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Simulation of two coalescing bubbles in the presence of rotational flow for two different interface energies, (a) σ 2 = 10 −2 σ 1 and (b) σ 3 = 10 −2 σ 2 = 10 −4 σ 1 . The figure in top corresponds to the initial simulation setup, while the figures in the middle and bottom correspond to middle and final time steps, respectively, until two bubbles rotate for π/4 radian. The color code on the left accounts for the phase-field parameter, while that in the right accounts for velocity magnitude.

Simulation of two coalescing bubbles in the presence of rotational flow for two different interface energies, (a) σ 2 = 10 −2 σ 1 and (b) σ 3 = 10 −2 σ 2 = 10 −4 σ 1 . The figure in top corresponds to the initial simulation setup, while the figures in the middle and bottom correspond to middle and final time steps, respectively, until two bubbles rotate for π/4 radian. The color code on the left accounts for the phase-field parameter, while that in the right accounts for velocity magnitude.

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Figure 2: Schematic view of a planar interface between gas and liquid...
Figure 3: (a) Final state of a 2D stable bubble in the equilibrium...
Figure 4: (a) Density profile along the red line in Fig. 3-a in the...
Figure 7: Radii of the gas domain which forms out of two merging...
+1 Figure 8: Time evolution of two coalescing bubbles with different...
Controlling bubble coalescence in metallic foams: A simple phase field-based approach
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  • Sep 2019
The phase-field method is used as a basis to develop a strictly mass conserving, yet simple, model for simulation of two-phase flow. The model is aimed to be applied for the study of structure evolution in metallic foams. In this regard, the critical issue is to control the rate of bubble coalescence compared to concurrent processes such as their r...
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Context 1
... it is important to suppress the coalescence of bubbles compared to their relative motion. To illustrate the capability of the present model in this regard, in the last benchmark test, a system of two coalescing bubbles is simulated in the presence of a rotational flow for two different interface energies, σ 2 = 10 −2 σ 1 and σ 3 = 10 −4 σ 1 . Figure. 9 shows the results of these simulations at three different times. Each row corresponds to the same time starting from top as initial time (t = 0) to bottom as the final time. For the simulation with the larger interface energy (σ 2 = 10 −2 σ 1 , left column), the two bubbles partially merge as they rotate about 1/8 of a cycle in an ...
Context 2
... lower interface energy (σ 3 = 10 −4 σ 1 , right column) hardly any advance in the coalescence of bubbles is observed for the same amount of rotation, Figure. 9-b. This clearly demonstrates the maturity of the present model in controlling (slowing down of) the rate of coalescence compared to other concurrent processes. It is noteworthy that in Fig. 9-b, the attached bubbles deform slightly from their circular shape. This is a result of using a very low interface energy, which makes it difficult for the bubbles to resist the deformation induced by the shear forces of the ...
Context 3
... it is important to suppress the coalescence of bubbles compared to their relative motion. To illustrate the capability of the present model in this regard, in the last benchmark test, a system of two coalescing bubbles is simulated in the presence of a rotational flow for two different interface energies, σ 2 = 10 −2 σ 1 and σ 3 = 10 −4 σ 1 . Figure. 9 shows the results of these simulations at three different times. Each row corresponds to the same time starting from top as initial time (t = 0) to bottom as the final time. For the simulation with the larger interface energy (σ 2 = 10 −2 σ 1 , left column), the two bubbles partially merge as they rotate about 1/8 of a cycle in an ...
Context 4
... lower interface energy (σ 3 = 10 −4 σ 1 , right column) hardly any advance in the coalescence of bubbles is observed for the same amount of rotation, Figure. 9-b. This clearly demonstrates the maturity of the present model in controlling (slowing down of) the rate of coalescence compared to other concurrent processes. It is noteworthy that in Fig. 9-b, the attached bubbles deform slightly from their circular shape. This is a result of using a very low interface energy, which makes it difficult for the bubbles to resist the deformation induced by the shear forces of the ...