Froude number formula

The Froude number is based on the speed-to-length ratio as defined by Froude. It has some analogy with the Mach number, but it is not frequently used in the field of theoretical fluid dynamics. It relates the inertia forces in a system to the effects due to gravity, in other words, it is related to the tendency of the fluid to make gravity waves.

Notation:

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

Links:

1. Wikipedia.

2. ScienceDirect.

flow_speed

flow_speed.

Symbol:

u

Latex:

\(u\)

Dimension:

velocity

characteristic_length

characteristic_length of the fluid container.

Symbol:

l_c

Latex:

\(l_\text{c}\)

Dimension:

length

froude_number

froude_number.

Symbol:

Fr

Latex:

\(\text{Fr}\)

Dimension:

dimensionless

law

Fr = u / sqrt(g * l_c)

Latex:

\[\text{Fr} = \frac{u}{\sqrt{g l_\text{c}}}\]