Transient non-Fourier thermal interactions of two parallel cracks in porous metal foam
Experimental evidence shows heat conduction in the porous media would be non-Fourier under specific circumstances. The novelty of this research lies in considerations of the non-Fourier effect and the interactions of two parallel thermally insulated cracks in the porous metal foam. The transient pro...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23005762 |
| _version_ | 1797729883939405824 |
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| author | San Zhang Ruchao Gao Zhijun Liu Zengtao Chen Wenzhi Yang |
| author_facet | San Zhang Ruchao Gao Zhijun Liu Zengtao Chen Wenzhi Yang |
| author_sort | San Zhang |
| collection | DOAJ |
| description | Experimental evidence shows heat conduction in the porous media would be non-Fourier under specific circumstances. The novelty of this research lies in considerations of the non-Fourier effect and the interactions of two parallel thermally insulated cracks in the porous metal foam. The transient propagation characteristics are examined by utilizing the Dual-phase-lag model, which incorporates the certain time required to establish local thermal equilibrium between the solid framework and surrounding pores. Fourier transform and Laplace transform are employed to solve the mathematical model simulating a porous strip subjected to abrupt thermal shock. After reducing the problem to two groups of singular integral equations, the transient temperature distributions and heat flux intensity factors are determined with the help of numerical Laplace inversion. Numerical calculations are carried out to evaluate the impacts of crack positions, the relative density, phase lags, and two crack lengths on the thermal characteristics, which would contribute to a thorough understanding of the ultrafast process of porous materials operating in extreme conditions. |
| first_indexed | 2024-03-12T11:36:07Z |
| format | Article |
| id | doaj.art-0c6b701c0b7446b1a863d5ffb13ddc26 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-12T11:36:07Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-0c6b701c0b7446b1a863d5ffb13ddc262023-09-01T05:01:39ZengElsevierCase Studies in Thermal Engineering2214-157X2023-09-0149103270Transient non-Fourier thermal interactions of two parallel cracks in porous metal foamSan Zhang0Ruchao Gao1Zhijun Liu2Zengtao Chen3Wenzhi Yang4School of Automation, Xi'an University of Posts & Telecommunications, Xi'an, ChinaCCCC Second Harbor Engineering Company Ltd, Wuhan, ChinaCollege of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, ChinaDepartment of Mechanical Engineering, University of Alberta, Edmonton, CanadaCollege of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, China; Corresponding author.Experimental evidence shows heat conduction in the porous media would be non-Fourier under specific circumstances. The novelty of this research lies in considerations of the non-Fourier effect and the interactions of two parallel thermally insulated cracks in the porous metal foam. The transient propagation characteristics are examined by utilizing the Dual-phase-lag model, which incorporates the certain time required to establish local thermal equilibrium between the solid framework and surrounding pores. Fourier transform and Laplace transform are employed to solve the mathematical model simulating a porous strip subjected to abrupt thermal shock. After reducing the problem to two groups of singular integral equations, the transient temperature distributions and heat flux intensity factors are determined with the help of numerical Laplace inversion. Numerical calculations are carried out to evaluate the impacts of crack positions, the relative density, phase lags, and two crack lengths on the thermal characteristics, which would contribute to a thorough understanding of the ultrafast process of porous materials operating in extreme conditions.http://www.sciencedirect.com/science/article/pii/S2214157X23005762Dual-phase-lag modelCrackFourier transformLaplace transformSingular integral equationsPorous material |
| spellingShingle | San Zhang Ruchao Gao Zhijun Liu Zengtao Chen Wenzhi Yang Transient non-Fourier thermal interactions of two parallel cracks in porous metal foam Case Studies in Thermal Engineering Dual-phase-lag model Crack Fourier transform Laplace transform Singular integral equations Porous material |
| title | Transient non-Fourier thermal interactions of two parallel cracks in porous metal foam |
| title_full | Transient non-Fourier thermal interactions of two parallel cracks in porous metal foam |
| title_fullStr | Transient non-Fourier thermal interactions of two parallel cracks in porous metal foam |
| title_full_unstemmed | Transient non-Fourier thermal interactions of two parallel cracks in porous metal foam |
| title_short | Transient non-Fourier thermal interactions of two parallel cracks in porous metal foam |
| title_sort | transient non fourier thermal interactions of two parallel cracks in porous metal foam |
| topic | Dual-phase-lag model Crack Fourier transform Laplace transform Singular integral equations Porous material |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23005762 |
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