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Showing 1 to 4 of 4 for “"Matched asymptotic analysis"”.
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Dewetting of thin solid films
… numerical simulations and linear stability analysis of the dewetting front. We start with the formulation of a two-dimensional anisotropic phase field model for solid state dewetting on a solid substrate. The evolution is described by a Cahn-Hilliard type equation with a bi-quadratic …
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PRESSURE DRIVEN WALL JET FLOW NEAR CHANNEL EXIT AT MODERATE REYNOLDS NUMBER
… exit. The problem is solved using the method of matched asymptotic expansions. The small parameter involved in the expansions is the inverse Reynolds number. The flow and pressure fields are obtained as composite expansions by matching the flow in the boundary-layer region near the free surface, …
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Nonlinear interfacial stability of core-annular film flows in the presence of surfactants
… equation which is novel. NVe then carry out an asymptotic solution of the problem when the annular layer is thin compared to the core-fluid radius and for waves which are of the order of the pipe radius (that is long compared to the annular layer thickness); these scales are in accord with both …
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Stability of rigid and deformable roll coating flows
… re-examination of the boundaxy conditions. A matched asymptotic analysis applicable for small capillaxy numbers Ca and small inter-roll gaps gives the leading order correction to the boundary conditions and it is found that the inclusion of the correction terms alter the results significantly. …