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.

Notation:

1. \(g\) (g) is acceleration_due_to_gravity.

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

flow_speed of the fluid flowing out of the pipe.

Symbol:

u

Latex:

\(u\)

Dimension:

velocity

height

height of the fluid column above the orifice.

Symbol:

h

Latex:

\(h\)

Dimension:

length

law

u = sqrt(2 * g * h)

Latex:

\[u = \sqrt{2 g h}\]