Turbulent Cascades and the alpha Dynamo

The well known mean-field model of a turbulence driven dynamo is reviewed in relation to Laboratory experiments in which a turbulent cascade is created by a pair of large rotors. It is argued that in such experiments the alpha-effect, driving a dynamo field, will be much less than the dissipative beta-effect. Consequently a mean field dynamo cannot be sustained. This conclusion is supported by recent measurements of the alpha and beta effects in the Madison Dynamo Experiment.