Fractional dual-phase-lag heat conduction with periodic heating and photothermal response

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci230201086s

A. Somer, A. Novatski, M. Lenzi, S. Da, E. Lenzi

引用次数: 0

Abstract

We apply an extension of dual-phase lag in thermal systems to predict the photoacoustic (PA) signal for transmission configuration and characteristics of the Open Photoacoustic Cell (OPC) technique. For this, we consider a particular case from Jeffrey?s equation as an extension of the generalized Cattaneo equations (GCEs). In this context, we obtain the temperature distribution under the effects of fractional differential operators, allowing the calculation of the Photoacoustic signal for the transmission setup. The results show a rich class of behaviors related to the anomalous diffusion connected to these fractional operators.

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具有周期性加热和光热响应的分数双相滞后热传导

我们应用热系统中双相位滞后的扩展来预测光声(PA)信号的传输结构和开放光声电池(OPC)技术的特性。为此，我们考虑杰弗里?s方程作为广义Cattaneo方程(gce)的推广。在这种情况下，我们获得了分数阶微分算子作用下的温度分布，从而可以计算传输设置的光声信号。结果显示了一类丰富的与这些分数算子的反常扩散有关的行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.