Froude Number given Velocity Calculator

✖Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity for Froude Number [V_FN]			+10% -10%
✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section [d_section]			+10% -10%

✖Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.ⓘ Froude Number given Velocity [Fr]

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Formula

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Froude Number given Velocity

Formula

`"Fr" = "V"_{"FN"}/sqrt("[g]"*"d"_{"section"})`

Example

`"9.996609"="70m/s"/sqrt("[g]"*"5m")`

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Download Specific Energy and Critical Depth Formulas PDF

Froude Number given Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)
Fr = V_FN/sqrt([g]*d_section)
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 Number - Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders.
Mean Velocity for Froude Number - (Measured in Meter per Second) - Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity for Froude Number: 70 Meter per Second --> 70 Meter per Second No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Fr = V_FN/sqrt([g]*d_section) --> 70/sqrt([g]*5)

Evaluating ... ...

Fr = 9.99660886860324

STEP 3: Convert Result to Output's Unit

9.99660886860324 --> No Conversion Required

FINAL ANSWER

9.99660886860324 ≈ 9.996609 <-- Froude Number

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 23 Specific Energy and Critical Depth Calculators

Discharge through Area

Go Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow))

Area of Section given Discharge

Go Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))

Volume of Liquid Considering Condition of Maximum Discharge

Go Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval

Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g])

Total Energy per unit Weight of Water in Flow Section given Discharge

Go Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

Area of Section Considering Condition of Maximum Discharge

Go Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)

Depth of Flow given Discharge

Go Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

Discharge through Section Considering Condition of Minimum Specific Energy

Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)

Discharge through Section Considering Condition of Maximum Discharge

Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)

Top Width of Section Considering Condition of Maximum Discharge

Go Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)

Datum Height for Total Energy per unit Weight of Water in Flow Section

Go Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow)

Mean Velocity of Flow given Froude Number

Go Mean Velocity for Froude Number = Froude Number*sqrt(Diameter of Section*[g])

Froude Number given Velocity

Go Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)

Total Energy per unit Weight of Water in Flow Section

Go Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum

Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g])

Diameter of Section given Froude Number

Go Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]

Area of Section of Open Channel Considering Condition of Minimum Specific Energy

Go Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3)

Top Width of Section through Section Considering Condition of Minimum Specific Energy

Go Top Width = ((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)

Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum

Go Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow

Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))

Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy

Go Mean Velocity = sqrt([g]*Diameter of Section)

Diameter of Section through Section Considering Condition of Minimum Specific Energy

Go Diameter of Section = (Mean Velocity^2)/[g]

Froude Number given Velocity Formula

Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)
Fr = V_FN/sqrt([g]*d_section)

What is Froude Number?

The Froude number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders. The denominator represents the speed of a small wave on the water surface relative to the speed of the water, called wave celerity.

How to Calculate Froude Number given Velocity?

Froude Number given Velocity calculator uses Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section) to calculate the Froude Number, The Froude Number given Velocity is defined as a dimensionless number defined as the ratio of the flow inertia to the external field. Froude Number is denoted by Fr symbol.

How to calculate Froude Number given Velocity using this online calculator? To use this online calculator for Froude Number given Velocity, enter Mean Velocity for Froude Number (V_FN) & Diameter of Section (d_section) and hit the calculate button. Here is how the Froude Number given Velocity calculation can be explained with given input values -> 7.140435 = 70/sqrt([g]*5).

FAQ

What is Froude Number given Velocity?

The Froude Number given Velocity is defined as a dimensionless number defined as the ratio of the flow inertia to the external field and is represented as Fr = V_FN/sqrt([g]*d_section) or Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section). Mean Velocity for Froude Number is defined as the average velocity of a fluid at a point and over an arbitrary time T & Diameter of Section is the diameter of the circular cross-section of the beam.

How to calculate Froude Number given Velocity?

The Froude Number given Velocity is defined as a dimensionless number defined as the ratio of the flow inertia to the external field is calculated using Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section). To calculate Froude Number given Velocity, you need Mean Velocity for Froude Number (V_FN) & Diameter of Section (d_section). With our tool, you need to enter the respective value for Mean Velocity for Froude Number & Diameter of Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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