Shen, J.Y. and Zhang, X.H. (2022) Analysis of Dual-Phase-Lag Heat Conduction in a Two-Dimensional Slab Heated by a Moving Annular Laser Pulse. Applied Mathematical Modelling, 105, 160-178.
https://doi.org/10.1016/j.apm.2021.12.024

has been cited by the following article:

• TITLE: A Thermal Analogue of the Zel’Dovich Effect

  AUTHORS: Gianpaolo Bei

  KEYWORDS: Anisotropic Heat Diffusion, Chiral Spinning Thermal Waves, Heat Vortex Beams, Thermal Doppler Effect, Thermal Zel’dovich Effect, Thermal Polarization Vector, Rotation Induced Tolman Cooling Effect

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.12, December 26, 2023

  ABSTRACT: We analyze in this work anisotropic heat conduction induced by a harmonically oscillating laser source incident on rotating conductors, exploiting an analogy with an effect discovered long ago, called the Zel’dovich effect. We re-covered the main results of a recently published paper that predicts the translational Doppler frequency shift of a thermal wave induced on a sample moving with uniform rectilinear motion. We extend then this framework to take into account the frequency shift of a thermal field propagating on a rotating platform. We show that it coincides with the rotational frequency shift which has been recently observed on surface acoustic waves and hydrodynamic surface waves, called rotational superradiance. Finally, we use an analogy with the Tolman effect to deduce a simple estimate of the average temperature gradient induced by rotation, showing the existence of a new cooling effect associated with heat torque transfer.