Critical behaviour of the MHD flow in convergent-divergent channels

Authors

  • Md. Sarwar Alam Jagannath University
  • Md. Abdul Hakim Khan Bangladesh University of Engineering and Technology

DOI:

https://doi.org/10.3329/jname.v7i2.5635

Keywords:

Magnetohydrodynamic, Critical behaviour, Convergent-Divergent channels, Bifurcation, Approximation method

Abstract

The effect of external Magnetohydrodynamic (MHD) field on the steady two-dimensional nonlinear flow through Convergent-Divergent Channels of a viscous incompressible electrically conducting fluid is investigated. We compute the critical behaviour of the solution govern by the equation. Our approach uses the power series in order to observe the instability of the problem. The series is then summed by using various generalizations of the approximants. We find the critical values of various parameters and type of the principal singularity for different choice of MHD effect.

DOI: 10.3329/jname.v7i2.5635

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Author Biographies

Md. Sarwar Alam, Jagannath University

Lecturer,  Department  of Mathematics

Md. Abdul Hakim Khan, Bangladesh University of Engineering and Technology

Professor, Department  of Mathematics

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Published

10.02.2011

How to Cite

Alam, M. S., & Khan, M. A. H. (2011). Critical behaviour of the MHD flow in convergent-divergent channels. Journal of Naval Architecture and Marine Engineering, 7(2), 83–93. https://doi.org/10.3329/jname.v7i2.5635

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Articles