A solution of the momentum equation in the outer fluid core of the Ear
th is obtained, in presence of inner solid core which includes its rot
ation rate. It is proposed to use this solution for development of a c
omputer program for numerical solution of the generation problem. An a
dvantage of such a scheme, which distinguishes explicitly the boundary
layers, should be the increased speed of calculations and smaller val
ues of the Ekman number, We believe that the expressions for the merid
ional convection obtained here will induce development of a model of t
he mass-transfer in the core. This would allow to give up the model wi
th prescribed Archimedean velocity, used widely nowadays, in favor of
more realistic models in which the latter is a result of the solution
of the problem.