Simulation of physical behavior of nanomaterial during freezing within a container

Abstract

Galerkin method for scrutinizing the treatment of system during solidification of water has been implemented in existence of alumina nanoparticle. Cylinder and blade shapes of nanoparticles have been dispersed in to water in considering concentration less than 0.04. With neglecting the gravity force impact during freezing process, there exist only energy equations which should involve phase change term as mathematical model. Such equation has been coupled with equation for fraction of solid phase and final equations have been solved numerically. The configuration of grid has been considered variable according to position of ice front. As amount of [Formula: see text] increases, the freezing period declines around 10.7% owing to greater conductivity of Nanoparticle Enhanced Phase Change Material (NEPCM). With dispersing nanoparticles, the required time for solidification declines around 47.7%.