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A particulate medium model is considered. The viscosity is assumed to depend on concentration through the general empirical formula. The onset of convection in moderately high concentrated colloidal suspensions layer is investigated and the threshold conditions for the convection onset are obtained. A weakly nonlinear stability analysis is conducted and a nonlinear evolution partial differential equation is derived. The Poincar -Lindstedt method is applied to obtain a uniformly valid periodic solution to the sought evolution equation. A full asymptotic analysis is performed and our findings is compared with the results obtained by different models. Some numerical simulations are presented.
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Mahmoud H. DarAssi (2017) studied this question.
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