The Chaplygin's equation is generalized for the steady flow in two dimensio
ns, with the plasma considered to be compressible, radiative and relativist
ic. Some solutions of this equation are considered for several kinds of pla
smas. This includes the relativistic as well as the nonrelativistic tempera
ture, strong and weak magnetic fields, and thermal radiation. For such flow
s the relativistic Bernolli's equation is derived. For all cases the limiti
ng lines are derived We have shown that the maximum velocity and the critic
al (limiting) velocity of the supersonic how strongly depend on the tempera
ture, magnetic field and radiation.