Publications


A family of steady, translating vortex pairs with distributed vorticity

Journal of Fluid Mechanics 102 (1981) 478-

RT Pierrehumbert

In our discussion of the behaviour of the limiting vortex pair boundary near the front stagnation point, we demonstrated that there are no solutions to the Euler equations in the half-plane x > 0 consisting of a region of constant non-zero vorticity separated from a region of irrotational flow by a straight-line boundary; from this we argued that the limiting vortex boundary must have a cusp where it contacts the negative y axis (see p. 137). However, a cusp is not the only kind of singular behaviour possible near the stagnation point. Prof. P. G. Saffman has pointed out to us that if the curvature of the boundary is allowed to become infinite at the stagnation point, the case of contact angle θO = 1/2π cannot be precluded, and further that such a solution can be found to leading order. In the rotational region we choose a stream function. © 1981, Cambridge University Press. All rights reserved.


THE STRUCTURE OF ORGANIZED VORTICES IN A FREE SHEAR-LAYER

JOURNAL OF FLUID MECHANICS 102 (1981) 301-313

RT PIERREHUMBERT, SE WIDNALL


A FAMILY OF STEADY, TRANSLATING VORTEX PAIRS WITH DISTRIBUTED VORTICITY

JOURNAL OF FLUID MECHANICS 99 (1980) 129-144

RT PIERREHUMBERT


2 AND 3 DIMENSIONAL INSTABILITIES OF A SPATIALLY PERIODIC SHEAR-LAYER

BULLETIN OF THE AMERICAN PHYSICAL SOCIETY 25 (1980) 1085-1085

RT PIERREHUMBERT, SE WIDNALL

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