Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded Cavity
In the present paper, the fluid flow and heat transfer of a nanofluid are numerically investigated. More specifically, reference is made to a nanofluid, described by means of Buongiorno’s model, subjected to Couette flow. The considered domain consists of a channel that displays a cavity shortly aft...
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MDPI AG
2022-08-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/12/15/7751 |
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| author | Eugenia Rossi di Schio Andrea Natale Impiombato Abderrahim Mokhefi Cesare Biserni |
| author_facet | Eugenia Rossi di Schio Andrea Natale Impiombato Abderrahim Mokhefi Cesare Biserni |
| author_sort | Eugenia Rossi di Schio |
| collection | DOAJ |
| description | In the present paper, the fluid flow and heat transfer of a nanofluid are numerically investigated. More specifically, reference is made to a nanofluid, described by means of Buongiorno’s model, subjected to Couette flow. The considered domain consists of a channel that displays a cavity shortly after the inlet section. The transport model for the nanofluid, that is the mass conservation, momentum, and nanoparticles equation, is written in a dimensionless form and solved by employing the software package Comsol Multiphysics. Many ideas emerged from this work: the visualization of the velocity stream function, the dimensionless temperature, and nanoparticle concentration fields are provided, as a function of the governing parameters: Reynolds, Peclet, Lewis, Brownian diffusivity number, and thermophoretic diffusivity number. Concerning the nanofluid typical effects, the thermophoretic diffusion seems to affect the solution much more than the Brownian diffusion. The Nusselt number on the upper wall is calculated as well, and the results show that it proves to be, in most of the considered cases, an increasing function of the Reynolds number. Moreover, concerning the Nusselt number, the Brownian diffusion effects are shown to be negligible. |
| first_indexed | 2024-03-09T12:46:34Z |
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| id | doaj.art-1a022b5222eb4bbaac8dfe8e0621ba87 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T12:46:34Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-1a022b5222eb4bbaac8dfe8e0621ba872023-11-30T22:11:04ZengMDPI AGApplied Sciences2076-34172022-08-011215775110.3390/app12157751Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded CavityEugenia Rossi di Schio0Andrea Natale Impiombato1Abderrahim Mokhefi2Cesare Biserni3Department of Industrial Engineering, Alma Mater Studiorum—University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyDepartment of Industrial Engineering, Alma Mater Studiorum—University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyMechanics, Modeling and Experimentation Laboratory L2ME, Faculty of Technology, Bechar University, B.P. 417, Bechar 08000, AlgeriaDepartment of Industrial Engineering, Alma Mater Studiorum—University of Bologna, Viale Risorgimento 2, 40136 Bologna, ItalyIn the present paper, the fluid flow and heat transfer of a nanofluid are numerically investigated. More specifically, reference is made to a nanofluid, described by means of Buongiorno’s model, subjected to Couette flow. The considered domain consists of a channel that displays a cavity shortly after the inlet section. The transport model for the nanofluid, that is the mass conservation, momentum, and nanoparticles equation, is written in a dimensionless form and solved by employing the software package Comsol Multiphysics. Many ideas emerged from this work: the visualization of the velocity stream function, the dimensionless temperature, and nanoparticle concentration fields are provided, as a function of the governing parameters: Reynolds, Peclet, Lewis, Brownian diffusivity number, and thermophoretic diffusivity number. Concerning the nanofluid typical effects, the thermophoretic diffusion seems to affect the solution much more than the Brownian diffusion. The Nusselt number on the upper wall is calculated as well, and the results show that it proves to be, in most of the considered cases, an increasing function of the Reynolds number. Moreover, concerning the Nusselt number, the Brownian diffusion effects are shown to be negligible.https://www.mdpi.com/2076-3417/12/15/7751nanofluidBongiorno’s modelCouette flowvortexforced convectionfinite element analysis |
| spellingShingle | Eugenia Rossi di Schio Andrea Natale Impiombato Abderrahim Mokhefi Cesare Biserni Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded Cavity Applied Sciences nanofluid Bongiorno’s model Couette flow vortex forced convection finite element analysis |
| title | Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded Cavity |
| title_full | Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded Cavity |
| title_fullStr | Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded Cavity |
| title_full_unstemmed | Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded Cavity |
| title_short | Theoretical and Numerical Study on Buongiorno’s Model with a Couette Flow of a Nanofluid in a Channel with an Embedded Cavity |
| title_sort | theoretical and numerical study on buongiorno s model with a couette flow of a nanofluid in a channel with an embedded cavity |
| topic | nanofluid Bongiorno’s model Couette flow vortex forced convection finite element analysis |
| url | https://www.mdpi.com/2076-3417/12/15/7751 |
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