NDLI: Hall effects on MHD flow in a rotating system with heat transfer characteristics

Content Provider	Springer Nature Link
Author	Ghosh, S. K. Anwar Bég, O. Narahari, M.
Copyright Year	2009
Abstract	Closed-form 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.
Starting Page	741
Ending Page	765
Page Count	25
File Format	PDF
ISSN	00256455
Journal	Meccanica
Volume Number	44
Issue Number	6
e-ISSN	15729648
Language	English
Publisher	Springer Netherlands
Publisher Date	2009-04-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	MHD flow Hall effects Viscous effects Asymptotic behavior Heat transfer MHD energy systems Hartmann-Ekman boundary layers Backflow flow Astrophysical plasma flows Magneto-materials processing Propulsion Mechanical Engineering Automotive Engineering Civil Engineering Mechanics
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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