Numerical analysis of stretching/shrinking fully wet trapezoidal fin

Sharif Ullah; Obaid J. Algahtani; Zia Ud Din; Amir Ali; Sharif Ullah; Obaid J. Algahtani; Zia Ud Din; Amir Ali

doi:10.3934/nhm.2024030

Networks and Heterogeneous Media

2024, Volume 19, Issue 2: 682-699. doi: 10.3934/nhm.2024030

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Numerical analysis of stretching/shrinking fully wet trapezoidal fin

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

Received: 25 November 2023 Revised: 17 April 2024 Accepted: 18 April 2024 Published: 08 July 2024

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.
- trapezoidal fin,
- shrinking,
- stretching,
- fin's taper ratio,
- convection,
- fully wet fin,
- radiation,
- peclet number
Citation: Sharif Ullah, Obaid J. Algahtani, Zia Ud Din, Amir Ali. Numerical analysis of stretching/shrinking fully wet trapezoidal fin[J]. Networks and Heterogeneous Media, 2024, 19(2): 682-699. doi: 10.3934/nhm.2024030

Related Papers:

Abstract

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.

References

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