Periodically kicked turbulence

Periodically kicked turbulence is theoretically analyzed within a mean-field theory. For large enough kicking strength A and kicking frequency f the Reynolds number grows exponentially and then runs into some saturation. The saturation level ${\mathrm{Re}}^{\mathrm{sat}}$ can be calculated analytically; different regimes can be observed. For large enough Re we find ${\mathrm{Re}}^{\mathrm{sat}}\propto Af,$ but intermittency can modify this scaling law. We suggest an experimental realization of periodically kicked turbulence to study the different regimes we theoretically predict and thus to better understand the effect of forcing on fully developed turbulence.