Unsteady thermal efficiency and temperature isotherms of an inclined radiative porous concave parabolic tapered fin: An application of design of tapered fin featuring

Abstract

The present article investigates the unsteady energy efficiency and isotherms for the inclined radiative concave parabolic fin. Fourier Law is employed by incorporating the radiation and convection phenomena. Darcy model has been employed to study the porous effects on a fin. The novelty of the present problem is transient thermal analysis of a radiative porous concave parabolic fin by consideration of fin tapper ratio and angle of inclination for several pertinent parameters. Calculation of fin efficiency is the added feature of present study. The governing partial differential is transformed into the dimensionless form by employing the non-dimensional variables. With the help of MATHEMATICA a partial differential equation is solved by applying the ND Solve. The isotherms are obtained for the variations in time and space variables. It is unveiled that temperature distribution diminishes for the upsurge in the convective radiative parameters. Temperature distribution elevates as the enhancement in heat generating parameter. It has been concluded that the fin taper ratio and angle of inclination palys a vital role in heat transfer performance. An elevated thermal dispersal is seen for increasng time.

Keywords

• Fin
• Tappered ratio
• Concave parabolic
• Isotherms
• Efficiency