Affiliation:
1. Department of Mathematics, University of Malakand Chakdara Dir(L), Khyber Pakhtunkhwa, Pakistan
2. Department of Mathematics, College of Sciences, King Saud University, Riyadh 11451, Saudi Arabia
3. Government Degree College Totakan, Khyber Pakhtunkhwa, Pakistan
Abstract
<p>The purpose of fins or extended surfaces is to increase the dissipation of heat from hot sources into their surroundings. Fins like annular fins, longitudinal fins, porous fins, and radial fins are used on the surface of equipments to enhance the rate of heat transfer. There are many applications of fins, including superheaters, refrigeration, automobile parts, combustion engines, electrical equipment, solar panels, and computer CPUs. Based on a wide range of applications, the effects of stretching/shrinking on a fully wet trapezoidal fin with internal heat generation is investigated. The shooting approach is used to calculate the trapezoidal fin's thermal profile, tip temperature, and efficiency. It is observed that with an increase in the shrinking and wet parameter, the temperature distribution decreases and efficiency increases. On the other hand, when stretching increases, the temperature distribution increases and efficiency diminishes. Using the computed results, it is concluded that shrinking trapezoidal fins improves the effectiveness and performance of the system.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference41 articles.
1. A. D. Kraus, A. Aziz, J. Welty, D. P. Sekulic, Extended surface heat transfer, Appl. Mech. Rev., 54 (2001), B92. https://doi.org/10.1115/1.1399680
2. S. Kalpakjian, Manufacturing Engineering and Technology, Chennai: Pearson Education (India), 2001.
3. Y. Shi, Q. Lan, X. Lan, J. Wu, T. Yang, B. Wang, Robust optimization design of a flying wing using adjoint and uncertainty-based aerodynamic optimization approach, Struct Multidisc Optim, 66 (2023), 110. https://doi.org/10.1007/s00158-023-03559-z
4. Y. Shi, C. Song, Y. Chen, H. Rao, T. Yang, Complex standard eigenvalue problem derivative computation for laminar-turbulent transition prediction, AIAA J., 61 (2023), 3404–3418. https://doi.org/10.2514/1.J062212
5. T. S. Mogaji, F. D. Owoseni, Numerical analysis of radiation effect on heat flow through fin of rectangular profile, Am. J. Eng. Res., 6 (2017), 36–46.