Heat and mass transfer in the heated from below free cylindrical elementary convection cell with a conical cavity bottom

The problem of thermal convection of a viscous incompressible fluid in a cylindrical elementary convective cell with a conical bottom and free boundary conditions is considered. Stokes' functions are built in a cylindrical free convective cell with plane boundaries and in the conical cavity bottom as well. The distribution model Stokes' streamlines temperature perturbations in a cylindrical elementary convective cell with a conical bottom and free boundary conditions are obtained based on the Fujiwhara effect.