Froude number Formula
The Froude number is a dimensionless value that describes the different flow regimes of an open channel flow. The Froude number is a ratio of inertial and gravitational forces. This is written as:
Froude number = Velocity of the fluid / √ (gravity acceleration * depth of flow)
The equation is
Fr = v / √ (g l)
We have:
Fr: Froude number
v: Velocity of fluid
l: Depth of flow
g: Gravitational acceleration
Froude number equation Questions:
1) A fluid flows through a tube with a men depth of 0.1 m with velocity 5m/s. What is the Froude number associated with the fluid system?
Answer: The Froude number is found from the equation:
Fr = v / √ (g l)
Fr = 5 m/s / √ (9.8 m/s2 * 0.1 m) = 5.05
Fr = 5.05
2) If the Froude number of the problem above is 10 and only the velocity can change. What would be the velocity?
Answer: The velocity is found from the equation of Froude:
v = Fr √ (g l)
then substituting the values,
v = (10)2 * √ (9.8 m/s2 * 0.1 m ) = 9.9.2 m/s
v = 9.9 m/s.
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