Dynamics of phase transition including quark-fragment effects for an expansion quark-gluon plasma

(1+1) dimensional relativistic hydrodynamics equation with a source term including the quark-fragment effects is numerically solved and the evolution of the energy density, flow rapidity and baryon number density as the characteristic values of the phase transition which is possible to be produced in the nuclear collisions at extreme high energy are also analysed. The quark-fragment effects in the source term are described by using the phenomenal SU(3) string model with a flavor dynamics. The numerical results are compared with Kajantie's data. It illustrates indirectly that the results are in agreement with the experimental data. The physics picture of the model shows that this phenomenological self-consistent model is reasonable