Sowmya G, Lashin Maha M A, Khan M Ijaz, Kumar R S Varun, Jagadeesha K C, Prasannakumara B C, Guedri Kamel, Bafakeeh Omar T, Mohamed Tag-ElDin El Sayed, Galal Ahmed M
Department of Mathematics, M S Ramaiah Institute of Technology, Bangalore 560054, India.
Electrical Engineering Department, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia.
Micromachines (Basel). 2022 Aug 17;13(8):1336. doi: 10.3390/mi13081336.
A variety of methodologies have been used to explore heat transport enhancement, and the fin approach to inspect heat transfer characteristics is one such effective method. In a broad range of industrial applications, including heat exchangers and microchannel heat sinks, fins are often employed to improve heat transfer. Encouraged by this feature, the present research is concerned with the temperature distribution caused by convective and radiative mechanisms in an internal heat-generating porous longitudinal dovetail fin (DF). The Darcy formulation is considered for analyzing the velocity of the fluid passing through the fin, and the Rosseland approximation determines the radiation heat flux. The heat transfer problem of an inverted trapezoidal (dovetail) fin is governed by a second-order ordinary differential equation (ODE), and to simplify it to a dimensionless form, nondimensional terms are utilized. The generated ODE is numerically solved using the spectral collocation method (SCM) via a local linearization approach. The effect of different physical attributes on the dimensionless thermal field and heat flux is graphically illustrated. As a result, the temperature in the dovetail fin transmits in a decreasing manner for growing values of the porosity parameter. For elevated values of heat generation and the radiation-conduction parameter, the thermal profile of the fin displays increasing behavior, whereas an increment in the convection-conduction parameter downsizes the thermal dispersal. It is found that the SCM technique is very effective and more conveniently handles the nonlinear heat transfer equation. Furthermore, the temperature field results from the SCM-based solution are in very close accordance with the outcomes published in the literature.
人们已经使用了多种方法来探索强化热传输，而采用肋片方法来研究传热特性就是其中一种有效的方法。在包括热交换器和微通道散热器在内的广泛工业应用中，肋片常常被用于改善传热。受此特性的启发，本研究关注内部发热多孔纵向燕尾肋片（DF）中对流和辐射机制所引起的温度分布。分析流体通过肋片的速度时考虑达西公式，而罗斯兰近似确定辐射热通量。倒梯形（燕尾形）肋片的传热问题由二阶常微分方程（ODE）控制，为了将其简化为无量纲形式，使用了无量纲项。通过局部线性化方法，利用谱配置法（SCM）对生成的常微分方程进行数值求解。以图形方式说明了不同物理属性对无量纲热场和热通量的影响。结果表明，对于孔隙率参数不断增大的值，燕尾肋片中的温度以递减方式传递。对于发热值和辐射 - 传导参数的升高值，肋片的热分布呈现增加的趋势，而对流 - 传导参数的增加会减小热扩散。研究发现，谱配置法技术非常有效，能更方便地处理非线性传热方程。此外，基于谱配置法的解所得到的温度场结果与文献中发表的结果非常吻合。
