Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study
A local thermal non-equilibrium analysis of heat and fluid flow in a channel fully filled with aluminum foam is performed for three cases: (a) pore density of 5 PPI (pore per inch), (b) pore density of 40 PPI, and (c) two different layers of 5 and 40 PPI. The dimensionless forms of fully developed h...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/3/672 |
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| author | Sinem Donmus Moghtada Mobedi Fujio Kuwahara |
| author_facet | Sinem Donmus Moghtada Mobedi Fujio Kuwahara |
| author_sort | Sinem Donmus |
| collection | DOAJ |
| description | A local thermal non-equilibrium analysis of heat and fluid flow in a channel fully filled with aluminum foam is performed for three cases: (a) pore density of 5 PPI (pore per inch), (b) pore density of 40 PPI, and (c) two different layers of 5 and 40 PPI. The dimensionless forms of fully developed heat and fluid flow equations for the fluid phase and heat conduction equation for the solid phase are solved analytically. The effects of interfacial heat transfer coefficient and thermal dispersion conductivity are considered. Analytical expressions for temperature profile of solid and fluid phases, and also the channel Nusselt number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><msub><mi>u</mi><mi>H</mi></msub><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> are obtained. The obtained results are discussed in terms of the channel-based Reynolds number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><msub><mi>e</mi><mi>H</mi></msub><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> changing from 10 to 2000, and thickness ratio between the channel height and sublayers. The Nusselt number of the channel with 40 PPI is always greater than that of the 5 PPI channel. It is also greater than the channel with two-layer aluminum foams until a specific Reynolds number then the Nusselt number of the channel with two-layer aluminum foams becomes greater than the uniform channels due to the higher velocity in the outer region and considerable increase in thermal dispersion. |
| first_indexed | 2024-03-09T03:23:00Z |
| format | Article |
| id | doaj.art-f1074ed4ee5842caaa420e71ebfccc83 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T03:23:00Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-f1074ed4ee5842caaa420e71ebfccc832023-12-03T15:06:40ZengMDPI AGEnergies1996-10732021-01-0114367210.3390/en14030672Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical StudySinem Donmus0Moghtada Mobedi1Fujio Kuwahara2Graduate School of Integrated Science and Technology, Shizuoka University, 3-5-1 Johoku, Hamamatsu-shi 432-8561, JapanGraduate School of Integrated Science and Technology, Shizuoka University, 3-5-1 Johoku, Hamamatsu-shi 432-8561, JapanGraduate School of Integrated Science and Technology, Shizuoka University, 3-5-1 Johoku, Hamamatsu-shi 432-8561, JapanA local thermal non-equilibrium analysis of heat and fluid flow in a channel fully filled with aluminum foam is performed for three cases: (a) pore density of 5 PPI (pore per inch), (b) pore density of 40 PPI, and (c) two different layers of 5 and 40 PPI. The dimensionless forms of fully developed heat and fluid flow equations for the fluid phase and heat conduction equation for the solid phase are solved analytically. The effects of interfacial heat transfer coefficient and thermal dispersion conductivity are considered. Analytical expressions for temperature profile of solid and fluid phases, and also the channel Nusselt number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><msub><mi>u</mi><mi>H</mi></msub><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> are obtained. The obtained results are discussed in terms of the channel-based Reynolds number (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>R</mi><msub><mi>e</mi><mi>H</mi></msub><mo stretchy="false">)</mo></mrow></semantics></math></inline-formula> changing from 10 to 2000, and thickness ratio between the channel height and sublayers. The Nusselt number of the channel with 40 PPI is always greater than that of the 5 PPI channel. It is also greater than the channel with two-layer aluminum foams until a specific Reynolds number then the Nusselt number of the channel with two-layer aluminum foams becomes greater than the uniform channels due to the higher velocity in the outer region and considerable increase in thermal dispersion.https://www.mdpi.com/1996-1073/14/3/672forced convection heat transferporous mediaheat transfer enhancementanalytical solution |
| spellingShingle | Sinem Donmus Moghtada Mobedi Fujio Kuwahara Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study Energies forced convection heat transfer porous media heat transfer enhancement analytical solution |
| title | Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study |
| title_full | Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study |
| title_fullStr | Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study |
| title_full_unstemmed | Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study |
| title_short | Double-Layer Metal Foams for Further Heat Transfer Enhancement in a Channel: An Analytical Study |
| title_sort | double layer metal foams for further heat transfer enhancement in a channel an analytical study |
| topic | forced convection heat transfer porous media heat transfer enhancement analytical solution |
| url | https://www.mdpi.com/1996-1073/14/3/672 |
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