Department of Mathematics and Statistics, The University of Lahore, 1-km Defence Road, Lahore 54000, Pakistan.
Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, PO Box 84428, Riyadh, 11671, Saudi Arabia.
Nanotechnology. 2023 Jun 6;34(34). doi: 10.1088/1361-6528/acd6a4.
The purpose of the current work is to determine how a magnetic field, nonlinear thermal radiation, a heat source or sink, a Soret, and activation energy affect bio-convective nanofluid flow across a Riga plate in terms of heat transfer qualities. The major goal of this investigation is to enhance the heat transfer rate. The flow problem is demonstrated in the form of a collection of PDEs. Since the generated governing differential equations are nonlinear, we use a suitable similarity transformation to change them from partial to ODEs. The bvp4c package in MATLAB is used to numerically solve the streamlined mathematical framework. The impacts of numerous parameters on temperature, velocity, concentration, and motile microorganisms profiles are examined through graphs. Whereas, skin friction and Nusselt number are illustrated using tables. As the magnetic parameter values are raised, the velocity profile is seen to decrease and the temperature curve exhibits the opposite tendency. Additionally, the heat transfer rate expands as the nonlinear radiation heat factor is enhanced. Moreover, the outcomes in this investigation are more consistent and precise than in earlier ones.
本文旨在研究磁场、非线性热辐射、热源或热汇、Soret 效应和激活能如何影响 Riga 板上的生物对流纳米流体流动的传热特性。本研究的主要目的是提高传热速率。通过一组偏微分方程（PDEs）来描述流动问题。由于生成的控制微分方程是非线性的，我们使用适当的相似变换将它们从偏微分方程（PDEs）转化为常微分方程（ODEs）。使用 MATLAB 中的 bvp4c 包对简化的数学模型进行数值求解。通过图形来研究众多参数对温度、速度、浓度和游动微生物分布的影响。而摩擦系数和努塞尔数则通过表格来表示。随着磁场参数的增加，速度分布减小，而温度曲线则呈现相反的趋势。此外，随着非线性辐射热因子的增强，传热速率增加。此外，本研究的结果比以前的研究更一致和精确。
