Accumulation of liquid in an open vessel at constant temperature

2 Accumulation of liquid in an open vessel at constant temperature 

Atmospheric pressure is denoted pa, Pa. The vessel contains mkg of liquid, with a volume V m.  

Since the whole system is at ambient temperature, the specific volume of the vessel contents will be the same as the specific volume of the upstream source v = v. The volume of the vessel contents will be related to their mass by  

The level, /, in the vessel may be found by dividing the volume by the base cross-sectional area. A, of the vessel  

The inflow will depend on the upstream pressure and specific volume, p] and U, and on the pressure at the entry to the vessel, p. For a horizontal pipe containing a valve, the flow will be given by 

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