Compressible flow in channels of slowly varying cross section at moder
ately high Reynolds numbers is treated in the paper by employing some
Stewartson-type transformations that convert the problem into an incom
pressible one. Both adiabatic flow and isothermal flow are considered,
and a Poiseuille-type incompressible solution is mapped onto compress
ible plane in order to generate some exact solutions of the compressib
le governing equations. The results show striking effects that viscosi
ty may have upon the flow characteristics in this case, in comparison
with more conventional high Reynolds number flows.