The dynamics of the structure of an infinite vortex tube in ideal gas under explosive external energy deposition near its axis is studied. With neglect of viscosity and heat conduction, it is discovered that the tube is destroyed under arbitrarily small power of energy release and the time of vortex destruction decreases as the total power of energy release increases. The physical model of the flow explaining the revealed relationships is constructed. The analytical relations assessing the problem parameters for the practical use of explosives in destruction of large-diameter vortices are obtained. The estimates show that the proposed method can be applied in practice.