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### Pressure Applied on Liquid in Vessel Equations and Calculator

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**Vessel With Pressure Applied on Liquid Level**

Preview: **Vessel With Pressure Applied on Liquid Level Calculator **

v = ψ [ 2 ( g H + p_{u} / ρ ) ]^{0.5}

V = ψ ε A [ 2 ( g H + p_{u} / ρ ) ]^{0.5}

Where:

v = Discharge velocity (m/s),

V = Volume of reaction (m^{3}/sec),

A = Area of discharge opening (m^{2}),

p_{u} = Excess pressure compared tp external pressure,

ρ = Density (kg/m^{3}) (water = 997 kg/m^{3})

H = Depth (m),

g = Acceleration due to gravity (9.81 m/s) ,

ε = Coeffcient of contraction (ε = 0.62 for sharp edged openings and ε = 0.97 for smooth rounded openings),

ψ = Coeffcient of friction (for water ψ = 0.97)

Reference:

K. Gieck, Technische Formelsammlung, 29th edition, Gieck Verlag, Heilbronn