ANZIAM J.
48 (2006), 165-177
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Steady Prandtl-Batchelor flows past a circular cylinder
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Abstract
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The high Reynolds number flow past a circular
cylinder with a trailing wake region is
considered when the wake region is bounded and
contains uniform vorticity. The formulation
allows only for a single vortex pair trapped
behind the cylinder, but calculates solutions
over a range of values of vorticity. The
separation point and length of the region are
determined as outputs. It was found that using
this numerical method there is an upper bound on
the vorticity for which solutions can be
calculated for a given arclength of the cavity.
In some cases with shorter cavities, the limiting
solutions coincide with the formation of a
stagnation point in the outer flow at both
separation from the cylinder and reattachment at
the end of the cavity.
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Australian Mathematical Publishing Association Inc.
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Australian MS
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