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Diffuse interface models of soluble surfactants in two phase fluid flows

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Figure

Figure 1.1: Two immiscible fluids that are not yet emulsified. If the surface tensionbetween the fluids are reduced, one might see that fluid 1 enters a dispersed phaseand is dispersed into fluid 2
Figure 1.3: The double well and double obstacle potentials. Notice that the doubleobstacle potential penalises heavily if ϕ /∈ [−1, 1].
Table 4.1: Convergence table for Model A, non-instantaneous adsorption (α = 1),Henry isotherm (top) and Langmuir isotherm (bottom).
Figure 4.1: Model A ε-convergence for (a) the profile of cΓ(x = 0, t) and (b) theprofile of c(x, t = 1) with the Henry isotherm, (c) the profile of cΓ(x = 0, t) and (d)the profile of c(x, t = 1) with the Langmuir isotherm
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