Large-scale convection flow of an incompressible fluid on a rotating inclined plane

Analytical solutions of the stationary shear convective flow of a rotating viscous incompressible fluid are obtained in this paper. The fluid flow is described by the Oberbeck-Boussinesq equations taking into account two Coriolis parameters. The velocity field is determined by the exact Eckman solution. The temperature field and the pressure field depend linearly on the longitudinal coordinates. The boundary value problem for a system of ordinary nonlinear differential equations is obtained after substitution in the original equations, the solution being obtained analytically. The solutions are analyzed. The effect of the second Coriolis parameter on the background pressure is shown.