Froude Scaling given Velocity and Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling)
Fn = Vf/sqrt([g]*Lf)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Froude Scaling - Froude Scaling or number is a dimensionless parameter measuring the ratio of inertia force on an element of fluid to the weight of the fluid element.
Velocity of Fluid - (Measured in Meter per Second) - Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner.
Length for Froude Scaling - (Measured in Meter) - Length for Froude Scaling is the measurement of the channel length used for determination of scaling.
STEP 1: Convert Input(s) to Base Unit
Velocity of Fluid: 20 Meter per Second --> 20 Meter per Second No Conversion Required
Length for Froude Scaling: 115.5 Meter --> 115.5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Fn = Vf/sqrt([g]*Lf) --> 20/sqrt([g]*115.5)
Evaluating ... ...
Fn = 0.594262965384003
STEP 3: Convert Result to Output's Unit
0.594262965384003 --> No Conversion Required
FINAL ANSWER
0.594262965384003 0.594263 <-- Froude Scaling
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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6 Froude Scaling Calculators

Froude Scaling given Velocity and Length
Go Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling)
Velocity for Froude Scaling
Go Velocity of Fluid = Froude Scaling*sqrt([g]*Length for Froude Scaling)
Length for Froude Scaling
Go Length for Froude Scaling = (Velocity of Fluid/Froude Scaling)^2/[g]
Froude Scaling
Go Froude Scaling = sqrt(Inertia Forces/Forces Due to Gravity)
Inertia or Pressure Forces given Froude Scaling
Go Inertia Forces = (Froude Scaling^2)*Forces Due to Gravity
Gravity Forces for Froude Scaling
Go Forces Due to Gravity = Inertia Forces/Froude Scaling^2

Froude Scaling given Velocity and Length Formula

Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling)
Fn = Vf/sqrt([g]*Lf)

What is Reynolds number?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities. The ability to predict the onset of turbulent flow is an important design tool for equipment such as piping systems or aircraft wings, but the Reynolds number is also used in scaling of fluid dynamics problems, and is used to determine dynamic similitude between two different cases of fluid flow, such as between a model aircraft, and its full-size version. Such scaling is not linear and the application of Reynolds numbers to both situations allows scaling factors to be developed.

How to Calculate Froude Scaling given Velocity and Length?

Froude Scaling given Velocity and Length calculator uses Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling) to calculate the Froude Scaling, The Froude Scaling given Velocity and Length formula is defined as the ratio of velocities to the square root of length between model and prototype. Froude Scaling is denoted by Fn symbol.

How to calculate Froude Scaling given Velocity and Length using this online calculator? To use this online calculator for Froude Scaling given Velocity and Length, enter Velocity of Fluid (Vf) & Length for Froude Scaling (Lf) and hit the calculate button. Here is how the Froude Scaling given Velocity and Length calculation can be explained with given input values -> 0.594263 = 20/sqrt([g]*115.5).

FAQ

What is Froude Scaling given Velocity and Length?
The Froude Scaling given Velocity and Length formula is defined as the ratio of velocities to the square root of length between model and prototype and is represented as Fn = Vf/sqrt([g]*Lf) or Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling). Velocity of Fluid is the vector field that is used to describe fluid motion in a mathematical manner & Length for Froude Scaling is the measurement of the channel length used for determination of scaling.
How to calculate Froude Scaling given Velocity and Length?
The Froude Scaling given Velocity and Length formula is defined as the ratio of velocities to the square root of length between model and prototype is calculated using Froude Scaling = Velocity of Fluid/sqrt([g]*Length for Froude Scaling). To calculate Froude Scaling given Velocity and Length, you need Velocity of Fluid (Vf) & Length for Froude Scaling (Lf). With our tool, you need to enter the respective value for Velocity of Fluid & Length for Froude Scaling and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Froude Scaling?
In this formula, Froude Scaling uses Velocity of Fluid & Length for Froude Scaling. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Froude Scaling = sqrt(Inertia Forces/Forces Due to Gravity)
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