Sidahmed Abdelmgid O M, Salah Faisal, Viswanathan K K
Department of Mathematics, College of Science & Arts, King Abdulaziz University, 21911, Rabigh, Saudi Arabia.
Department of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, 15, University Blvd., 140104, Samarkand, Uzbekistan.
Sci Rep. 2024 Jul 11;14(1):16025. doi: 10.1038/s41598-024-65642-9.
In this article, the numerical solutions for the heat transfer flow of an upper-convected Maxwell fluid across an exponentially stretched sheet with a chemical reaction on the Cattaneo-Christov heat flux model have been investigated. Using similarity transformation, the controlling system of nonlinear partial differential equations was transformed into a system of ordinary differential equations. The resulting converted equations were solved numerically by a successive linearization method with the help of MATLAB software. A graphic representation was created to analyze the physical insights of the relevant flow characteristics. The findings were presented in the form of velocity, temperature, and concentration profiles. As the relaxation time parameter varied, the local Nusselt number increased. The thermal relaxation time was shown to have an inverse relationship with fluid temperature. Furthermore, the concentration boundary layer becomes thinner as the levels of the reaction rate parameter increase. The results of this model can be applicable in biological fluids and industrial situations. Excellent agreement exists between the analysis's findings and those of the previous studies.
在本文中，研究了基于Cattaneo-Christov热流模型的上随体Maxwell流体在具有化学反应的指数拉伸薄板上的传热流动的数值解。通过相似变换，将非线性偏微分方程的控制系统转化为常微分方程组。借助MATLAB软件，采用逐次线性化方法对所得的转换方程进行了数值求解。绘制了图形以分析相关流动特性的物理见解。研究结果以速度、温度和浓度分布的形式呈现。随着松弛时间参数的变化，局部努塞尔数增加。热松弛时间与流体温度呈反比关系。此外，随着反应速率参数水平的增加，浓度边界层变薄。该模型的结果可应用于生物流体和工业场景。本分析结果与先前研究结果之间存在极好的一致性。
