MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with Nanofluids
MHD free convection inside a triangular-wave-shaped corrugated porous cavity with Cu-water nanofluid is numerically studied with the finite element method. The influences of the Grashof number (<inline-formula> <math display="inline"> <semantics> <mrow> <msup>...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/20/11/846 |
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| author | Ali J. Chamkha Fatih Selimefendigil |
| author_facet | Ali J. Chamkha Fatih Selimefendigil |
| author_sort | Ali J. Chamkha |
| collection | DOAJ |
| description | MHD free convection inside a triangular-wave-shaped corrugated porous cavity with Cu-water nanofluid is numerically studied with the finite element method. The influences of the Grashof number (<inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mn>10</mn> <mn>4</mn> </msup> <mo>≤</mo> <mi>Gr</mi> <mo>≤</mo> <msup> <mn>10</mn> <mn>6</mn> </msup> </mrow> </semantics> </math> </inline-formula>), Hartmann number (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>0</mn> <mo>≤</mo> <mi>Ha</mi> <mo>≤</mo> <mn>50</mn> </mrow> </semantics> </math> </inline-formula>), Darcy number (<inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>4</mn> </mrow> </msup> <mo>≤</mo> <mi>Da</mi> <mspace width="3.33333pt"></mspace> <mo>≤</mo> <mspace width="3.33333pt"></mspace> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula>) and solid volume fraction of the nanoparticle (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>0</mn> <mo>≤</mo> <mi>ϕ</mi> <mo>≤</mo> <mn>0.05</mn> </mrow> </semantics> </math> </inline-formula>) on the convective flow features are examined. It is observed that increasing the Grashof number and Darcy number enhances the heat transfer, while the effect is opposite for the Hartmann number. As the corrugation frequency of the triangular wave increases, the local and averaged heat transfer rates decrease, which is more effective for higher values of Grashof and Darcy numbers. Normalized total entropy generation increases as the Darcy number and solid volume fraction of the nanoparticles increase and decreases as the Hartmann number increases both for flat and corrugated wall configurations. |
| first_indexed | 2024-04-11T22:51:31Z |
| format | Article |
| id | doaj.art-303dd029be6e4d3784129f059ead1ff6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:51:31Z |
| publishDate | 2018-11-01 |
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| spelling | doaj.art-303dd029be6e4d3784129f059ead1ff62022-12-22T03:58:33ZengMDPI AGEntropy1099-43002018-11-01201184610.3390/e20110846e20110846MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with NanofluidsAli J. Chamkha0Fatih Selimefendigil1Mechanical Engineering Department, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Saudi ArabiaDepartment of Mechanical Engineering, Celal Bayar University, Manisa 45140, TurkeyMHD free convection inside a triangular-wave-shaped corrugated porous cavity with Cu-water nanofluid is numerically studied with the finite element method. The influences of the Grashof number (<inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mn>10</mn> <mn>4</mn> </msup> <mo>≤</mo> <mi>Gr</mi> <mo>≤</mo> <msup> <mn>10</mn> <mn>6</mn> </msup> </mrow> </semantics> </math> </inline-formula>), Hartmann number (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>0</mn> <mo>≤</mo> <mi>Ha</mi> <mo>≤</mo> <mn>50</mn> </mrow> </semantics> </math> </inline-formula>), Darcy number (<inline-formula> <math display="inline"> <semantics> <mrow> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>4</mn> </mrow> </msup> <mo>≤</mo> <mi>Da</mi> <mspace width="3.33333pt"></mspace> <mo>≤</mo> <mspace width="3.33333pt"></mspace> <msup> <mn>10</mn> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> </semantics> </math> </inline-formula>) and solid volume fraction of the nanoparticle (<inline-formula> <math display="inline"> <semantics> <mrow> <mn>0</mn> <mo>≤</mo> <mi>ϕ</mi> <mo>≤</mo> <mn>0.05</mn> </mrow> </semantics> </math> </inline-formula>) on the convective flow features are examined. It is observed that increasing the Grashof number and Darcy number enhances the heat transfer, while the effect is opposite for the Hartmann number. As the corrugation frequency of the triangular wave increases, the local and averaged heat transfer rates decrease, which is more effective for higher values of Grashof and Darcy numbers. Normalized total entropy generation increases as the Darcy number and solid volume fraction of the nanoparticles increase and decreases as the Hartmann number increases both for flat and corrugated wall configurations.https://www.mdpi.com/1099-4300/20/11/846MHD free convectionporous mediumnanofluidsecond lawfinite element method |
| spellingShingle | Ali J. Chamkha Fatih Selimefendigil MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with Nanofluids Entropy MHD free convection porous medium nanofluid second law finite element method |
| title | MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with Nanofluids |
| title_full | MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with Nanofluids |
| title_fullStr | MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with Nanofluids |
| title_full_unstemmed | MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with Nanofluids |
| title_short | MHD Free Convection and Entropy Generation in a Corrugated Cavity Filled with a Porous Medium Saturated with Nanofluids |
| title_sort | mhd free convection and entropy generation in a corrugated cavity filled with a porous medium saturated with nanofluids |
| topic | MHD free convection porous medium nanofluid second law finite element method |
| url | https://www.mdpi.com/1099-4300/20/11/846 |
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