The above figure is a stability map given in terms of the spatial wavenumbers at which the system is neutrally stable as a function of growth velocity for an orientation slope of 0.01 and for shear rates of -0.1, 0.0, 0.0001, 0.001, 0.01, 0.1 and 0.5 for a linear Couette profile. The solid curves are numerical solutions of the complete linear stability equations while the dashed curves are from the analytic approximation which neglects the perturbed flow field. The two solutions are in excellent agreement except at small wavenumbers. The current objective is to quantify flow-interface interactions for a range of processing conditions for solution growth; the extension to more complex physical models and nonlinear interface morphologies will be part of the ongoing research.
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