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Considering the Coulomb-hydrodynamic explosion induced by the interaction of a deuterium cluster target with an ultra-intensity femtosecond laser, we analyse the mechanism of generating energetic deuterium nuclei for the fusion. We propose formulae for expansions of deuterium ion cluster which are driven by Coulomb-hydrodynamic explosion. Hence the kinetic energies of deuterium nuclei, the expansion time and exploding efficiency of deuterium ion cluster have been estimated.