Hall and Ion-Slip Effects on Unsteady MHD Bingham Fluid Flow with Suction

Hall and Ion-Slip Effects on Unsteady MHD Bingham Fluid Flow with Suction

Md. Tusher Mollah* Muhammad Minarul Islam Md. Mahmud Alam

Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj 8100, Bangladesh

Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

Corresponding Author Email: 
tusher.bsmrstu@gmail.com
Page: 
221-229
|
DOI: 
https://doi.org/10.18280/mmc_b.870402
Received: 
15 May 2018
| |
Accepted: 
30 July 2018
| | Citation

OPEN ACCESS

Abstract: 

Hall and Ion-slip effects on unsteady MHD Bingham fluid flow through non-conducting parallel plates with uniform suction has been studied numerically. The fluid motion is subjected to uniform suction and external uniform magnetic field is applied perpendicular to the plates. The lower plate is stationary while upper plate moves with a constant velocity. Both plates are kept at different but constant temperatures. The governing non-linear coupled partial differential equations have been transformed into partial differential equations by usual transformations. The obtained equations have been solved numerically by the explicit finite difference method under the stability and convergence analysis. The effects of some important parameters on shear stress, Nusselt number as well as Primary Velocity, Secondary Velocity and Temperature distributions have been discussed graphically by MATLAB R2015a and Studio Developer FORTRAN 6.6a both. Finally, qualitative and quantitative comparisons of the present study with published results have been discussed.

Keywords: 

MHD, Bingham fluid, hall and Ion-slip current, suction, finite difference method

1. Introduction
2. Mathematical Formulation
3. Shear Stress and Nusselt Number
4. Calculation Technique
5. Stability and Convergence Analysis
6. Results and Discussion
7. Conclusion
Acknowledgement

This work is financed and supported by National Science and Technology under Ministry of Science and Technology, Government of the People’s Republic of Bangladesh.

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