Particle cooling in Vaporizing Coolant

TL;DR

This paper develops a simplified mathematical model for particle cooling in a vaporizing coolant, providing useful correlations for estimating cooling parameters despite the complexity of the full physical process.

Contribution

The paper introduces a simplified model for particle cooling in vaporizing liquids, offering practical correlations for key parameters, which is a novel approach compared to complex existing models.

Findings

Derived correlations for cooling parameters

Simplified model captures essential physics

Useful for estimating particle cooling in vaporizing coolants

Abstract

The approximate mathematical model for a cooling of the particle in a volatile liquid is developed and analyzed. Despite the precise model is complex and requires the solution of the nonstationary two-phase flow equations with the conjugated heat transfer boundary problem for the particle, vapor, and liquid cooling pool, the considered simple model may be of interest. Vapor is permanently produced and removed from the coolant pool. Analysis of the model obtained resulted in some correlations for the three main parameters of the cooling process, which may be used for estimation of the particle cooling.