A new class of exact solutions of the Oberbeck–Boussinesq equations is constructed to describe diffusion convective flows of incompressible media taking into account mass forces, concentration sources (sinks), and Joule’s dissipation. The velocity field is described by quadratic forms with respect to two spatial coordinates. The announced exact solution generalizes the class of Lin–Sidorov–Aristov exact solutions. The solute concentration, pressure, and mass force field are described by nonlinear fourth-degree forms.
Exact Solutions to the Navier–Stokes Equations with the Boussinesq Approximation for Describing Binary Fluid Flows
Russ. Aeronaut.
Russian Aeronautics ; 66 , 3 ; 500-509
2023-08-01
10 pages
Article (Journal)
Electronic Resource
English
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