Ostroumov–Birikh solution of convection equations with nonlinear buoyancy force

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摘要

The thermodiffusion convection equations with nonlinear buoyancy force are studied. Some particular solutions for describing of thermoconcentration flows are found. Two boundary value problems are solved for thermal convection case. The comparison with the linear Oberbeck–Boussinesq model is given.

论文关键词：Exact solutions,Convection,Binary mixture,Thermodiffusion,One-layer and two-layer flows

论文评审过程：Available online 12 December 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.11.002