The scientific interest and motivation for the investigation of Bethe-
Zel'dovich-Thompson (BZT) fluids follows from the fact that all the no
nclassical phenomena for these fluids occur for single phase standard
fluids in equilibrium when the perfect gas law is replaced by a more r
ealistic equation of state. Among others there are two most immediate
and interesting engineering applications for these fluids, as working
fluids in Rankine cycles of power systems and for proper design of fue
l injectors in typical automotive or aircraft engines. Here we study t
ransonic flows of BZT fluids and present exact solutions to the steady
, two-dimensional transonic small disturbance equation in the physical
and in the hodograph plane. The equations of the characteristics in t
he hodograph plane are obtained for the transonic small-disturbance eq
uation of the second-, third-, and fourth-order nonlinearity. The solu
tions for inviscid, shock-free, transonic vortex flow, Ringleb flow, s
ubsonic and sonic jets, and viscous radial flow are presented for BZT
fluids. (C) 1995 American Institute of Physics.