Simulation of Drop Impact on a Hot Wall using SPH Method with Peng-Robinson Equation of State

TL;DR

This paper develops a SPH simulation approach with Peng-Robinson EOS to model drop vaporization and impact on hot surfaces, capturing phase change and rebound phenomena without phase change models.

Contribution

It introduces a direct phase change simulation method using SPH with Peng-Robinson EOS, validated against analytical solutions for vaporization.

Findings

Drop film size decreases with increasing temperature.

High temperatures cause drops to rebound from the surface.

The method accurately captures phase change dynamics.

Abstract

This study presents a smoothed particle hydrodynamics (SPH) method with Peng-Robinson equation of state for simulating drop vaporization and drop impact on a hot surface. The conservation equations of momentum and energy and Peng-Robinson equation of state are applied to describe both the liquid and gas phases. The governing equations are solved numerically by the SPH method. The phase change between the liquid and gas phases are simulated directly without using any phase change models. The numerical method is validated by comparing numerical results with analytical solutions for the vaporization of n-heptane drops at different temperatures. Using the SPH method, the processes of n-heptane drops impacting on a solid wall with different temperatures are studied numerically. The results show that the size of the film formed by drop impact decreases when temperature increases. When the temperature is high enough, the drop will rebound.