2021
DOI: 10.1016/j.ijheatmasstransfer.2021.121098
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Thermal waves emitted by moving sources and the Doppler effect

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Cited by 11 publications
(6 citation statements)
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“…Here, we start by assuming that the propagated thermal field satisfies the plane wave solution T = T ( x , ω) e − i ω t + T 0 , where T ( x , ω), t , ω, and T 0 denotes the complex amplitude, time, oscillation frequency, and reference temperature, respectively. [ 40,41 ] Then the wavevector can be derived accordingly, which helps describe the evanescent characteristics of thermal waves. For v ≠ 0, the wavevector is split into k + and k − (Figure 1c), depending on whether it travels with or against the convection (Figure S1, Supporting Information).…”
Section: Resultsmentioning
confidence: 99%
“…Here, we start by assuming that the propagated thermal field satisfies the plane wave solution T = T ( x , ω) e − i ω t + T 0 , where T ( x , ω), t , ω, and T 0 denotes the complex amplitude, time, oscillation frequency, and reference temperature, respectively. [ 40,41 ] Then the wavevector can be derived accordingly, which helps describe the evanescent characteristics of thermal waves. For v ≠ 0, the wavevector is split into k + and k − (Figure 1c), depending on whether it travels with or against the convection (Figure S1, Supporting Information).…”
Section: Resultsmentioning
confidence: 99%
“…First, convection can change the heat transfer efficiency; second, convection exhibits a preference for heat flux direction; and finally, convection could carry oscillating temperature fields. By introducing convection, the original parabolic diffusion equation describing the macroscopic thermal conduction can be modified into the hyperbolic convection‐diffusion equation, [ 27 ] hence the temperature field carried by convection could imitate many physical phenomena in wave systems. Comprehensive understandings of these emerging works are indispensable for more advanced heat manipulation.…”
Section: Introductionmentioning
confidence: 99%
“…The structure of the paper is the following: in the second paragraph we will discuss an old question debated originally by Planck and Einstein concerning the general meaning of the temperature of a moving body [16]. In the third paragraph we will illustrate briefly a previous model [17], published few years ago, which discussed a thermal analogue of the Doppler effect. In the fourth paragraph we will show how to deduce a rotational frequency shift for thermal fields propagating on rotating conductors, identical to those observed with acoustic waves which proved the existence of Rotational Superradiance.…”
Section: Introductionmentioning
confidence: 99%