The problem of second sound propagation within the Poiseuille dow regi
me is considered conformably to the idealized model of an anharmonic d
ielectric crystal. In the framework of this model the mechanism of hea
t conduction is purely convective and obeys the variety of Eulerian eq
uation for nonviscous phonon fluids. A set of equations to describe pr
opagation of small perturbations in phonon flux is obtained For the ca
se of periodic motion the set reduces to wave equations featuring the
parametric dependence on phonon fluid velocity. The expression for the
phase velocity predicts a drift of reverse temperature wave by heat f
lux. The feasibility of this result to serve as a ground for experimen
tal verification of wave equation is discussed.