The paper deals with the analysis of stable thermo-solutal dendritic
growth in the presence of intense convection. The n-fold symmetry of
crystalline anisotropy as well as the two- and three-dimensional growth
geometries are considered. The steady-state analytical solutions are
found with allowance for the convective-type heat and mass exchange
boundary conditions at the dendritic surface. A linear morphological
stability analysis determining the marginal wavenumber is carried out.
The new stability criterion is derived from the solvability theory and
stability analysis. This selection criterion takes place in the regions
of small undercooling. To describe a broader undercooling diapason, the
obtained selection criterion, which describes the case of intense
convection, is stitched together with the previously known selection
criterion for the conductive-type boundary conditions. It is
demonstrated that the stitched selection criterion well describes a
broad diapason of experimental undercoolings.