![]() ![]() Mogaji and Oseni conducted a similar study. Kiwan investigated heat losses due to radiation on a porous fin. Radiation has been one of the means of transfer of heat and it occurs when heat travels as energy waves, known as infrared waves, from its source to the receiving ends. ![]() studied the effect of inclination on a porous fin using the homotopy perturbation method. Because of this, research on heat transfer analysis through porous fin has gained the attention of scientists and engineers. They observed that heat transfer through porous fins showed better thermal performance than solid fins. ![]() Kiwan and Al-Nimr pioneered the study of heat transfer through the porous fin. We refer the reader to the work of Aziz and Bouaziz, Aderogba et al. ![]() to study the thermal analysis of a moving fin subjected to a variable thermal conductivity. The radial basis function approximation was employed by Najafabadi et al. Several excellent results have been documented using semi-analytical and numerical methods on fin problems. Akindeinde utilized the Parker–Sochaki method to solve the problem of a natural convection rectangular fin with temperature-dependent thermal conductivity. The differential transform method was accurately used to study the efficiency of variable thermal conductivity of a convective–radiative fin by Poozesh et al. Kim and Huang used a series solution to perform parametric analysis on a temperature-dependent thermal conductivity fin problem. The Runge–Kutta shooting method was used to probe the non-linear fin problem by Cortell. The Adomian decomposition technique was employed on the temperature-dependent surface fin heat flux by Chang. Keeping these in mind, Aziz employed the perturbative method to investigate variable thermal conductivity and heat generation in a convective fin. The scientific investigation of fins has taken three broad dimensions among researchers, namely (i) performance and efficiency of a numerical technique, (ii) analysis of the thermo-physical properties of the fins in different geometries, and (iii) combination of the first two cases. The enhancement is achieved by increasing the thermal conductivity, heat transfer coefficient, surface area, and the temperature gradient between the surface and the surrounding. The reduction of thermal resistance influences heat transfer enhancement. These can be found in the air-cooled engine, gas turbines, heat exchangers, convectional surfaces, to mention but a few. Numerous engineering applications are poised to enhance heat transfer with reduced size and cost. Fin is a device used to enhance the convective heat transfer rate by extending the surface area through which heat is being transferred. The importance of achieving thermally efficient electronic systems and applications by improving the heat dissipation between the device surface and the surrounding environment using the extended surface is well documented and widely reported in the past few decades. The results obtained in this work will aid in the design of heat exchangers and other heat transfer equipments. Furthermore, increasing the thermo-geometric parameter will result in a progressive decrease in the temperature of the fin. An improvement in the multi-boiling heat transfer parameter retards the temperature distribution of the fin. Findings reveal that the non-linear variation of thermal conductivity shows better thermal efficiency than the linear variation. Before parametric analysis, the agreement between the two numerical methods was established. The solution of the governing dimensionless equation is approximated using the RK4 and spectral local linearization methods. Similarity variables were employed to reduce the models to non-dimensional form. The governing equations describing the problem were formulated with the aid of Darcy law. In the present investigation, the impact of multi-boiling and thermo-geometric factors on a convective–radiative rectangular porous fin subjected to the temperature-dependent thermal conductivity of linear and non-linear variations is discussed extensively. Fins are commonly utilized to enhance (dissipate) heat in various engineering systems that include heat exchangers. ![]()
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