Buongiorno model is utilized for nanofluid (nanoliquids) analysis.

Methodology/approach

The renovated dimensionless self-similarity systems are then solved numerically by utilizing shooting technique built-in function bvp4c solver with the help of commercial software Matlab. The obtained results are verified and an outstanding agreement has been found. Engineering quantities of interest are observed physically.

Findings

The features of various emerging parameters against velocity distribution, thermal distribution, and solutal field of species, microorganism concentration as well as skin friction coefficient, gradient of temperature, local Sherwood number and density number of motile microorganisms are interpreted and deliberated in tabulated and graphical form.

Results

The results indicate that velocity field is raises via larger Grashof number. The resultant velocity is decline via larger magnetic parameter. Larger estimation of thermal Biot number increases the heat transfer. Larger thermal relaxation parameter reduces the temperature of fluid. The concentration of nanoparticles is declines via concentration relaxation parameter. The microorganism's field is declines by varying the variations of Peclet number.

中文翻译：

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Cattaneo-Christov在生物流体中具有生物对流的双重扩散理论，以提高纳米粒子扩散的效率

目的

开发当前的数学模型，以研究经过对流边界条件的，经过多个几何形状（圆锥形，楔形和平板形）的磁化粘性纳米流体的生物对流交叉扩散流的结果。纳米粒子和运动微生物一起被整合到无量纲的非线性微分表达式中。Cattaneo-Christov热和质量通量的行为解释了能量和浓度表达式。考虑活化能和热辐射的影响。通过使用足够的相似度转换，数学模型可以简化为普通模型。Buongiorno模型用于纳米流体（纳米液体）分析。

方法/方法

然后在商业软件Matlab的帮助下，利用射击技术内置的功能bvp4c求解器，对更新后的无量纲自相似系统进行数值求解。验证所获得的结果，并找到了一个出色的协议。实际观察到感兴趣的工程量。

发现

以表格和图表的形式解释和讨论了各种新兴参数对物种的速度分布，热分布和物种的溶解场，微生物浓度以及皮肤摩擦系数，温度梯度，局部舍伍德数和运动菌密度的影响。 。

结果

结果表明，速度场通过更大的Grashof数增加。合成速度随着较大的磁参数而下降。更大的热比奥数估算值会增加热传递。较大的热松弛参数会降低流体的温度。纳米粒子的浓度通过浓度松弛参数而下降。通过改变Peclet数的变化，微生物的田地正在减少。