In this paper, a new model based on Eringen's nonlocal thermoelasticity is constructed to study wave propagation in a rotating two-temperature thermoelastic medium. Using suitable non-dimensional variables, the harmonic wave analysis is used to solve the problem. Comparisons are made with the results of three different theories predicted in the absence and presence of the gravity field, a nonlocal parameter as well as rotation. The present study is valuable for the analysis of thermoelastic problems involving gravity field, nonlocality, mechanical force, and elastic deformations.

The model of two-dimensional plane waves is studied in a generalized micropolar-thermoelastic medium with microtemperatures in the three-phase-lag model (3PHL), dual-phase-lag model (Dual), and the Green-Naghdi theory with energy dissipation (G-N III). Harmonic representation of waves is used to find the solution to the problem. Numerical values of the physical fields are visualized graphically to display the effects of the gravity field magnetic field, and viscosity.