Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet
A stagnation-point flow of a Powell–Eyring nanofluid along a vertical stretching surface is examined. The buoyancy force effect due to mixed convection is taken into consideration along with the Brownian motion and thermophoresis effect. The flow is investigated under active and passive controls of...
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| Formato: | Artigo |
| Idioma: | English |
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MDPI AG
2021-02-01
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| Colecção: | Mathematics |
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| Acesso em linha: | https://www.mdpi.com/2227-7390/9/4/364 |
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| author | Nadhirah Abdul Halim Noor Fadiya Mohd Noor |
| author_facet | Nadhirah Abdul Halim Noor Fadiya Mohd Noor |
| author_sort | Nadhirah Abdul Halim |
| collection | DOAJ |
| description | A stagnation-point flow of a Powell–Eyring nanofluid along a vertical stretching surface is examined. The buoyancy force effect due to mixed convection is taken into consideration along with the Brownian motion and thermophoresis effect. The flow is investigated under active and passive controls of nanoparticles at the surface. The associating partial differential equations are converted into a set of nonlinear, ordinary differential equations using similarity conversions. Then, the equations are reduced to first-order differential equations before further being solved using the shooting method and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mi>v</mi><mi>p</mi><mn>4</mn><mi>c</mi></mrow></semantics></math></inline-formula> function in MATLAB. All results are presented in graphical and tabular forms. The buoyancy parameter causes the skin friction coefficient to increase in opposing flows but to decrease in assisting flows. In the absence of buoyancy force, there is no difference in the magnitude of the skin friction coefficient between active and passive controls of the nanoparticles. Stagnation has a bigger influence under passive control in enhancing the heat transfer rate as compared to when the fluid is under active control. Assisting flows have better heat and mass transfer rates with a lower magnitude of skin friction coefficient as compared to opposing flows. In this case, the nanofluid parameters, the Brownian motion, and thermophoresis altogether reduce the overall heat transfer rates of the non-Newtonian nanofluid. |
| first_indexed | 2024-03-09T00:57:30Z |
| format | Article |
| id | doaj.art-48de478a45a94dad8c68e955b03ee48f |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T00:57:30Z |
| publishDate | 2021-02-01 |
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| series | Mathematics |
| spelling | doaj.art-48de478a45a94dad8c68e955b03ee48f2023-12-11T16:46:22ZengMDPI AGMathematics2227-73902021-02-019436410.3390/math9040364Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching SheetNadhirah Abdul Halim0Noor Fadiya Mohd Noor1Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Shah Alam 40450, Selangor, MalaysiaInstitute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, MalaysiaA stagnation-point flow of a Powell–Eyring nanofluid along a vertical stretching surface is examined. The buoyancy force effect due to mixed convection is taken into consideration along with the Brownian motion and thermophoresis effect. The flow is investigated under active and passive controls of nanoparticles at the surface. The associating partial differential equations are converted into a set of nonlinear, ordinary differential equations using similarity conversions. Then, the equations are reduced to first-order differential equations before further being solved using the shooting method and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>b</mi><mi>v</mi><mi>p</mi><mn>4</mn><mi>c</mi></mrow></semantics></math></inline-formula> function in MATLAB. All results are presented in graphical and tabular forms. The buoyancy parameter causes the skin friction coefficient to increase in opposing flows but to decrease in assisting flows. In the absence of buoyancy force, there is no difference in the magnitude of the skin friction coefficient between active and passive controls of the nanoparticles. Stagnation has a bigger influence under passive control in enhancing the heat transfer rate as compared to when the fluid is under active control. Assisting flows have better heat and mass transfer rates with a lower magnitude of skin friction coefficient as compared to opposing flows. In this case, the nanofluid parameters, the Brownian motion, and thermophoresis altogether reduce the overall heat transfer rates of the non-Newtonian nanofluid.https://www.mdpi.com/2227-7390/9/4/364stagnation pointPowell–Eyring nanofluidzero mass fluxvertical stretching sheetmixed convection |
| spellingShingle | Nadhirah Abdul Halim Noor Fadiya Mohd Noor Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet Mathematics stagnation point Powell–Eyring nanofluid zero mass flux vertical stretching sheet mixed convection |
| title | Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet |
| title_full | Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet |
| title_fullStr | Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet |
| title_full_unstemmed | Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet |
| title_short | Mixed Convection Flow of Powell–Eyring Nanofluid near a Stagnation Point along a Vertical Stretching Sheet |
| title_sort | mixed convection flow of powell eyring nanofluid near a stagnation point along a vertical stretching sheet |
| topic | stagnation point Powell–Eyring nanofluid zero mass flux vertical stretching sheet mixed convection |
| url | https://www.mdpi.com/2227-7390/9/4/364 |
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