Numerical Solution of Unsteady Viscous Compressible Fluid Flow along a Porous Plate with Induced Magnetic Field

Numerical Solution of Unsteady Viscous Compressible Fluid Flow along a Porous Plate with Induced Magnetic Field

Muhammad Minarul Islam Md. Tusher Mollah Mohammad Sanjeed Hasan 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: 
minarul_math@yahoo.com; tusher.bsmrstu@gmail.com; sanjeedlhasan@gmail.com; alam_mahmud2000@yahoo.com
Page: 
850-863
|
DOI: 
https://doi.org/10.18280/mmc_b.860403
Received: 
30 October 2017
|
Accepted: 
25 November 2017
|
Published: 
31 December 2017
| Citation

OPEN ACCESS

Abstract: 

The unsteady viscous compressible boundary layer fluid flow past a semi-infinite vertical porous plate surrounded in a porous medium with induced magnetic field has been studied numerically. The governing non-linear coupled partial differential equations have been transformed by using usual transformations. The obtained non-linear dimensionless coupled partial differential equations have been solved numerically. The explicit finite difference method is used as solution technique and MATLAB software is used as a secondary tool. The obtained results for the density, velocity, induced magnetic field as well as temperature distributions are shown graphically.

Keywords: 

MHD, Porous medium, Induced magnetic field, Finite difference method, Heat transfer.

1. Introduction
2. The Basic Governing Equations
3. Mathematical Formulation
4. Numerical Solution
5. Results and Discussion
Conclusion
  References

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