Spinup or spindown of a rotating electrically conducting fluid in a magnetic field

Mathews, J L.R.; Nath, G

doi:10.1063/1.864827

Title: Spinup or spindown of a rotating electrically conducting fluid in a magnetic field

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Abstract

The hydromagnetic spinup or spindown of an incompressible, rotating, electrically conducting fluid over an infinite insulated disk with an applied magnetic field is studied when the impulsive motion is imparted either to the fluid or to the disk. The nonlinear partial differential equations governing the flow are solved numerically using an implicit finite-difference scheme. It is found that the spinup (or spindown) time due to impulsive motion of the disk is much shorter than the spinup (or spindown) time due to the impulsive motion of the distant fluid. The spinup (or spindown) time for the hydromagnetic case is comparatively smaller than the corresponding nonmagnetic case. Spindown is not merely a mirror reflection of spinup.

Authors:: Mathews, J L.R.; Nath, G

Publication Date:: Sun Jul 01 00:00:00 EDT 1984

Research Org.:: Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012, India

OSTI Identifier:: 6660751

Resource Type:: Journal Article

Journal Name:: Phys. Fluids; (United States)

Additional Journal Information:: Journal Volume: 27:7

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; MAGNETOHYDRODYNAMICS; INCOMPRESSIBLE FLOW; ROTATION; ANGULAR VELOCITY; BOUNDARY LAYERS; ELECTRIC CONDUCTORS; ELECTRICAL INSULATORS; FINITE DIFFERENCE METHOD; FLUIDS; LAMINAR FLOW; MAGNETIC FIELDS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; STEADY-STATE CONDITIONS; DIFFERENTIAL EQUATIONS; ELECTRICAL EQUIPMENT; EQUATIONS; EQUIPMENT; FLUID FLOW; FLUID MECHANICS; HYDRODYNAMICS; ITERATIVE METHODS; LAYERS; MECHANICS; MOTION; VELOCITY; 640430* - Fluid Physics- Magnetohydrodynamics

Citation Formats


                    Mathews, J L.R., and Nath, G. Spinup or spindown of a rotating electrically conducting fluid in a magnetic field.  United States: N. p., 1984. 
        Web.  doi:10.1063/1.864827.

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                    Mathews, J L.R., & Nath, G. Spinup or spindown of a rotating electrically conducting fluid in a magnetic field.  United States.  https://doi.org/10.1063/1.864827

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                    Mathews, J L.R., and Nath, G. 1984.  
        "Spinup or spindown of a rotating electrically conducting fluid in a magnetic field".  United States.  https://doi.org/10.1063/1.864827.

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@article{osti_6660751,

  title        = {Spinup or spindown of a rotating electrically conducting fluid in a magnetic field},

  author       = {Mathews, J L.R. and Nath, G},

  abstractNote = {The hydromagnetic spinup or spindown of an incompressible, rotating, electrically conducting fluid over an infinite insulated disk with an applied magnetic field is studied when the impulsive motion is imparted either to the fluid or to the disk. The nonlinear partial differential equations governing the flow are solved numerically using an implicit finite-difference scheme. It is found that the spinup (or spindown) time due to impulsive motion of the disk is much shorter than the spinup (or spindown) time due to the impulsive motion of the distant fluid. The spinup (or spindown) time for the hydromagnetic case is comparatively smaller than the corresponding nonmagnetic case. Spindown is not merely a mirror reflection of spinup.},

  doi          = {10.1063/1.864827},

  url          = {https://www.osti.gov/biblio/6660751},
  journal      = {Phys. Fluids; (United States)},
number       = ,

  volume       = 27:7,

  place        = {United States},

  year         = {Sun Jul 01 00:00:00 EDT 1984},

  month        = {Sun Jul 01 00:00:00 EDT 1984}

}

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