Numerical Analysis of Fully Wetted Cylindrical Porous Fins with Temperature-Dependent Thermal Conductivity, Surface Emissivity and Heat Transfer Coefficient Under Natural Convection and Radiation
摘要
The present study investigates the thermal performance of a fully wetted cylindrical porous fin under the combined influence of convection and radiation, considering the temperature-dependent nature of surface emissivity, thermal conductivity and heat transfer coefficient. Despite extensive studies on cylindrical porous fins, the simultaneous variation of these temperature-dependent parameters under natural convection and radiation has not been adequately addressed. The governing energy equation is formulated based on Darcy’s model, incorporating the solid–fluid interaction within the porous medium, and transformed into a nonlinear ordinary differential equation. The equation is solved numerically using the Runge–Kutta–Fehlberg fourth–fifth-order (RKF-45) method. The results reveal that as concective parameter increases, the temperature of the fin decreases by 38.134%. An increase in the radiation parameter and the wet porous parameter results in a reduced temperature profile by 28.011 and 17.895%, thereby promoting fin cooling. Also as the emissivity parameter increases, the temperature of the fin decreases by 1.786%. As the thermal conductivity parameter increases, the temperature increases by 2.879%. The present analysis has wide number of applications in the field of thermal management in electronics, solar collectors, aerospace, gas turbines, nuclear power plants, air conditioners, refrigeration and so on.