Effect of Different Flows on the Shear Branding of a Liquid with a Non-Monotonic Flow Curve

Convective layered flows of a vertically whirling viscous incompressible fluid. Temperature field investigation

“…The resulting system consists of five scalar equations with respect to five unknowns, namely the components , , of the velocity vector V, pressure , and temperature . When considering a number of practically important flows belonging to the class of layered and shear (unidirectional and non-one-dimensional) flows, a problem arises related to the overdetermination of the Oberbeck-Boussinesq system since ≡ 0 for these flows [12][13][14][15][16][17][18][19][20][21][22][23][24][25]. One can resolve such an overdetermined system if, for example, one selects the projections of the velocity vector from a certain generalized class of exact solutions which allows one to satisfy the "unnecessary" equations [12-14, 16-19, 26, 27].…”