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| Content Provider | Springer Nature Link |
|---|---|
| Author | Uddin, Md. Jashim Khan, W. A. Ismail, A. I. Md. |
| Copyright Year | 2012 |
| Abstract | The steady laminar incompressible free convective flow of a nanofluid over a permeable upward facing horizontal plate located in porous medium taking into account the thermal convective boundary condition is studied numerically. The nanofluid model used involves the effect of Brownian motion and the thermophoresis. Using similarity transformations the continuity, the momentum, the energy, and the nanoparticle volume fraction equations are transformed into a set of coupled similarity equations, before being solved numerically, by an implicit finite difference numerical method. Our analysis reveals that for a true similarity solution, the convective heat transfer coefficient related with the hot fluid and the mass transfer velocity must be proportional to x $^{−2/3}$, where x is the horizontal distance along the plate from the origin. Effects of the various parameters on the dimensionless longitudinal velocity, the temperature, the nanoparticle volume fraction, as well as on the rate of heat transfer and the rate of nanoparticle volume fraction have been presented graphically and discussed. It is found that Lewis number, the Brownian motion, and the convective heat transfer parameters increase the heat transfer rate whilst the thermophoresis decreases the heat transfer rate. It is also found that Lewis number and the convective heat transfer parameter enhance the nanoparticle volume fraction rate whilst the thermophoresis parameter decreases nanoparticle volume fraction rate. A very good agreement is found between numerical results of the present article for special case and published results. This close agreement supports the validity of our analysis and the accuracy of the numerical computations. |
| Starting Page | 867 |
| Ending Page | 881 |
| Page Count | 15 |
| File Format | |
| ISSN | 01693913 |
| Journal | Transport in Porous Media |
| Volume Number | 92 |
| Issue Number | 3 |
| e-ISSN | 15731634 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2012-01-18 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Brownian motion Convective boundary condition Nanofluids Porous media Thermophoresis Hydrogeology Industrial Chemistry/Chemical Engineering Civil Engineering Classical Continuum Physics Geotechnical Engineering & Applied Earth Sciences |
| Content Type | Text |
| Resource Type | Article |
| Subject | Catalysis |
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