On the expansion wave problem in a long pipe with wall friction (Q1091200)

The method of matched asymptotic expansions is used to study the flow out of a long tube or pipeline caused by a sudden rupture. The flow in the tube generated by the expansion wave propagating into the tube from the break point is shown to be modified substantially by the presence of wall friction. This depends primarily on the fact that, when there is wall friction, the velocity derivative along the tube becomes singular at the broken end exit for all times, as long as the flow is critical at the exit.