对存在磁场和相关粘度的二维拉伸板进行新的分析和数值分析

Shahryar Hajizadeh, P. Jalili, B. Jalili, D. Ganji
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摘要

本研究探讨了涉及 MHD 流动的杰弗里流体和多孔拉伸片的系统中的传热问题。该系统的数学表示最初使用偏微分方程(PDE)进行描述,然后通过Lie相似法和变换法等数值技术以及射击法将其转换为常微分方程(ODE)。结果表明,改变杰弗里流体、热源、拉伸片上的孔隙率以及系统内磁场的物理特性等变量会导致系统呈上升趋势。采用这种增强型传热系统可以在多个领域产生效益,包括工业机械、大容量数据存储单元、电子设备冷却等,从而增强加热和冷却过程。此外,研究还采用了 Akbari-Ganji 方法,这是一种新的半解析方法,旨在解决传热和传质的非线性微分方程。该方法的结果与有限元方法的结果在精确性、效率和简便性方面进行了比较。这项研究为复杂系统中的传热动力学提供了宝贵的见解,并为各种工业环境提供了潜在的应用。它还有助于开发更高效、更有效的传热技术。
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The new analytical and numerical analysis of 2D stretching plates in the presence of a magnetic field and dependent viscosity
This study explores heat transfer in a system involving Jeffery fluid of MHD flow and a porous stretching sheet. The mathematical representation of this system is initially described using a partial differential equation (PDE), which is then converted into an ordinary differential equation (ODE) through numerical techniques such as Lie similarity and transformation methods, along with the shooting approach. The results indicate that altering the variables of Jeffery fluid, heat source, porosity on a stretching sheet, and the physical characteristics of the magnetic field within the system leads to an upward trend. Implementing this enhanced heat transfer system can yield benefits across various domains, including industrial machinery, mass data storage units, electronic device cooling, etc., thereby enhancing heating and cooling processes. Furthermore, the study also utilized Akbari-Ganji’s Method, a new semi-analytical method designed to solve nonlinear differential equations of heat and mass transfer. The results obtained from this method were compared with those from the finite element method for accuracy, efficiency, and simplicity. This research provides valuable insights into heat transfer dynamics in complex systems and offers potential applications in various industrial settings. It also contributes to developing more efficient and effective heat transfer techniques.
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