Numerical Simulations of Electrohydrodynamics flow model based on Burgers' Equation with Transport of Bubbles

TL;DR

This paper develops and analyzes coupled numerical models for electrohydrodynamic flows involving bubble transport, based on Burgers' equation and level-set methods, with applications in additive manufacturing and plasma processes.

Contribution

It introduces a coupled modeling framework combining Burgers' equation and level-set transport for bubbles, with detailed numerical analysis and simulation results.

Findings

Decoupled and coupled model simulations of bubble transport.

Effective numerical solvers using splitting and level-set techniques.

Insights into bubble dynamics in electrohydrodynamic flows.

Abstract

In this paper we present numerical models for electrodynamical flows with time-dependent electrical fields with transport of bubbles. Such models are applied in e-jet printing, e.g., additive manufacturing (AM), and convective cooling, electrostatic precipitation, plasma assisted combustion. We present a coupled model, consisting of two models. The first model is the underlying hydrodynamical simulation model, which is based on the Burgers' equation. The second model is a transport model based on level-set equations, which transport the bubbles in the flow field. We derive the modeling of the two coupled modeling equations and discuss decoupled and coupled versions for solving such delicate problems. In the numerical analysis, we discuss the solvers methods, which are based on splitting approaches and level-set techniques. In the first numerical results, we present decoupled and coupled model simulations of the bubbles in the liquid flow.