Analyze two-dimensional heat transfer of ultrafast laser heated thin films under siz effects

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci220819043m

Yudong Mao, Guochen Zhao, Mingzhi Yu, Xianzheng Wang, Jin Li, Kaimin Yang, Shouyu Liu

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Abstract

An improved dual-phase-lagging (DPL) model which reflects size effects caused by nanostructures is utilized to investigate the two-dimensional thermal conduction of nano silicon films irradiated by ultrafast laser. The integral transformation method is used to solve the conduction governing equation based on the improved DPL model. The variation of the internal temperature along the thickness direction and the radial direction of the thin film is analyzed. We find that the temperature increases rapidly in the heated region of the film, and as time goes by, the energy travels from the heated end to another end in a form of wave. Although both the improved DPL model and the DPL model can obtain similar thermal wave temperature fields, the temperature distribution in the film obtained by the improved DPL model is relatively flat, especially for high Knudsen number. Under the same Knudsen number, the temperature obtained by the two-dimensional improved DPL model is higher than that obtained by the one-dimensional model, and the temperature difference becomes larger and larger as time elapses.

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分析了尺寸效应下超快激光加热薄膜的二维传热特性

利用改进的反映纳米结构尺寸效应的双相滞后(DPL)模型，研究了超快激光辐照下纳米硅薄膜的二维热传导。在改进的DPL模型的基础上，采用积分变换法求解导电控制方程。分析了薄膜内部温度沿厚度方向和径向的变化规律。我们发现在薄膜的受热区温度迅速升高，并且随着时间的推移，能量以波的形式从受热端传播到另一端。虽然改进DPL模型和DPL模型都能得到相似的热波温度场，但改进DPL模型得到的膜内温度分布相对平坦，特别是在高Knudsen数时。在相同的Knudsen数下，二维改进DPL模型得到的温度高于一维模型得到的温度，并且随着时间的推移，温差越来越大。

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.