In the present paper in the framework of the linear non-dissipative coupled thermoelasticity (GNII, hyperbolic thermoelasticity), treating the heat transport as propagation with finite speed of undamped waves of second sound, harmonic coupled thermoelastic waves propagating in an infinite free from tractions thermoisolated cylinder are studied. Dispersionrelation is derived for this type of thermoelastic waves for an arbitrary azimuthal order. Numerical results for wave numbers depending on frequency are obtained.
