The Role of Stretching/Shrinking on the Heat Transfer Performance of Fully Wetted Trapezoidal Fin Structures Under the Impact of Convection and Radiation Effects

ABSTRACT The trapezoidal shape maximizes surface area, promoting efficient heat dissipation and transfer in diverse sectors, contributing to improved thermal performance and preventing overheating in various devices and systems. In this context, the present work focuses on the thermal performance and features of heat transmission through a fully wetted trapezoidal fin structure, when the fins' surface is equipped with a shrinking or stretching mechanism. The trapezoidal fin has been analyzed using three distinct mechanisms: stretching, stagnation, and shrinking mechanisms. Furthermore, the formulation of the fin performance problem incorporates the effects of convection, radiation, and internal heat generation. To examine the solid–fluid interactions, Darcy's law has been applied. The governing equation has been nondimensionalized by employing appropriate nondimensional terms, and then solved by using Runge‐Kutta‐Fehlberg (RKF) method numerically. The significance of essential parameters such as internal heat generation, convection, radiation, wet porous parameter, stretching/shrinking parameter, and other relevant parameters and efficiency of trapezoidal fin have been analyzed and graphically interpreted. We observed that as the peclet number () increases by 400%, temperature also increases by 7.46%. By enhancing the value of radiation parameter by 900%, the temperature of the fin tip decreases by 27.306%. It is inferred that the shrinking mechanism greatly enhances the fin's cooling impact, particularly when the fin is moving. The current analysis is helpful for the fin design and pertains to practical applications.