Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling
Heat transfer characteristics of a Berman flow of water based nanofluids containing copper (Cu) and alumina (Al2O3) as nanoparticles in a porous channel with Navier slip, viscous dissipation, and convective cooling are investigated. It is assumed that the exchange of heat with the ambient surroundin...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/809367 |
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| author | O. D. Makinde S. Khamis M. S. Tshehla O. Franks |
| author_facet | O. D. Makinde S. Khamis M. S. Tshehla O. Franks |
| author_sort | O. D. Makinde |
| collection | DOAJ |
| description | Heat transfer characteristics of a Berman flow of water based nanofluids containing copper (Cu) and alumina (Al2O3) as nanoparticles in a porous channel with Navier slip, viscous dissipation, and convective cooling are investigated. It is assumed that the exchange of heat with the ambient surrounding takes place at the channel walls following Newton’s law of cooling. The governing partial differential equations and boundary conditions are converted into a set of nonlinear ordinary differential equations using appropriate similarity transformations. These equations are solved analytically by regular perturbation methods with series improvement technique and numerically using an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme. The effects of the governing parameters on the dimensionless velocity, temperature, skin friction, pressure drop, and Nusselt numbers are presented graphically and discussed quantitatively. |
| format | Article |
| id | doaj-art-0b6b60b9e0a141fbad471d5a55e6dced |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0b6b60b9e0a141fbad471d5a55e6dced2025-02-03T01:28:25ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/809367809367Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective CoolingO. D. Makinde0S. Khamis1M. S. Tshehla2O. Franks3Faculty of Military Science, Stellenbosch University, Private Bag Box X2, Saldanha 7395, South AfricaMathematics and Computational Science and Engineering, Nelson Mandela African Institute of Science and Technology (NM-AIST), Arusha, TanzaniaFaculty of Military Science, Stellenbosch University, Private Bag Box X2, Saldanha 7395, South AfricaFaculty of Engineering Built Environment and Information Technology, Nelson Mandela Metropolitan University, P.O. Box 77000, Port Elizabeth 6031, South AfricaHeat transfer characteristics of a Berman flow of water based nanofluids containing copper (Cu) and alumina (Al2O3) as nanoparticles in a porous channel with Navier slip, viscous dissipation, and convective cooling are investigated. It is assumed that the exchange of heat with the ambient surrounding takes place at the channel walls following Newton’s law of cooling. The governing partial differential equations and boundary conditions are converted into a set of nonlinear ordinary differential equations using appropriate similarity transformations. These equations are solved analytically by regular perturbation methods with series improvement technique and numerically using an efficient Runge-Kutta Fehlberg integration technique coupled with shooting scheme. The effects of the governing parameters on the dimensionless velocity, temperature, skin friction, pressure drop, and Nusselt numbers are presented graphically and discussed quantitatively.http://dx.doi.org/10.1155/2014/809367 |
| spellingShingle | O. D. Makinde S. Khamis M. S. Tshehla O. Franks Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling Advances in Mathematical Physics |
| title | Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling |
| title_full | Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling |
| title_fullStr | Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling |
| title_full_unstemmed | Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling |
| title_short | Analysis of Heat Transfer in Berman Flow of Nanofluids with Navier Slip, Viscous Dissipation, and Convective Cooling |
| title_sort | analysis of heat transfer in berman flow of nanofluids with navier slip viscous dissipation and convective cooling |
| url | http://dx.doi.org/10.1155/2014/809367 |
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