Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink
An engineered fluid, called nanofluid, is expected to have better thermal conductivity than conventional working fluids. The superior heat transfer performance and various possible applications promote the analysis of nanofluids in different flow geometries. This paper studies the flow of non-Newton...
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MDPI AG
2022-05-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/9/1580 |
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| author | Rusya Iryanti Yahaya Norihan Md Arifin Ioan Pop Fadzilah Md Ali Siti Suzilliana Putri Mohamed Isa |
| author_facet | Rusya Iryanti Yahaya Norihan Md Arifin Ioan Pop Fadzilah Md Ali Siti Suzilliana Putri Mohamed Isa |
| author_sort | Rusya Iryanti Yahaya |
| collection | DOAJ |
| description | An engineered fluid, called nanofluid, is expected to have better thermal conductivity than conventional working fluids. The superior heat transfer performance and various possible applications promote the analysis of nanofluids in different flow geometries. This paper studies the flow of non-Newtonian Burgers’ nanofluids over a permeable stretching/shrinking surface with a heat source/sink. In the current study, we highlight the use of the single-phase nanofluid model in studying the boundary layer flow. The basic partial differential equations are transformed into ordinary (similarity) differential equations. Then, the resulting equations and boundary conditions are solved numerically in MATLAB using the bvp4c package. Triple solutions are presented, and stability analysis certifies that the first solution is physically realizable in practice. It is found that the increment of the heat source parameter raised the temperature profile of the nanofluids. Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O and Cu/H<sub>2</sub>O nanofluids produced the highest skin friction coefficient in the flow over stretching and shrinking surfaces, respectively. Meanwhile, Cu/H<sub>2</sub>O nanofluid showed a better heat transfer performance when compared to Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O and TiO<sub>2</sub>/H<sub>2</sub>O nanofluids. The present study is novel and could serve as a reference to other researchers for further analysis of heat transfer performance and the rheological behavior of nanofluids. |
| first_indexed | 2024-03-10T03:55:56Z |
| format | Article |
| id | doaj.art-ce1d8f63c870404188cbc0ae35a4dc99 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:55:56Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ce1d8f63c870404188cbc0ae35a4dc992023-11-23T08:46:28ZengMDPI AGMathematics2227-73902022-05-01109158010.3390/math10091580Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/SinkRusya Iryanti Yahaya0Norihan Md Arifin1Ioan Pop2Fadzilah Md Ali3Siti Suzilliana Putri Mohamed Isa4Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaInstitute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaDepartment of Mathematics, Babeş-Bolyai University, R-400084 Cluj-Napoca, RomaniaInstitute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaCentre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, Serdang 43400, Selangor, MalaysiaAn engineered fluid, called nanofluid, is expected to have better thermal conductivity than conventional working fluids. The superior heat transfer performance and various possible applications promote the analysis of nanofluids in different flow geometries. This paper studies the flow of non-Newtonian Burgers’ nanofluids over a permeable stretching/shrinking surface with a heat source/sink. In the current study, we highlight the use of the single-phase nanofluid model in studying the boundary layer flow. The basic partial differential equations are transformed into ordinary (similarity) differential equations. Then, the resulting equations and boundary conditions are solved numerically in MATLAB using the bvp4c package. Triple solutions are presented, and stability analysis certifies that the first solution is physically realizable in practice. It is found that the increment of the heat source parameter raised the temperature profile of the nanofluids. Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O and Cu/H<sub>2</sub>O nanofluids produced the highest skin friction coefficient in the flow over stretching and shrinking surfaces, respectively. Meanwhile, Cu/H<sub>2</sub>O nanofluid showed a better heat transfer performance when compared to Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O and TiO<sub>2</sub>/H<sub>2</sub>O nanofluids. The present study is novel and could serve as a reference to other researchers for further analysis of heat transfer performance and the rheological behavior of nanofluids.https://www.mdpi.com/2227-7390/10/9/1580Burgers’ nanofluidpermeable surfaceheat source/sinknumerical results |
| spellingShingle | Rusya Iryanti Yahaya Norihan Md Arifin Ioan Pop Fadzilah Md Ali Siti Suzilliana Putri Mohamed Isa Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink Mathematics Burgers’ nanofluid permeable surface heat source/sink numerical results |
| title | Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink |
| title_full | Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink |
| title_fullStr | Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink |
| title_full_unstemmed | Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink |
| title_short | Steady Flow of Burgers’ Nanofluids over a Permeable Stretching/Shrinking Surface with Heat Source/Sink |
| title_sort | steady flow of burgers nanofluids over a permeable stretching shrinking surface with heat source sink |
| topic | Burgers’ nanofluid permeable surface heat source/sink numerical results |
| url | https://www.mdpi.com/2227-7390/10/9/1580 |
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