In view of the Turbulent Cooling Flows scenario we carry out several 3D axi
symmetric calculations to follow the evolution of magnetically subcritical
weakly ionized and rotating turbulent cloud cores. Turbulent Cooling Flows
appear to pronounce the effects of ambipolar diffusion considerably, induci
ng thereby a runaway collapse of the core already on a diluted free-fall ti
me scale. Ambipolar diffusion significantly weakens the efficiency of magne
tic braking. This implies that most of the rotational energy is trapped int
o the dynamically collapsing core and that initiation of outflows is preven
ted at least in the early isothermal phases. The trapped rotational energy
is found to enhance the formation of rings that may afterwards fragment. It
is shown that the central region of a strongly ionized magnetically subcri
tical core is principally overdense, with central density up to one order o
f magnitude larger than the surroundings. These results confirm that large
scale magnetic fields threading a cloud core relax the supersonic random mo
tions on an Alfven wave crossing time. Moreover, ambipolar diffusion enhanc
es dissipation of supersonic turbulence even more. (C) 2000 Elsevier Scienc
e B.V. All rights reserved.