An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval Uncertainties
Nanofluids are regarded as an effective cooling medium with tremendous potential in heat transfer enhancement. In reality, nanofluids in microchannels are at the mercy of uncertainties unavoidably due to manufacturing error, dispersion of physical properties, and inconstant operating conditions. To...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/9/3/432 |
| _version_ | 1811270097655824384 |
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| author | Zhaoli Zheng Qi Jing Yonghui Xie Di Zhang |
| author_facet | Zhaoli Zheng Qi Jing Yonghui Xie Di Zhang |
| author_sort | Zhaoli Zheng |
| collection | DOAJ |
| description | Nanofluids are regarded as an effective cooling medium with tremendous potential in heat transfer enhancement. In reality, nanofluids in microchannels are at the mercy of uncertainties unavoidably due to manufacturing error, dispersion of physical properties, and inconstant operating conditions. To obtain a deeper understanding of forced convection of nanofluids in microchannels, uncertainties are suggested to be considered. This paper studies numerically the uncertain forced convection of Al<sub>2</sub>O<sub>3</sub>-water nanofluid laminar flow in a grooved microchannel. Uncertainties in material properties and geometrical parameter are considered. The uncertainties are represented by interval variables. By employing Chebyshev polynomial approximation, interval method (IM) is presented to estimate the uncertain thermal performance and flow behavior of the forced convection problem. The validation of the accuracy and effectiveness of IM are demonstrated by a comparison with the scanning method (SM). The variation of temperature, velocity, and Nusselt number are obtained under different interval uncertainties. The results show that the uncertainties have remarkable influences on the simulated thermal performance and flow behavior. |
| first_indexed | 2024-04-12T21:54:48Z |
| format | Article |
| id | doaj.art-25b9e64db1ed48ef9d9d1413fee91b27 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-04-12T21:54:48Z |
| publishDate | 2019-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-25b9e64db1ed48ef9d9d1413fee91b272022-12-22T03:15:21ZengMDPI AGApplied Sciences2076-34172019-01-019343210.3390/app9030432app9030432An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval UncertaintiesZhaoli Zheng0Qi Jing1Yonghui Xie2Di Zhang3MOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaMOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaMOE Key Laboratory of Thermo-Fluid Science and Engineering, School of Energy and Power Engineering, Xi’an Jiaotong University, Xi’an 710049, ChinaNanofluids are regarded as an effective cooling medium with tremendous potential in heat transfer enhancement. In reality, nanofluids in microchannels are at the mercy of uncertainties unavoidably due to manufacturing error, dispersion of physical properties, and inconstant operating conditions. To obtain a deeper understanding of forced convection of nanofluids in microchannels, uncertainties are suggested to be considered. This paper studies numerically the uncertain forced convection of Al<sub>2</sub>O<sub>3</sub>-water nanofluid laminar flow in a grooved microchannel. Uncertainties in material properties and geometrical parameter are considered. The uncertainties are represented by interval variables. By employing Chebyshev polynomial approximation, interval method (IM) is presented to estimate the uncertain thermal performance and flow behavior of the forced convection problem. The validation of the accuracy and effectiveness of IM are demonstrated by a comparison with the scanning method (SM). The variation of temperature, velocity, and Nusselt number are obtained under different interval uncertainties. The results show that the uncertainties have remarkable influences on the simulated thermal performance and flow behavior.https://www.mdpi.com/2076-3417/9/3/432Al<sub>2</sub>O<sub>3</sub>-water nanofluidmicrochannelconvection heart transferuncertaintyinterval analysisChebyshev polynomial approximation |
| spellingShingle | Zhaoli Zheng Qi Jing Yonghui Xie Di Zhang An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval Uncertainties Applied Sciences Al<sub>2</sub>O<sub>3</sub>-water nanofluid microchannel convection heart transfer uncertainty interval analysis Chebyshev polynomial approximation |
| title | An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval Uncertainties |
| title_full | An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval Uncertainties |
| title_fullStr | An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval Uncertainties |
| title_full_unstemmed | An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval Uncertainties |
| title_short | An Investigation on the Forced Convection of Al<sub>2</sub>O<sub>3</sub>-water Nanofluid Laminar Flow in a Microchannel Under Interval Uncertainties |
| title_sort | investigation on the forced convection of al sub 2 sub o sub 3 sub water nanofluid laminar flow in a microchannel under interval uncertainties |
| topic | Al<sub>2</sub>O<sub>3</sub>-water nanofluid microchannel convection heart transfer uncertainty interval analysis Chebyshev polynomial approximation |
| url | https://www.mdpi.com/2076-3417/9/3/432 |
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