Charge dissolution and heat and mass transfer during hydrothermal crystal growth with heat field rotation

Abstract

Analytical modeling of laminar thermal gravitational convection in a vertical porous cylinder of radius R and height H (R is much smaller than H) with a low-compressed fluid (a model of the charge-filled bottom part of autoclave) is performed by the Poincare method. Boundary thermal conditions of the first kind are set at the cylinder boundary. Along with the main thermal field (stationary, homogeneous along the azimuthal coordinate, and linear along the vertical; the temperature gradient is set at the top), an additional cyclically rotating azimuthal inhomogeneous thermal field is applied to the cylinder wall. Asymptotic representations of the temperature, velocity, and concentration fields in the porous layer are obtained in the criteria form. It is shown that applying an additional temperature field increases the charge dissolution rate without increasing the average temperature gradient.