Interaction of two vortices in a flued with lower stagnation pressure
Abstract: The flow field induced by two point vortices of strength at a distance apart in a quiescent field with lower stagnation pressure is investigated. The flow field around the vortices is bounded by a free streamline with constant velocity determined by the difference in the stagnation pressures. For the parameter , the flow field around each vortex is isolated from the other and is bounded by a circular free streamline of radius . When , the two circular free streamlines just touch each other. When the two flows merge and they are enclosed inside a single convex free streamline. Analytical solutions are presented for the merged flow field and the free streamline for the entire range of the parameter .