Soret-Dufour机制下Casson-Williamson纳米流体边界层流动磁热和化学反应的线性和二次多元回归分析

Q1 Mathematics
B. Falodun, E. O. Ige
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引用次数: 3

摘要

摘要本文的重点是利用光谱配置和统计分析方法,研究在热辐射和Soret Dufour机制的影响下,MHD Casson Williamson纳米流体在倾斜板上的流动。利用偏微分方程(PDE)对磁场、焦耳加热、化学反应和粘性耗散条件下Casson Williamson非牛顿流体的同时流动进行了建模。通过使用适当的相似变量将这些方程转化为耦合的非线性常微分方程。对转换后的方程进行了数值和统计分析,以获得流动参数对速度、温度和浓度分布的显著影响。观察到热辐射值的增加以增加流体温度、热条件和热边界层厚度。观察到磁性参数值的增加会降低流体速度。由于磁场和动态塑性粘度,观察到流体动力学边界层由于Casson参数的增加而下降。本研究与文献中的研究进行了比较,结果一致。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Linear and quadratic multiple regressions analysis on magneto-thermal and chemical reactions on the Casson-Williamson nanofluids boundary layer flow under Soret-Dufour mechanism
Abstract The focus of this paper is to conduct research on MHD Casson-Williamson nanofluids flow over an inclined plate with the influence of thermal radiation and Soret-Dufour mechanisms using spectral collocation and statistical analysis. The simultaneous flow of Casson-Williamson non-Newtonian fluids in the presence of a magnetic field, Joule heating, chemical reaction, and viscous dissipation is modelled by utilizing partial differential equations (PDEs). These equations were transformed into coupled nonlinear ordinary differential equations by using an appropriate similarity variable. A numerical and statistical analysis was performed on the transformed equations to obtain significant effects of flow parameters on velocity, temperature, and concentration distributions. An increase in the value of the thermal radiation is observed to increase the fluid temperature, thermal condition, and thermal boundary layer thickness. An increased value of magnetic parameter was observed to decrease the fluid velocity. Due to a magnetic field and the dynamic plastic viscosity, the hydrodynamic boundary layer was observed to decline due to an increase in Casson parameter. The present study was compared with studies in the literature and found in good agreement.
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来源期刊
Arab Journal of Basic and Applied Sciences
Arab Journal of Basic and Applied Sciences Mathematics-Mathematics (all)
CiteScore
5.80
自引率
0.00%
发文量
31
审稿时长
36 weeks
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