Efflux speed via 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:

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

2. 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:

$$u=\sqrt{\frac{2p}{\rho }}$$