Power loss density of electromagnetic waves in unimolecular reactions

Liao, Yunmao; Zhang, Sanmei; Tang, Zhengming; Liu, Xinpeng

doi:10.1039/c7ra01906h

Cited by 12 publications

(4 citation statements)

References 22 publications

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“…Specifically, the term

on the right-hand side denotes the power converted into local entropy production by electro-thermal coupling, which corresponds to the transient power-loss-density of electromagnetic waves in the reactions reported by Liao et al [ 17 ].…”

Section: The Heat Flow and Polarization Current Of Microwave Heating ...mentioning

confidence: 99%

Degree of Coupling in Microwave-Heating Polar-Molecule Reactions

Liu¹,

Huang

Yang³

2023

Molecules

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Microwave-assisted chemical reactions have been widely used, but the overheating effect limits further applications. The aim of this paper is to investigate the coupling degree of the electromagnetic field and thermal field in microwave-heating chemical reactions whose polarization changes as the reactions proceed. First, the entropy-balance equation of microwave-heating polar-molecule reactions is obtained. Then, the coupling degree of the electromagnetic field and the thermal field in microwave-heating polar-molecule reactions is derived, according to the entropy-balance equation. Finally, the effects of reaction processes on the degree of coupling are discussed. When the time scale of the component-concentration variation is much greater than the wave period during the chemical processes, the degree of coupling is sufficiently small, and the electric and thermal fields are considered as weakly coupled. On the other hand, the degree of coupling may change during the reactions. If the absolute value of the coupling degree becomes larger, due to the change in component concentration, this will lead to a transition from weak coupling to strong coupling.

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“…Specifically, the term

Section: The Heat Flow and Polarization Current Of Microwave Heating ...mentioning

confidence: 99%

Degree of Coupling in Microwave-Heating Polar-Molecule Reactions

Liu¹,

Huang

Yang³

2023

Molecules

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“…Although the frequency analysis method [11] provides an effective way to estimate the dissipation of electromagnetic energy in the industrial field, the cumbersome method cannot describe the dynamic characteristics in transient state. Especially in the microwave chemistry field, the permittivity is always temperature-dependent and frequency-dependent [12] until the reactions reach equilibrium. Obviously, it is possibly inappropriate for the classical frequency or time-frequency domain model to describe the transient mechanism between the electromagnetic field and Debye media.…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of power loss density with time-harmonic electromagnetic waves in Debye media

et al. 2021

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Due to the complex permittivity, it is difficult to directly clarify the transient mechanism between electromagnetic waves and Debye media. To overcome the above problem, the temporal relationship between the electromagnetic waves and permittivity is explicitly derived by applying the Fourier inversion and introducing the remnant displacement. With the help of the Poynting theorem and energy conservation equation, the transient power loss density is derived to describe the transient dissipation of electromagnetic field and the mechanism on phase displacement has been explicitly revealed. Besides, the unique solution can be obtained by applying the time-domain analysis method rather than involving the frequency-domain characteristics. The effectiveness of transient analysis is demonstrated by giving a comparison simulation on one-dimensional example.

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“…To the best of our knowledge, there has been little discussion on the reflection and transmission of EMWs in chemical reactions. The reason for the rare investigations might be that the electromagnetic properties of chemical reactions are extraordinarily complicated (Liao et al , 2017). Based on the modified Smoluchowski–Debye equation, the polarization expression of polar-molecule reactions has been derived theoretically.…”

Section: Introductionmentioning

confidence: 99%

Temporal reflection of electromagnetic waves in simple polar-molecule reactions

Liu

Yan

2019

COMPEL

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Purpose The purpose of this paper is to present the temporal reflection of electromagnetic waves (EMWs) in simple polar-molecule reactions whose polarization changes with the proceeding of the reactions. Design/methodology/approach At a temporal boundary, based on the continuity of the electric displacement and magnetic induction, the reflected condition of EMWs is obtained, and the expression of the transmission and reflection coefficients in the reactions is derived. Subsequently, a one-dimensional model is used to validate the reflected condition and expression. Findings If the time scale of the component concentration variation is greater than the wave period, the polarization of the reactions at a temporal boundary is continuous. The reflection does not happen. On the other hand, when the time scale of the component concentration variation is smaller than the wave period, the polarization is not continuous at a temporal boundary. The impedance of the reactions at the temporal boundary changes and the reflection occurs. Originality/value The results may be helpful in disclosing the non-uniform distribution of EMWs in chemical reactions.

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Power loss density of electromagnetic waves in unimolecular reactions

Abstract: Microwave-assisted chemical reactions have been widely used, but the mechanism is still unclear, which limits further applications.

Cited by 12 publications

References 22 publications

Degree of Coupling in Microwave-Heating Polar-Molecule Reactions

Degree of Coupling in Microwave-Heating Polar-Molecule Reactions

Transient analysis of power loss density with time-harmonic electromagnetic waves in Debye media

Temporal reflection of electromagnetic waves in simple polar-molecule reactions

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