Abstract
The steady two-dimensional laminar forced magneto-hydrodynamic (MHD) Hiemenz flow against a flat plate with variable wall temperature in a porous medium is analyzed. The transformed nonlinear boundary-layer equations are solved analytically by homotopy analysis method (HAM). Results for the velocity and temperature profiles are presented for various values of Prandtl number Pr, the Hartmann number (M), exponent of wall temperature (λ), the permeability parameter (Ω), and suction and injection parameter (f w). Increments in f w, M, and Ω increase the velocities profiles but decrease the temperature profiles. Contrarily, the increment in the Pr decreases the velocity profiles and increases the temperature profiles. The convergence of the obtained series solutions is explicitly studied and a proper discussion is given for the obtained results. Comparison between the HAM and numerical solutions showed excellent agreement.
| Original language | English |
|---|---|
| Journal | Journal of Engineering Mechanics |
| Volume | 138 |
| Issue number | 1 |
| Pages (from-to) | 82-88 |
| Number of pages | 7 |
| ISSN | 0733-9399 |
| DOIs | |
| Publication status | Published - 2012 |
Keywords
- Heat Transfer
- Porous Media
- Magneto-Hydrodynamic
- Stagnation Flow
- HAM