  We propose a novel family of equations of state for symmetric nuclear matter
based on the induced surface tension concept for the hard-core repulsion. It is
shown that having only four adjustable parameters the suggested equations of
state can, simultaneously, reproduce not only the main properties of the
nuclear matter ground state, but the proton flow constraint up its maximal
particle number densities. Varying the model parameters we carefully examine
the range of values of incompressibility constant of normal nuclear matter and
its critical temperature which are consistent with the proton flow constraint.
This analysis allows us to show that the physically most justified value of
nuclear matter critical temperature is 15.5-18 MeV, the incompressibility
constant is 270-315 MeV and the hard-core radius of nucleons is less than 0.4
fm.
