Application of Constant Proportional Caputo Fractional Derivative to Thermodiffusion Flow of MHD Radiative Maxwell Fluid under Slip Effect over a Moving Flat Surface with Heat and Mass Diffusion

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL Advances in Mathematical Physics Pub Date : 2024-01-22 DOI:10.1155/2024/9306915
Adnan Ahmad, M. Nazar, M. Ahmad, Sayed M. Eldin, Zaib Un Nisa, Hassan Waqas, M. Imran
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Abstract

Thermal diffusion is a phenomenon where the concentration gradient or diffusive flux is created due to the temperature gradient. Thermal diffusion is induced because of the higher temperature and uneven distribution of the mixture. Formally, thermal diffusion is called the Soret effect, and it is a crucial factor in a number of natural occurrences like the separation of isotopes technique of purification. In this research paper, Maxwell fluid’s flow in the vicinage of a flat plate is discussed by considering the effect of the thermodiffusion subject to the first-order slip at the boundary with the application of a constant proportional Caputo (CPC) fractional derivative. The effect of heat generation and radiation is also taken into consideration, as well as the effect of a magnetic field of constant magnitude. The generalized heat and mass fluxes are considered, and this generalization of heat and mass fluxes is done by utilizing the CPC fractional derivative. After converting the current model’s governing equations into a dimensionless form, the temperature, concentration, and velocity fields’ analytical solutions are found. By drawing graphs of the temperature, concentration, and velocity fields for the parametric modifications, the results are graphically illustrated. It becomes clear from the results discussion that the outcomes produced by the constant proportional derivative are more decaying than those obtained with the classical differential operator of order one.
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恒定比例卡普托分式导数在具有热扩散和质量扩散的移动平面上滑移效应下的 MHD 辐射麦克斯韦流体热扩散流动中的应用
热扩散是一种由于温度梯度而产生浓度梯度或扩散通量的现象。引起热扩散的原因是混合物的温度较高且分布不均。从形式上讲,热扩散被称为索雷特效应,它是许多自然现象中的关键因素,如同位素的分离纯化技术。在这篇研究论文中,考虑到热扩散的影响,在应用恒定比例卡普托(CPC)分数导数的情况下,讨论了麦克斯韦流体在平板附近的流动。还考虑了热量产生和辐射的影响,以及恒定磁场的影响。考虑了广义的热通量和质量通量,热通量和质量通量的广义化是通过使用 CPC 分数导数实现的。将当前模型的控制方程转换为无量纲形式后,就可以找到温度场、浓度场和速度场的解析解。通过绘制参数修改后的温度场、浓度场和速度场的曲线图,以图表的形式对结果进行了说明。从结果讨论中可以清楚地看出,恒定比例导数产生的结果比用一阶经典微分算子得到的结果衰减得更厉害。
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来源期刊
Advances in Mathematical Physics
Advances in Mathematical Physics 数学-应用数学
CiteScore
2.40
自引率
8.30%
发文量
151
审稿时长
>12 weeks
期刊介绍: Advances in Mathematical Physics publishes papers that seek to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. The journal welcomes submissions from mathematical physicists, theoretical physicists, and mathematicians alike. As well as original research, Advances in Mathematical Physics also publishes focused review articles that examine the state of the art, identify emerging trends, and suggest future directions for developing fields.
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