Zeitschrift für angewandte Mathematik und Physik

, Volume 61, Issue 1, pp 147–169

Transient hydromagnetic flow in a rotating channel permeated by an inclined magnetic field with magnetic induction and Maxwell displacement current effects

  • S. K. Ghosh
  • O. A. Bég
  • J. Zueco
  • V. R. Prasad

DOI: 10.1007/s00033-009-0006-2

Cite this article as:
Ghosh, S.K., Bég, O.A., Zueco, J. et al. Z. Angew. Math. Phys. (2010) 61: 147. doi:10.1007/s00033-009-0006-2


Closed-form solutions are presented for the transient hydromagnetic flow in a rotating channel with inclined applied magnetic field under the influence of a forced oscillation. Magnetic Reynolds number is large enough to permit the inclusion of magnetic induction effects. The Maxwell displacement current effect is also included and simulated via a dielectric strength parameter. The governing momentum and magnetic induction conservation equations are normalized with appropriate transformations and the resulting quartet of partial differential equations are solved exactly. A parametric study is performed of the influence of oscillation frequency parameter (ω), time (T), inverse Ekman number, i.e. rotation parameter (K2), square of the Hartmann magnetohydrodynamic (MHD) parameter (M2), and magnetic field inclination (θ) on the primary and secondary induced magnetic field components (bx, by) and velocity components (u, v) across the channel. Network solutions are also obtained to validate the exact solutions and shown to be in excellent agreement. Applications of the study arise in planetary plasma physics and rotating MHD induction power generators and also astronautical flows.

Mathematics Subject Classification (2000)

76W05 76X05 65Z05 


Unsteady flow Forced oscillation MHD Rotation Closed-form solutions Dielectric strength Maxwell displacement current Inclined magnetic field Network numerical simulation 

Copyright information

© Birkhäuser Verlag Basel/Switzerland 2009

Authors and Affiliations

  • S. K. Ghosh
    • 1
  • O. A. Bég
    • 2
  • J. Zueco
    • 3
  • V. R. Prasad
    • 4
  1. 1.Magnetohydrodynamics Program, Mathematics DepartmentNarajole Raj CollegeNarajole, Midnapore West DistrictIndia
  2. 2.Magneto-Aerodynamics and Fire Dynamics Research, Mechanical Engineering Program, Department of Engineering and MathematicsSheffield Hallam UniversitySheffield, South YorkshireUK
  3. 3.ETS Ingenieros Industriales Campus Muralla del Mar, Departamento de Ingeniería Térmicay FluidosUniversidad Politécnica de CartagenaCartagena (Murcia)Spain
  4. 4.Department of MathematicsMadanapalle Institute of Technology and ScienceMadanapalleIndia

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