Science Journal Of Mathematics and Statistics, Volume 2011 (2011), December 2011

© Author(s) 2011. This work is distributed under the Creative Commons Attribution 3.0 License.

Research Article


Internal Flow Separation due to Hydromagnetic Effects in a slowly Varying Exponentially Diverging Channel with Slip at the Permeable Boundaries

Author: M. Saiful Islam Mallik1, M. Abdul Hakim Khan2

1Department of Arts and Sciences, Ahsanullah University of Science and Technology,
Dhaka, Bangladesh
2Department of Mathematics Bangladesh University of Engineering and Technology, Dhaka

doi: 10.7237/sjms/211

Accepted 12 November 2011; Available Online 14 December 2011


The hydromagnetic steady flow of a viscous conducting fluid in a slowly varying exponentially diverging symmetrical channel with slip at the permeable boundaries is investigated. The combined effects of externally applied homogeneous magnetic field and wall slip parameter on the development of internal flow separation in the diverging channel are observed. Analytical solutions are found for the flow governing non-linear boundary-value problem using perturbation method together with Pade´ approximation technique based on computer extended series solution. Our computed results reveal that the axial fluid velocity is reduced by both magnetic field intensity and wall slip parameter and the internal flow separation development at moderately large Reynolds number is suppressed by an increase in magnetic field intensity.

Keyword:Diverging channel, magnetic field, internal flow separation, wall slip parameter, Pade´ approximants.