We study air entrainment by a solid plate plunging into a viscous liquid, theoretically and numerically. At dimensionless speeds Ca = UÎ·/Î³ of order unity, a near-cusp forms due to the contact line. The radius of curvature of the cuspâ€™s tip scales by the slip length multiplied by an exponential of -Ca. The pressure from the air flow drawn ins...
Eggers, Jens (University of Bristol)
University of Minnesota, Institute for Mathematics and its Applications.