In this study, thermal performance across straight convecting- radiating fin with temperature dependent thermal conductivity is considered. The variation of parameters (VPM) is adopted to analyze the nonlinear higher order differential equations arising due to thermal conductivity and heat transfer coefficient on temperature distribution. Pertinent parameters such as thermo geometric and radiat...

We investigate the inverse problem associated with the heat equation involving recovery of initial temperature distribution in a two-layer cylinder with perfect thermal contact at the interface. The heat equation is solved backward in time to obtain a relationship between the final temperature distribution and the initial temperature profile. An integral representation for the problem is found,...

ABSTRACT The low luminosity of Uranus is still a puzzling phenomenon and has key implications for the thermal compositional gradients within planet. Recent studies have shown that planetary volatiles become ionically conducting under conditions are present in ice giants. Rapidly growing electrical conductivity with increasing depth would couple zonal flows to background magnetic field planets, ...