Nonuniform convective Couette flow

Investigation of a velocity field for the Marangoni shear convection of a vertically swirling viscous incompressible fluid

“…In this paper, we consider new exact solutions for investigating the Marangoni convection of large-scale flows of vertically swirling fluids. The exact solutions presented in this paper generalize the results presented in [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26].…”

“…The exact solutions of the system of equations of thermal convection in the Boussinesq approximation are investigated in the article. The Oberbeck-Boussinesq system used to describe shear flows of a viscous incompressible fluid in the field of gravitational forces has the following form [11,27,28]:…”

“…These exact solutions can be used to simulate the equatorial countercurrents of the World Ocean. In [10,11] studies of the effects of horizontal pressure gradients on the structure of countercurrents for large-scale viscous incompressible fluid flows began. In [7][8][9][10][11] a linear distribution of the vertical twist over the thickness of the fluid layer was considered.…”

“…In [10,11] studies of the effects of horizontal pressure gradients on the structure of countercurrents for large-scale viscous incompressible fluid flows began. In [7][8][9][10][11] a linear distribution of the vertical twist over the thickness of the fluid layer was considered. That exact solution of the system of the Navier-Stokes equations was used for the exact integration of the Oberbeck-Boussinesq system [11].…”

“…In [7][8][9][10][11] a linear distribution of the vertical twist over the thickness of the fluid layer was considered. That exact solution of the system of the Navier-Stokes equations was used for the exact integration of the Oberbeck-Boussinesq system [11]. In this paper, we consider new exact solutions for investigating the Marangoni convection of large-scale flows of vertically swirling fluids.…”