# Classical Collapse

A bubble of radius $$r$$ is made at one end of a capillary tube, with the other end closed. Now, once the closed end is opened, the bubble collapses in time $$T$$. Assume that the temperature remains constant, air is inviscid, and its flow is laminar in the tube. Also assume this process to be quasi-static.

If the time taken by another bubble of radius $$kr$$ to collapse is $${ k }^{ n }T$$, find the value of $$n.$$


Hint: Air flows with constant velocity in the capillary tube after collapse.

×