Froude Number given Top Width Calculator

✖Discharge for GVF Flow is rate of flow per unit time.ⓘ Discharge for GVF Flow [Q_f]			+10% -10%
✖Top Width is defined as width at top of section.ⓘ Top Width [T]			+10% -10%
✖Wetted Surface Area is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area [S]			+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 Top Width [Fr]

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Formula

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Froude Number given Top Width

Formula

`"Fr" = sqrt("Q"_{"f"}^2*"T"/("[g]"*"S"^3))`

Example

`"9.954315"=sqrt(("177m³/s")^2*"2m"/("[g]"*("4.01m²")^3))`

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Download Gradually Varied Flow in Channels Formulas PDF

Froude Number given Top Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))
Fr = sqrt(Q_f^2*T/([g]*S^3))
This formula uses 1 Constants, 1 Functions, 4 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.
Discharge for GVF Flow - (Measured in Cubic Meter per Second) - Discharge for GVF Flow is rate of flow per unit time.
Top Width - (Measured in Meter) - Top Width is defined as width at top of section.
Wetted Surface Area - (Measured in Square Meter) - Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

STEP 1: Convert Input(s) to Base Unit

Discharge for GVF Flow: 177 Cubic Meter per Second --> 177 Cubic Meter per Second No Conversion Required
Top Width: 2 Meter --> 2 Meter No Conversion Required
Wetted Surface Area: 4.01 Square Meter --> 4.01 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Fr = sqrt(Q_f^2*T/([g]*S^3)) --> sqrt(177^2*2/([g]*4.01^3))

Evaluating ... ...

Fr = 9.95431472009473

STEP 3: Convert Result to Output's Unit

9.95431472009473 --> No Conversion Required

FINAL ANSWER

9.95431472009473 ≈ 9.954315 <-- Froude Number

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< 24 Gradually Varied Flow in Channels Calculators

Area of Section given Energy Gradient

Go Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3)

Discharge given Energy Gradient

Go Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5

Top Width given Energy Gradient

Go Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2)

Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient

Go Slope of Line = Hydraulic Gradient to Head Loss/(1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))

Energy Gradient given Slope

Go Hydraulic Gradient to Head Loss = (1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))*Slope of Line

Froude Number given Top Width

Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))

Discharge given Froude Number

Go Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3)))

Area of Section given Total Energy

Go Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5

Depth of Flow given Total Energy

Go Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2))

Discharge given Total Energy

Go Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5

Total Energy of Flow

Go Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))

Area of Section given Froude Number

Go Wetted Surface Area = ((Discharge for GVF Flow^2*Top Width/([g]*Froude Number^2)))^(1/3)

Top Width given Froude Number

Go Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2)

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

Go Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))

Slope of Dynamic Equation of Gradually Varied Flows

Go Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))

Depth of Flow given Energy Slope of Rectangular channel

Go Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(3/10))

Normal Depth given Energy Slope of Rectangular channel

Go Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow

Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel

Go Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3))

Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel

Go Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow

Bed Slope given Energy Slope of Rectangular channel

Go Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3)

Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel

Go Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)

Bottom Slope of Channel given Energy Gradient

Go Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope

Energy Gradient given Bed Slope

Go Hydraulic Gradient to Head Loss = Bed Slope of Channel-Energy Slope

Froude Number given Top Width Formula

Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))
Fr = sqrt(Q_f^2*T/([g]*S^3))

What is Froude Number?

In continuum mechanics, the Froude number is a dimensionless number defined as the ratio of the flow inertia to the external field.

How to Calculate Froude Number given Top Width?

Froude Number given Top Width calculator uses Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3)) to calculate the Froude Number, The Froude Number given Top Width formula is defined as a dimensionless quantity which is the ratio of inertial forces to gravity forces acting on the fluid. Froude Number is denoted by Fr symbol.

How to calculate Froude Number given Top Width using this online calculator? To use this online calculator for Froude Number given Top Width, enter Discharge for GVF Flow (Q_f), Top Width (T) & Wetted Surface Area (S) and hit the calculate button. Here is how the Froude Number given Top Width calculation can be explained with given input values -> 9.991667 = sqrt(177^2*2/([g]*4.01^3)).

FAQ

What is Froude Number given Top Width?

The Froude Number given Top Width formula is defined as a dimensionless quantity which is the ratio of inertial forces to gravity forces acting on the fluid and is represented as Fr = sqrt(Q_f^2*T/([g]*S^3)) or Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3)). Discharge for GVF Flow is rate of flow per unit time, Top Width is defined as width at top of section & Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

How to calculate Froude Number given Top Width?

The Froude Number given Top Width formula is defined as a dimensionless quantity which is the ratio of inertial forces to gravity forces acting on the fluid is calculated using Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3)). To calculate Froude Number given Top Width, you need Discharge for GVF Flow (Q_f), Top Width (T) & Wetted Surface Area (S). With our tool, you need to enter the respective value for Discharge for GVF Flow, Top Width & Wetted Surface Area 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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