Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface
Similarity solutions are carried out for flow of power law non-Newtonian fluid film on unsteady stretching surface subjected to constant heat flux. Free convection heat transfer induces thermal boundary layer within a semi-infinite layer of Boussinesq fluid. The nonlinear coupled partial differentia...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/718319 |
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| author | Atta Sojoudi Ali Mazloomi Suvash C. Saha Y. T. Gu |
| author_facet | Atta Sojoudi Ali Mazloomi Suvash C. Saha Y. T. Gu |
| author_sort | Atta Sojoudi |
| collection | DOAJ |
| description | Similarity solutions are carried out for flow of power law non-Newtonian fluid film on unsteady stretching surface subjected to constant heat flux. Free convection heat transfer induces thermal boundary layer within a semi-infinite layer of Boussinesq fluid. The nonlinear coupled partial differential equations (PDE) governing the flow and the boundary conditions are converted to a system of ordinary differential equations (ODE) using two-parameter groups. This technique reduces the number of independent variables by two, and finally the obtained ordinary differential equations are solved numerically for the temperature and velocity using the shooting method. The thermal and velocity boundary layers are studied by the means of Prandtl number and non-Newtonian power index plotted in curves. |
| format | Article |
| id | doaj-art-6dd7adc08b924d1f9a7ea618c7eefb1a |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6dd7adc08b924d1f9a7ea618c7eefb1a2025-02-03T06:15:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/718319718319Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching SurfaceAtta Sojoudi0Ali Mazloomi1Suvash C. Saha2Y. T. Gu3Department of Mechanical Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, IranSchool of Mechanical Engineering, Sharif University of Technology, P.O. Box 11155-8639, Tehran, IranSchool of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, 2 George Street, GPO Box 2434, Brisbane, QLD 4001, AustraliaSchool of Chemistry, Physics and Mechanical Engineering, Queensland University of Technology, 2 George Street, GPO Box 2434, Brisbane, QLD 4001, AustraliaSimilarity solutions are carried out for flow of power law non-Newtonian fluid film on unsteady stretching surface subjected to constant heat flux. Free convection heat transfer induces thermal boundary layer within a semi-infinite layer of Boussinesq fluid. The nonlinear coupled partial differential equations (PDE) governing the flow and the boundary conditions are converted to a system of ordinary differential equations (ODE) using two-parameter groups. This technique reduces the number of independent variables by two, and finally the obtained ordinary differential equations are solved numerically for the temperature and velocity using the shooting method. The thermal and velocity boundary layers are studied by the means of Prandtl number and non-Newtonian power index plotted in curves.http://dx.doi.org/10.1155/2014/718319 |
| spellingShingle | Atta Sojoudi Ali Mazloomi Suvash C. Saha Y. T. Gu Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface Journal of Applied Mathematics |
| title | Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface |
| title_full | Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface |
| title_fullStr | Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface |
| title_full_unstemmed | Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface |
| title_short | Similarity Solutions for Flow and Heat Transfer of Non-Newtonian Fluid over a Stretching Surface |
| title_sort | similarity solutions for flow and heat transfer of non newtonian fluid over a stretching surface |
| url | http://dx.doi.org/10.1155/2014/718319 |
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