Three-dimensional conjugate natural convection in a vertical cylinder under heat transfer to the surroundings

Unsteady three-dimensional conjugate natural convection in a closed vertical cylinder with a local energy source under convective heat transfer to its surroundings is mathematically modeled in the "vector potential-velocity vorticity-temperature" variables. The temperature and velocity fields, together with the dependences of the mean Nusselt number at the energy source surface on a complex of the governing parameters controlling the formation of different regimes of mass, momentum, and energy transfer, are obtained.