Stability of a Quadruple Vortex Street

概要

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The stability of a quadruple vortex street, i.e. a pair of double vortex streets in a perfect fluid is investigated for small disturbances. Permanent configurations are frst determined ; two of which are then examined in their stability-one is a symmetric arrangement of a pair of staggered (Karman-type) double streets and the other is an antisymmetric arrangement of the pair. The stability curves are obtained for several values of ratio of the distance 2b_0 between the double streets to the spacing a between consecutive vorticies in a row. It is found that both types are neutrally stable for most of disturbances except unstable disturbances in very narrow ranges of a parameter specifying the dis-turbances mode, provided that b_0/a≳0.5 and b/a is taken to be about 0.28, where b is the breadth of the double street. The symmetric type is more stable than the antisymmetric one.
社団法人日本物理学会の論文
1981-12-15