The present paper is concerned with the modelling of the influence of the thermomechanical coupling on the
propagation of temperature waves (second sound) in superfluids. For an adequate heat transfer analysis in
superfluids, finite thermal wave speed must be considered. Besides hyperbolic heat transfer, turbulent flows
are generally observed despite the lost of internal friction. Due to the thermo-mechanical coupling, density
waves may induce moving heat sources or sinks while temperature waves propagate at a different and independent
speed. In particular, a rotational flow in this kind of fluid can strongly affect heat propagation. A general
procedure, developed within the framework of thermodynamics of irreversible processes, is proposed to obtain
constitutive relations that verify automatically the second law of thermodynamics and the principle of material
objectivity. Such a phenomenological continuum approach allows a rational identification of the terms responsible
for the thermomechanical coupling in the heat equation, which is a first step to better understand its influence on
the superfluid flow