Efflux speed via height

The speed of a fluid flowing out from a small orifice can be expressed as a function of the height of the fluid column. It is also known as the Torricelli’s law.

Conditions:

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

  2. The fluid is ideal.

  3. The fluid is subjected to the gravity force of Earth.

Links:

  1. Wikipedia.

efflux_speed

Speed of the fluid flowing out of the pipe.

Symbol:

v

height

Height of the fluid column above the orifice.

Symbol:

h

law

v = sqrt(2 * g * h)

Latex:
\[v = \sqrt{2 g h}\]