P N Shankar
Articles written in Pramana – Journal of Physics
Volume 51 Issue 3-4 September 1998 pp 489-503 Research Articles
On a class of three-dimensional corner eddies
Consider Stokes flow in a viscous fluid filling a corner, of angle 2α, bounded by two infinite plane walls. Assume that the flow is symmetrical about some plane which is normal to the walls bounding the corner. Since superposition is valid we may consider flows that are symmetrical about the plane bisecting the comer and those that are antisymmetrical about this plane. In either case it is shown that for a class of corner eddies, the corner flow is made up of an infinite sequence of eddies as
Volume 65 Issue 1 July 2005 pp 107-116
The constancy of the contact angle in viscous liquid motions with pinned contact lines
Consider motion initiated in a viscous liquid in a smooth walled container. The liquid is initially at rest under uniform pressure from an inert gas of negligible inertia. We show that if the contact line is pinned and the interface is single valued, the contact angle has to remain constant throughout the motion. This is true even for motions of finite amplitude. Some implications of the result are discussed.
Volume 65 Issue 3 September 2005 pp 437-455
The shape of an axisymmetric bubble in uniform motion
We consider in a frame fixed to a bubble translating with steady speed
Volume 96, 2022
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