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test
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cz295 committed Nov 16, 2023
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20 changes: 15 additions & 5 deletions _projects/bouncing.md
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category: PhD
related_publications:
---
<div style='text-align: justify;'>
Droplet collision occurs frequently in many natural and industrial processes, for example, the formation of raindrops, spray and atomisation. This problem
can be characterised by a dimensionless number, the <i>Weber</i> number. Experimental studies on the head-on collision of droplets of equal size have
identified four distinct outcomes with increasing values of <i> We </i> number: 1) coalescence after minor deformation; 2) bouncing; 3) coalescence after large
deformation; and 4) coalescence followed by separation with the generation of secondary droplets. We are interestd in the determining force from regime 1) and regime 2).
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The gas film between the two droplets play an important role
</div>

<div class="row justify-content-center">
<div class = "center">
<div class="col-sm">
{% include figure.html path="assets/img/bounce.png" title="example image" class="img-fluid rounded z-depth-1" %}
{% include figure.html path="assets/img/merge.png" title="example image" class="img-fluid rounded z-depth-1" %}
</div>
</div>
</div>
<div class="caption">
Droplet formation from a faucet and the generation of satellite droplets. (interface in blue and the computational mesh in red)
</div>


<div class="row justify-content-center">
<div class = "center">
<div class="col-sm">
{% include figure.html path="assets/img/bounce.gif" title="example image" class="img-fluid rounded z-depth-1" %}
{% include figure.html path="assets/img/merge_mesh.png" title="example image" class="img-fluid rounded z-depth-1" %}
</div>
</div>
</div>
<div class="caption">
Droplet formation from a faucet and the generation of satellite droplets. (interface in blue and the computational mesh in red)
</div>


<div class="row justify-content-center">
<div class = "center">
<div class="col-sm">
{% include figure.html path="assets/img/merge.png" title="example image" class="img-fluid rounded z-depth-1" %}
{% include figure.html path="assets/img/bounce.png" title="example image" class="img-fluid rounded z-depth-1" %}
</div>
</div>
</div>
<div class="caption">
Droplet formation from a faucet and the generation of satellite droplets. (interface in blue and the computational mesh in red)
</div>


<div class="row justify-content-center">
<div class = "center">
<div class="col-sm">
{% include figure.html path="assets/img/merge_mesh.png" title="example image" class="img-fluid rounded z-depth-1" %}
{% include figure.html path="assets/img/bounce.gif" title="example image" class="img-fluid rounded z-depth-1" %}
</div>
</div>
</div>
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4 changes: 2 additions & 2 deletions _projects/mesh.md
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related_publications:
---
<div style='text-align: justify;'>
In multiphase flows, the key factor is the presence of an interface separating different phases. Many physical properties, for example density and viscosity, are discontinuous across the interface. The interface also possesses localised properties including the interfacial tension. Furthermore, owing to the fact that the interface is a moving boundary, the evolution of the interface is coupled with the velocity field and pressure, and all of these must be determined simultaneously
In multiphase flows, the key factor is the presence of an interface separating different phases. Many physical properties, for example density and viscosity, are discontinuous across the interface. The interface also possesses localised properties including the interfacial tension. Furthermore, owing to the fact that the interface is a moving boundary, the evolution of the interface is coupled with the velocity field and pressure, and all of these must be determined simultaneously.
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We adopted an approach to track the interface explicitly on a unstructured triangular mesh. An adaptive moving mesh generator was developped to follow the interface evolution and to constanly refine/coarse the compuational mesh. In general, finer mesh is required near the interface as interfacial tension is the driving force in problems we interested in. Applying a coarser mesh in regions far away from the interface also reduces the computing costs.
Expand All @@ -23,7 +23,7 @@ We adopted an approach to track the interface explicitly on a unstructured trian
</div>
</div>
<div class="caption">
Mesh generation: The goal is to generate a circular interface (drawn in blue). We started with just 3 nodes on the interface and gradually refined the mesh. In the final mesh, the region near the interface has much higher mesh density.
Mesh generation: The goal is to generate a circular interface (drawn in red). We started with just 3 nodes on the interface and gradually refined the mesh. In the final mesh, the region near the interface has much lower mesh size.
</div>

<div class="row justify-content-center">
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