Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating
This paper deals with steady three dimensional boundary layer flow of an incompressible viscoelastic nanofluid flow in the presence of Newtonian heating. An appropriate transformation is employed to convert the highly non linear partial differential equations into ordinary differential equations. Ho...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2015-05-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/1.4921312 |
| _version_ | 1818695763097550848 |
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| author | M. Ramzan Farhan Yousaf |
| author_facet | M. Ramzan Farhan Yousaf |
| author_sort | M. Ramzan |
| collection | DOAJ |
| description | This paper deals with steady three dimensional boundary layer flow of an incompressible viscoelastic nanofluid flow in the presence of Newtonian heating. An appropriate transformation is employed to convert the highly non linear partial differential equations into ordinary differential equations. Homotopy Analysis method (HAM) is used to find series solution of the obtained coupled highly non linear differential equations. The convergence of HAM solutions is discussed via h-curves. Graphical illustrations displaying the influence of emerging parameters on velocity, temperature and concentration profiles are given. It is observed that γ the conjugate parameter for Newtonian heating show increasing behavior on both temperature and concentration profiles. However, the temperature and concentration profiles are increasing and decreasing functions of Brownian motion parameter Nb respectively. |
| first_indexed | 2024-12-17T13:50:38Z |
| format | Article |
| id | doaj.art-52a5e7c2e01c4bef9657fbb3520093c6 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-17T13:50:38Z |
| publishDate | 2015-05-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-52a5e7c2e01c4bef9657fbb3520093c62022-12-21T21:46:03ZengAIP Publishing LLCAIP Advances2158-32262015-05-0155057132057132-1510.1063/1.4921312032505ADVBoundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heatingM. Ramzan0Farhan Yousaf1Department of Mathematics, College of Science, Al-Zulfi, Postal Code 11932, Majmaah University, Saudi ArabiaDepartment of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University, Islamabad Campus, Islamabad, Postal Code 44000, PakistanThis paper deals with steady three dimensional boundary layer flow of an incompressible viscoelastic nanofluid flow in the presence of Newtonian heating. An appropriate transformation is employed to convert the highly non linear partial differential equations into ordinary differential equations. Homotopy Analysis method (HAM) is used to find series solution of the obtained coupled highly non linear differential equations. The convergence of HAM solutions is discussed via h-curves. Graphical illustrations displaying the influence of emerging parameters on velocity, temperature and concentration profiles are given. It is observed that γ the conjugate parameter for Newtonian heating show increasing behavior on both temperature and concentration profiles. However, the temperature and concentration profiles are increasing and decreasing functions of Brownian motion parameter Nb respectively.http://dx.doi.org/10.1063/1.4921312 |
| spellingShingle | M. Ramzan Farhan Yousaf Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating AIP Advances |
| title | Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating |
| title_full | Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating |
| title_fullStr | Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating |
| title_full_unstemmed | Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating |
| title_short | Boundary layer flow of three-dimensional viscoelastic nanofluid past a bi-directional stretching sheet with Newtonian heating |
| title_sort | boundary layer flow of three dimensional viscoelastic nanofluid past a bi directional stretching sheet with newtonian heating |
| url | http://dx.doi.org/10.1063/1.4921312 |
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