Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux
This numerical study was devoted to examining the occurrence of non-unique solutions in boundary layer flow due to deformable surfaces (cylinder and flat plate) with the imposition of prescribed surface heat flux. The hybrid Al2O3-Cu/water nanofluid was formulated using the single phase model with r...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020
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| Online Access: | http://umpir.ump.edu.my/id/eprint/30004/ http://umpir.ump.edu.my/id/eprint/30004/1/Hybrid%20nanofluid%20flow%20past%20a%20shrinking%20cylinder%20with%20prescribed.pdf |
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| author | Najiyah Safwa, Khasi’ie Iskandar, Waini Nurul Amira, Zainal Khairum, Hamzah Abdul Rahman, Mohd Kasim |
| author_facet | Najiyah Safwa, Khasi’ie Iskandar, Waini Nurul Amira, Zainal Khairum, Hamzah Abdul Rahman, Mohd Kasim |
| author_sort | Najiyah Safwa, Khasi’ie |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | This numerical study was devoted to examining the occurrence of non-unique solutions in boundary layer flow due to deformable surfaces (cylinder and flat plate) with the imposition of prescribed surface heat flux. The hybrid Al2O3-Cu/water nanofluid was formulated using the single phase model with respective correlations of hybrid nanofluids. The governing model was simplified by adopting a similarity transformation. The transformed differential equations were then numerically computed using the efficient bvp4c solver with the ranges of the control parameters 0.5%≤ϕ1,ϕ2≤1.5% (Al2O3 and Cu volumetric concentration), 0≤K≤0.2 (curvature parameter), 2.6<S≤3.2 (suction parameter) and −2.5<λ≤0.5 (stretching/shrinking parameter). Dual steady solutions are presentable for both a cylinder (K>0) and a flat plate (K=0) with the inclusion of only the suction (transpiration) parameter. The real and stable solutions were mathematically validated through the stability analysis. The Al2O3-Cu/water nanofluid with ϕ1=0.5% (alumina) and ϕ2=1.5% (copper) has the highest skin friction coefficient and heat transfer rate, followed by the hybrid nanofluids with volumetric concentrations (ϕ1=1%,ϕ2=1%) and (ϕ1=1.5%,ϕ2=0.5%), respectively. Surprisingly, the flat plate surface abates the separation of boundary layer while it enhances the heat transfer process. |
| first_indexed | 2025-11-15T02:56:43Z |
| format | Article |
| id | ump-30004 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T02:56:43Z |
| publishDate | 2020 |
| publisher | MDPI AG |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-300042022-06-21T01:41:04Z http://umpir.ump.edu.my/id/eprint/30004/ Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux Najiyah Safwa, Khasi’ie Iskandar, Waini Nurul Amira, Zainal Khairum, Hamzah Abdul Rahman, Mohd Kasim QA Mathematics This numerical study was devoted to examining the occurrence of non-unique solutions in boundary layer flow due to deformable surfaces (cylinder and flat plate) with the imposition of prescribed surface heat flux. The hybrid Al2O3-Cu/water nanofluid was formulated using the single phase model with respective correlations of hybrid nanofluids. The governing model was simplified by adopting a similarity transformation. The transformed differential equations were then numerically computed using the efficient bvp4c solver with the ranges of the control parameters 0.5%≤ϕ1,ϕ2≤1.5% (Al2O3 and Cu volumetric concentration), 0≤K≤0.2 (curvature parameter), 2.6<S≤3.2 (suction parameter) and −2.5<λ≤0.5 (stretching/shrinking parameter). Dual steady solutions are presentable for both a cylinder (K>0) and a flat plate (K=0) with the inclusion of only the suction (transpiration) parameter. The real and stable solutions were mathematically validated through the stability analysis. The Al2O3-Cu/water nanofluid with ϕ1=0.5% (alumina) and ϕ2=1.5% (copper) has the highest skin friction coefficient and heat transfer rate, followed by the hybrid nanofluids with volumetric concentrations (ϕ1=1%,ϕ2=1%) and (ϕ1=1.5%,ϕ2=0.5%), respectively. Surprisingly, the flat plate surface abates the separation of boundary layer while it enhances the heat transfer process. MDPI AG 2020-09-10 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/30004/1/Hybrid%20nanofluid%20flow%20past%20a%20shrinking%20cylinder%20with%20prescribed.pdf Najiyah Safwa, Khasi’ie and Iskandar, Waini and Nurul Amira, Zainal and Khairum, Hamzah and Abdul Rahman, Mohd Kasim (2020) Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux. Symmetry, 12 (9). pp. 1-18. ISSN 2073-8994. (Published) https://doi.org/10.3390/sym12091493 https://doi.org/10.3390/sym12091493 |
| spellingShingle | QA Mathematics Najiyah Safwa, Khasi’ie Iskandar, Waini Nurul Amira, Zainal Khairum, Hamzah Abdul Rahman, Mohd Kasim Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux |
| title | Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux |
| title_full | Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux |
| title_fullStr | Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux |
| title_full_unstemmed | Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux |
| title_short | Hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux |
| title_sort | hybrid nanofluid flow past a shrinking cylinder with prescribed surface heat flux |
| topic | QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/30004/ http://umpir.ump.edu.my/id/eprint/30004/ http://umpir.ump.edu.my/id/eprint/30004/ http://umpir.ump.edu.my/id/eprint/30004/1/Hybrid%20nanofluid%20flow%20past%20a%20shrinking%20cylinder%20with%20prescribed.pdf |