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Bibliographische Detailangaben
Hauptverfasser: Nathawani, Darsh, Knepley, Matthew
Format: Preprint
Veröffentlicht: 2023
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2307.01308
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Inhaltsangabe:
  • Shear-induced droplet formation is important in many industrial applications, primarily focusing on droplet sizes and pinch-off frequency. We propose a one-dimensional mathematical model that describes the effect of shear forces on the droplet interface evolution. The aim of this paper is to simulate paraffin wax droplets in a co-flowing fluid using the proposed model to estimate the droplet volume rate for different flow velocities. Thus, the study focuses only on the dripping regime. This one-dimensional model has a single parameter that arises from the force balance on the interface. We use PETSc, an open-source solver toolkit, to implement our model using a mixed finite element discretization. The parameter is defined by cross-validation from previous computational and experimental data. We present the simulation results for liquid paraffin wax under fast-moving airflow with a range of velocities.