Efflux speed via hydrostatic pressure and density¶

The speed of a fluid flowing out from a small orifice can be expressed as a function of the fluid’s hydrostatic pressure and density.

Conditions:

The orifice is very small relative to the horizontal cross-section of the container.
The fluid is ideal.

efflux_speed¶: flow_speed of the fluid flowing out of the pipe.

Symbol:: u
Latex:: \(u\)
Dimension:: velocity

hydrostatic_pressure¶: hydrostatic_pressure of the fluid.

Symbol:: p
Latex:: \(p\)
Dimension:: pressure

density¶: density of the fluid.

Symbol:: rho
Latex:: \(\rho\)
Dimension:: mass/volume

law¶

u = sqrt(2 * p / rho)

Latex:: \[u = \sqrt{\frac{2 p}{\rho}}\]