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We study the dynamical appearance of scaling solutions in relativistichydrodynamics. The phase transition effects are included through thetemperature dependent sound velocity. If a pre-equilibrium transverse flow isincluded in the initial conditions, then it may reach the form of theasymptotic Hubble flow, r/t, in short evolution times, 7-15 fm. The numericalsolutions are found to support to the freeze-out models (Blast-Wave, Buda-Lund,Cracow).Comment: 4 pages, 6 Postscript figures, uses hiph-preprint.sty, contribution  to the Quark Matter 2005 poster proceedings. Minor stylistic correction

Hubble-like Flows in Relativistic Heavy-Ion Collisions