Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation
The flow and heat transfer characteristics of incompressible viscous flow over a nonlinearly stretching sheet with the presence of viscous dissipation is investigated numerically. The similarity transformation reduces the time-independent boundary layer equations for momentum and thermal energy into...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/587834 |
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| author | Javad Alinejad Sina Samarbakhsh |
| author_facet | Javad Alinejad Sina Samarbakhsh |
| author_sort | Javad Alinejad |
| collection | DOAJ |
| description | The flow and heat transfer characteristics of incompressible viscous flow over a nonlinearly stretching sheet with the presence of viscous dissipation is investigated numerically. The similarity transformation reduces the time-independent boundary layer equations for momentum and thermal energy into a set of coupled ordinary differential equations. The obtained equations, including nonlinear equation for the velocity field 𝑓 and differential equation by variable coefficient for the temperature field 𝜃, are solved numerically by using the fourth order of Runge-Kutta integration scheme accompanied by shooting technique with Newton-Raphson iteration method. The effect of various values of Prandtl number, Eckert number and nonlinear stretching parameter are studied. The results presented graphically show some behaviors such as decrease in dimensionless temperature 𝜃 due to increase in Pr number, and curve relocations are observed when heat dissipation is considered. |
| format | Article |
| id | doaj-art-318a4bd79a3e4943a6a4c4f21c044167 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-318a4bd79a3e4943a6a4c4f21c0441672025-02-03T01:01:03ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/587834587834Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous DissipationJavad Alinejad0Sina Samarbakhsh1Department of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari 48161-19318, IranAzmoon Pardazesh Research Institute, No. 2, Malekloo Street, Narmak, Tehran 1483764874, IranThe flow and heat transfer characteristics of incompressible viscous flow over a nonlinearly stretching sheet with the presence of viscous dissipation is investigated numerically. The similarity transformation reduces the time-independent boundary layer equations for momentum and thermal energy into a set of coupled ordinary differential equations. The obtained equations, including nonlinear equation for the velocity field 𝑓 and differential equation by variable coefficient for the temperature field 𝜃, are solved numerically by using the fourth order of Runge-Kutta integration scheme accompanied by shooting technique with Newton-Raphson iteration method. The effect of various values of Prandtl number, Eckert number and nonlinear stretching parameter are studied. The results presented graphically show some behaviors such as decrease in dimensionless temperature 𝜃 due to increase in Pr number, and curve relocations are observed when heat dissipation is considered.http://dx.doi.org/10.1155/2012/587834 |
| spellingShingle | Javad Alinejad Sina Samarbakhsh Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation Journal of Applied Mathematics |
| title | Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation |
| title_full | Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation |
| title_fullStr | Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation |
| title_full_unstemmed | Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation |
| title_short | Viscous Flow over Nonlinearly Stretching Sheet with Effects of Viscous Dissipation |
| title_sort | viscous flow over nonlinearly stretching sheet with effects of viscous dissipation |
| url | http://dx.doi.org/10.1155/2012/587834 |
| work_keys_str_mv | AT javadalinejad viscousflowovernonlinearlystretchingsheetwitheffectsofviscousdissipation AT sinasamarbakhsh viscousflowovernonlinearlystretchingsheetwitheffectsofviscousdissipation |