Abdollahi Seyyed Amirreza, Ranjbar Seyyed Faramarz, Ehghaghi Mir Biuok, Hosseini Eimeni Seyed Hossein, Pasha Pooya, Hashemi Karouei Seyed Hossein
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran.
Department of Mechanical Engineering, Babol Noshirvani University of Technology, Babol, Iran.
Heliyon. 2024 May 25;10(11):e31914. doi: 10.1016/j.heliyon.2024.e31914. eCollection 2024 Jun 15.
This study explores the transfer of mass and heat within unstable two-dimensional flows of non-Newtonian material under conditions involving radiation generation, absorption, and thermal radiation. Additionally, it investigates the impact of magnetic hydromagnetic joule (MHD) heating on these processes. The researchers converted the partial differential equations into ordinary ones through appropriate transformations. Subsequently, a new idea was considered, involving coupling fractional differential equations using the AGM method, with an order of 0.5 < a <0.8 and the initial condition x (0) = x. A new technique is introduced to find the exact solution of fractional differential equations by solving the correct order differential equations. The primary aim of this paper is to explore the impact of parameter variations on velocity, temperature, local skin friction coefficient, and local Nusselt and Sherwood numbers. This article investigates the effect of multi-parameter changes on local skin friction coefficient and Schmidt number. In most fluid heat transfer problems, especially in non-Newtonian fluids, fractional differential equations are widely used in liquids. The obtained results indicate that the Lorentz force, influenced by the magnetic field parameter (Ha), diminishes the velocity distribution. Additionally, it is observed that the temperature profile decreases as the radiation parameter (R) increases.
本研究探讨了在涉及辐射产生、吸收和热辐射的条件下，非牛顿材料不稳定二维流体内的质量和热量传递。此外，还研究了磁流体动力学焦耳（MHD）加热对这些过程的影响。研究人员通过适当的变换将偏微分方程转化为常微分方程。随后，考虑了一个新的想法，即使用AGM方法耦合分数阶微分方程，其阶数为0.5 < α < 0.8，初始条件为x(0) = x。引入了一种新技术，通过求解正确阶数的微分方程来找到分数阶微分方程的精确解。本文的主要目的是探讨参数变化对速度、温度、局部表面摩擦系数以及局部努塞尔数和舍伍德数的影响。本文研究了多参数变化对局部表面摩擦系数和施密特数的影响。在大多数流体传热问题中，特别是在非牛顿流体中，分数阶微分方程在液体中被广泛使用。所得结果表明，受磁场参数（Ha）影响的洛伦兹力会减小速度分布。此外，还观察到温度分布随辐射参数（R）的增加而降低。
