Effects of Magnetic Field on the Turbulent Wake of a Cylinder in MHD Channel Flow

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Results from a free-surface MHD flow experiment are presented detailing the modi cation of vortices in the wake of a circular cylinder with its axis parallel to the applied magnetic fi eld. Experiments were performed with a Reynolds number near Re ~ 104 as the interaction parameter, N = |j x#2; B| / |ρ (υ ⋅ ∇), was increased through unity. By concurrently sampling the downstream fluid velocity at sixteen cross-stream locations in the wake, it was possible to extract an ensemble of azimuthal velocity profi les as a function of radius for vortices shed by the cylinder at varying ... continued below

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John Rhoads, Eric Edlund and Hantao Ji April 17, 2013.

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Results from a free-surface MHD flow experiment are presented detailing the modi cation of vortices in the wake of a circular cylinder with its axis parallel to the applied magnetic fi eld. Experiments were performed with a Reynolds number near Re ~ 104 as the interaction parameter, N = |j x#2; B| / |ρ (υ ⋅ ∇), was increased through unity. By concurrently sampling the downstream fluid velocity at sixteen cross-stream locations in the wake, it was possible to extract an ensemble of azimuthal velocity profi les as a function of radius for vortices shed by the cylinder at varying strengths of magnetic field. Results indicate a signi cant change in vortex radius and rotation as N is increased. The lack of deviations from the vortex velocity pro file at high magnetic fi elds suggests the absence of small-scale turbulent features. By sampling the wake at three locations downstream in subsequent experiments, the decay of the vortices was examined and the effective viscosity was found to decrease as N-049±0.4. This reduction in effective viscosity is due to the modi cation of the small-scale eddies by the magnetic fi eld. The slope of the energy spectrum was observed to change from a k-1.8 power-law at low N to a k-3.5 power-law for N > 1. Together, these results suggest the flow smoothly transitioned to a quasi-two-dimensional state in the range 0 < N < 1.

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  • Journal of Fluid Mechanics, Cambridge University Press (April 2013)

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  • Report No.: PPPL-4866
  • Grant Number: DE-ACO2-09CH11466
  • DOI: 10.2172/1074354 | External Link
  • Office of Scientific & Technical Information Report Number: 1074354
  • Archival Resource Key: ark:/67531/metadc835082

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  • April 17, 2013

Added to The UNT Digital Library

  • May 19, 2016, 9:45 a.m.

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  • July 18, 2016, 5:24 p.m.

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John Rhoads, Eric Edlund and Hantao Ji. Effects of Magnetic Field on the Turbulent Wake of a Cylinder in MHD Channel Flow, report, April 17, 2013; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc835082/: accessed August 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.