Motivated by new observations of solar surface how patterns of mesogranulat
ion, theoretical computations of the horizontal divergence-vorticity correl
ation are presented. Because of its close relation to the helicity in rotat
ing turbulence such observations and discussions are of particular importan
ce for the conventional dynamo theory. For the northern hemisphere we find
a small, but always negative, divergence-vorticity correlation. Both an ana
lytical Second Order Correlation Approximation for slow rotation as well as
a numerical simulation (originally done for accretion disks) for fast rota
tion yield very similar results.