Abstract
The present work shows an analytical and a numerical method for heat transfer nonlinear problems in porous fins using the Darcy model. Numerical simulations are carried out with the aid of a sequence of linear problems, each of them possessing an equivalent minimum principle, that has as its limit the solution of the original problem. The nonlinear convection-radiation heat transfer process is considered and simulated by means of a finite difference scheme. Results showed the relevance of the radiation for realistic thermal mapping in porous media with percentage errors of up to 40% for the last nodes.
Highlights
The first choice for the enhancement of rate of heat transfer from/to a body consists of using fins in order to provide an increase of the effective heat transfer surface
The extended surface is widely used in several engineering systems that incorporate from well-known heat exchangers to heat pipes as shown in recent studies [4,5,6]
This work provides a comprehensive approach to heat dissipation in extended surfaces, where several parameters were considered, among which the application of thermal radiation effects and the porosity of the fin material stand out
Summary
The first choice for the enhancement of rate of heat transfer from/to a body consists of using fins in order to provide an increase of the effective heat transfer surface. Rashad [14] employed magnetohydrodynamics and thermal radiation effects in heat and mass transfer of a vertical flat plate embedded in a fluid saturated porous media. Rashad et al [17] investigated theoretically the effects of thermal radiation and the nonlinear Forchheimer terms on boundary-layer flow and heat transfer by non-Darcy natural convection from a vertical cylinder embedded in a porous medium saturated with nanofluids. Rashad et al [18] studied the combined effects of thermal radiation and thermophoresis on heat and mass transfer by mixed convection over a vertical rotating cone in a fluid saturated porous medium. Darvishi et al [19] conducted a numerical study of steady-state heat transfer in porous rectangular fin under the influence of natural convection and radiation using homotopy analysis method.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
