Hall effects on MHD flow in a rotating system with heat transfer characteristics
 S. K. Ghosh,
 O. Anwar Bég,
 M. Narahari
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Closedform solutions are derived for the steady magnetohydrodynamic (MHD) viscous flow in a parallel plate channel system with perfectly conducting walls in a rotating frame of reference, in the presence of Hall currents, heat transfer and a transverse uniform magnetic field. A mathematical analysis is described to evaluate the velocity, induced magnetic field and mass flow rate distributions, for a wide range of the governing parameters. Asymptotic behavior of the solution is analyzed for large M ^{2} (Hartmann number squared) and K ^{2} (rotation parameter). The heat transfer aspect is considered also with Joule and viscous heating effects present. Boundary layers arise close to the channel walls for large K ^{2}, i.e. strong rotation of the channel. For slowly rotating systems (small K ^{2}), Hall current parameter (m) reduces primary mass flow rate (Q _{ x }/R ρ v). Heat transfer rate at the upper plate (d θ/d η)_{ η=1} decreases, while at the lower plate (d θ/d η)_{ η=−1} increases, with increase in either K ^{2} or m. For constant values of the rotation parameter, K ^{2}, heat transfer rate at both plates exhibits an oscillatory pattern with an increase in Hall current parameter, m. The response of the primary and secondary velocity components and also the primary and secondary induced magnetic field components to the control parameters is also studied graphically. Applications of the study arise in rotating MHD induction machine energy generators, planetary and solar plasma fluid dynamics systems, magnetic field control of materials processing systems, hybrid magnetic propulsion systems for space travel etc.
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 Title
 Hall effects on MHD flow in a rotating system with heat transfer characteristics
 Journal

Meccanica
Volume 44, Issue 6 , pp 741765
 Cover Date
 20091201
 DOI
 10.1007/s1101200992106
 Print ISSN
 00256455
 Online ISSN
 15729648
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 MHD flow
 Hall effects
 Viscous effects
 Asymptotic behavior
 Heat transfer
 MHD energy systems
 HartmannEkman boundary layers
 Backflow
 Secondary flow
 Astrophysical plasma flows
 Magnetomaterials processing
 Propulsion
 Industry Sectors
 Authors

 S. K. Ghosh ^{(1)}
 O. Anwar Bég ^{(2)}
 M. Narahari ^{(3)}
 Author Affiliations

 1. Magnetohydrodynamics Research Program, Applied Mathematics Section, Department of Mathematics, Narajole Raj College, P.O. Narajole, Midnapore (West), 721 211, West Bengal, India
 2. MagnetoFluid Dynamics, Biomechanics and Energy Systems Research, Mechanical Engineering Department, Sheaf Building, Sheffield Hallam University, Sheffield, S1 1WB, England, UK
 3. Heat Transfer Research, Department of Electrical and Electronics Engineering, Univertsiti Teknologi Petronas, 31750, Tronoh, Perak, Malaysia