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二阶流的热和溶质热输运研究及其在 Cattaneo-Christov 理论中的应用。

Thermal and solutal heat transport investigations of second order fluid with the application of Cattaneo-Christov theory.

机构信息

Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia.

Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom, Egypt.

出版信息

PLoS One. 2024 Jul 11;19(7):e0304794. doi: 10.1371/journal.pone.0304794. eCollection 2024.

DOI:10.1371/journal.pone.0304794
PMID:38990925
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11238972/
Abstract

The present examination of mass and heat communication looks at the impact of induced magnetic field, variable thermal conductivity, and activation energy on the flow of second-order liquid across a stretched surface. The mass-heat transfer is also treated using the Model for generalized Fourier and Fick's Laws. The model equations are transformed as needed to produce a system of nonlinear ODEs, which are then numerically solved with the help of BVP4C integrated MATLAB approach. The heat-mass flow parameters are analyzed by the table and graphs. An increment in the estimations of 2nd grade fluid parameter (β) with magnetic field parameter (M) increase the speed sketch. For the stronger estimations of Schmidt number (Sc), parameter of magnetic field (M) and Eckert number (Ec) have the growing behavior on the temperature profile.

摘要

本文研究了质量和热量传递，探讨了感应磁场、变导热系数和激活能对二阶液体在拉伸表面上流动的影响。质量-热量传递也采用了广义傅里叶定律和菲克定律模型进行处理。通过适当的变换，将模型方程转化为非线性常微分方程组，然后借助 BVP4C 集成的 MATLAB 方法进行数值求解。通过表格和图形分析了热质量流参数。随着磁场参数（M）的增加，二阶流参数（β）的估计值增加，速度图也随之增加。对于较强的施密特数（Sc）、磁场参数（M）和埃克特数（Ec）的估计值，温度分布呈现出增长的趋势。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/507f88c31b44/pone.0304794.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/5f4bfa3bb197/pone.0304794.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/88e9f107abb8/pone.0304794.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/e02d3831e254/pone.0304794.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/0c6672c6e405/pone.0304794.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/8d5a0894381d/pone.0304794.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/507f88c31b44/pone.0304794.g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/5f4bfa3bb197/pone.0304794.g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/88e9f107abb8/pone.0304794.g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/e02d3831e254/pone.0304794.g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/0c6672c6e405/pone.0304794.g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/8d5a0894381d/pone.0304794.g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/b437/11238972/507f88c31b44/pone.0304794.g006.jpg

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Heat and mass transfer in unsteady rotating fluid flow with binary chemical reaction and activation energy.具有二元化学反应和活化能的非稳态旋转流体流动中的传热传质
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