The Transient Draining of Liquid From One Tank to Another with a Pump
A pump drains liquid from one tank into another identical tank. It is positioned midway between each tank, connected by a pipe at the bottom of each tank. The flow is opposed by friction in the connecting pipe.
This worksheet models the transient change in liquid height in each tank. It iteratively solves:
The Colebrook equation to describe friction factor in turbulent flow, or thestandard eqation that describes the friction factor in laminar flow.
The Bernoulli equation to find the fluid velocity
The Pump Characteristic equation. i.e. a correlation describing head versus flowrate,
together with the Continuity equation and the Reynolds Number at every time step in the solution of the differential equations that describe the transient change in liquid height in both tanks.