The aim of this work is to apply the homotopy perturbation method and homotopy analysis method to the problem of thermal explosion in a flammable gas mixture with the addition of volatile fuel droplets. The system of equations that describes the effects of heating, evaporation, and combustion of fuel in a polydisperse spray is simplified. Both convective and radiative heating of droplets is tak...

We propose a mechanism to substantially rectify radiative heat flow by having one side of the thermal diode offering large contrast in local density electromagnetic states, while opposite serving as narrow bandpass filter that limits transport desired spectral range. To demonstrate, we realize such scenario matching thin films metal-to-insulator transition materials and polar dielectrics near f...