Simulation of storage of cold energy considering unsteady conduction mechanism in mathematical model

Abstract

To enhance system productivity, fins were incorporated into the container, and PCM (phase change material) infused with alumina nanoparticles was introduced. Mathematical modeling was employed to evaluate the current problem, with a specific focus on utilizing water as the PCM for achieving the fastest solidification process. The integration of fins, PCM, and nano-powders introduces a novel dimension to the research, providing unique insights into enhancing solidification processes. The surrounding cold walls of the container play a crucial role in solidification, primarily through conduction. The low speed of H2O allows its neglect in simulation. The developed mathematical model for this work comprises two equations. While considering larger powder sizes improves particle interaction, the negative impact of sedimentation diminishes conductivity. The addition of nanoparticles results in a 41.34 % enhancement in the solidification rate. Furthermore, altering the powder diameter from thirty to 40 nm reduces the completion time about 19.98 %, whereas an increase from 40 to 50 nm elevates it by about 49.37 %.

Keywords

• Mathematical modeling
• Finite element method
• Solidification
• Nanomaterial
• NEPCM