Abstract
The steady stagnation point flow of Jeffrey nanofluid over an exponential stretching surface under the boundary layer assumptions is discussed analytically. The transport equations include the effects of Brownian motion and thermophoresis. The boundary layer coupled partial differential equations of Jeffrey nanofluid are simplified with the help of suitable semi-similar transformations. The reduced equations are then solved analytically with the help of homotopy analysis method (HAM). The convergence of HAM solutions have been discussed by plotting h-curve. The expressions for velocity, temperature and nano particle volume fraction are computed for some values of the parameters namely, Jeffrey relaxation and retardation parameters B and λ1, stretching/ shrinking parameter A, suction injection parameter vw, Lewis number Le, the Brownian motion Nb, thermophoresis parameter Nt and Prandtl number Pr.
| Original language | English |
|---|---|
| Pages (from-to) | 171-180 |
| Number of pages | 10 |
| Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
| Volume | 15 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Jun 2014 |
Bibliographical note
Funding Information:This research was supported by WCU (World Class University) program and ERC program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (R31-2008-000-10049-0 and 20090093134).
Keywords
- Boundary layer flow
- Exponential stretching
- Jeffrey nanofluid
- Porous stretching surface
- Series solutions
- Stagnation point
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Computational Mechanics
- Modeling and Simulation
- Engineering (miscellaneous)
- Mechanics of Materials
- General Physics and Astronomy
- Applied Mathematics