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Steady magnetohydrodynamic flow past a circular cylinder
Author(s) -
Ingham D. B.
Publication year - 1974
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620080407
Subject(s) - potential flow around a circular cylinder , reynolds number , cylinder , magnetic reynolds number , mechanics , magnetic field , physics , drag coefficient , vortex , flow (mathematics) , mathematics , square (algebra) , drag , geometry , classical mechanics , turbulence , quantum mechanics
The steady two‐dimensional, viscous, electrically conducting flow around a circular cylinder is investigated. The flow and magnetic field are uniform and parallel at large distances from the cylinder. The equations and boundary conditions are derived for arbitrary values of R , R m and β, where R is the Reynolds number, R m the magnetic Reynolds number and β, the ratio of the square of the Alfvén speed to the square of the main stream speed. Because of the large number of parameters involved, the numerical solution is restricted to R = 40, R m = 1 and infinity and 0 ⩽ β ⩽ 4. Also the cylinder is taken to be a perfect conductor, this avoids having to compute the magnetic field within the cylinder. The numerical computations for the non‐magnetic case, i.e. β = 0, are presented and are found to be in good agreement with existing results. The effect of increasing the strength of the magnetic field (i.e. increasing β) on the drag coefficient, the size and position of the standing vortex and the increasing effect of the upstream propagation of disturbances are examined.