Dead End Transient Theory

A dead end is similar to an assigned flow, except the flow rate is zero (Wylie, 1993Wylie, E.B., V.L. Streeter & L. Suo, Fluid Transients in Systems, Prentice Hall, Englewood Hills, New Jersey, 1993., pp. 44). The unknown is then the pressure, which can be solved by calling the appropriate compatibility equation. If the dead end is at the upstream end of the pipe, the negative wave compatibility equation is used with zero flow.

Conversely, if the dead end is at the downstream end, the positive wave compatibility equation is used with zero flow.

The path characteristic becomes completely vertical, but is still represented by the particle path compatibility equation, using the pressure from the appropriate wave compatibility equation.