Abstract

The deformation and breakup of a polymer solution droplet plays a key role in inkjet printing technology, tablet-coating process, and other spray processes. In this study, the bag breakup behavior of the polymer droplet is investigated numerically. The simple coupled level set and volume of fluid (S-CLSVOF) method and the adaptive mesh refinement (AMR) technique are employed in the droplet breakup cases at different Weber numbers and Ohnesorge numbers. The nature of the polymer solution is handled using Herschel–Bulkley constitutive equations to describe the shear-thinning behavior. Breakup processes, external flow fields, deformation characteristics, energy evolutions, and drag coefficients are analyzed in detail. For the bag breakup of polymer droplets, the liquid bag will form an obvious reticular structure, which is very different from the breakup of a Newtonian fluid. It is found that when the aerodynamic force is dominant, the increase of the droplet viscous force will prolong the breakup time, but has little effect on the final kinetic energy of the droplet. Moreover, considering the large deformation of the droplet in the gas flow, a new formula with the cross-diameter (Dcro) is introduced to modify the droplet drag coefficient.

Highlights

  • The fluids used in many spray processes mostly contain various kinds of additives, such as polymers and nanoparticles, which can make rather dramatic changes to the rheological behavior of the fluids

  • Our study focuses on bag breakup mode

  • The results demonstrate that the droplet deformation and breakup are nearly independent of the mesh size when the D/∆x is larger than 160

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Summary

Introduction

The fluids used in many spray processes mostly contain various kinds of additives, such as polymers and nanoparticles, which can make rather dramatic changes to the rheological behavior of the fluids. Zhao et al [18,19] paid attention to the influence of rheological properties on the coal-water slurry (CWS) droplet breakup and showed that the breakup process will occur in a transition mode: hole breakup They found that hole breakup is slightly alike to the bag breakup of the Newtonian droplet, the difference being that, in hole breakup, there is no thin bag structure. In this paper, a representative polymer solution is selected to investigate the droplet bag breakup behavior by numerical simulation and applied the simple coupled level set and volume of fluid (S-CLSVOF) method and the adaptive mesh refinement (AMR) technique to capture the gas-liquid interface.

Governing Equations
The Constitutive Equations
Computational Domain Setup
Grid Independency
Numerical Model Verification
Results and Discussion
Bag Breakup Behavior and Velocity Field
Droplet Deformation
Energy Evolution
Drag Coefficient
D 3 dUDroplet ρl π
Conclusions
Methods
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