Top Width given Froude Number Calculator

✖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 [Fr]			+10% -10%
✖Wetted Surface Area is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area [S]			+10% -10%
✖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 given Froude Number [T]

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Top Width given Froude Number

Formula

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

Example

`"2.0184m"=(("10")^2*("4.01m²")^3*"[g]")/(("177m³/s")^2)`

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Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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

Top Width given Froude Number Formula

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

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 Top Width given Froude Number?

Top Width given Froude Number calculator uses Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2) to calculate the Top Width, The Top Width given Froude Number formula is defined as width of surface which in contact of water at top. Top Width is denoted by T symbol.

How to calculate Top Width given Froude Number using this online calculator? To use this online calculator for Top Width given Froude Number, enter Froude Number (Fr), Wetted Surface Area (S) & Discharge for GVF Flow (Q_f) and hit the calculate button. Here is how the Top Width given Froude Number calculation can be explained with given input values -> 2.003337 = (10^2*4.01^3*[g])/(177^2).

FAQ

What is Top Width given Froude Number?

The Top Width given Froude Number formula is defined as width of surface which in contact of water at top and is represented as T = (Fr^2*S^3*[g])/(Q_f^2) or Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2). Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders, Wetted Surface Area is the total area of outer surface in contact with the surrounding water & Discharge for GVF Flow is rate of flow per unit time.

How to calculate Top Width given Froude Number?

The Top Width given Froude Number formula is defined as width of surface which in contact of water at top is calculated using Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2). To calculate Top Width given Froude Number, you need Froude Number (Fr), Wetted Surface Area (S) & Discharge for GVF Flow (Q_f). With our tool, you need to enter the respective value for Froude Number, Wetted Surface Area & Discharge for GVF Flow 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 Top Width?

In this formula, Top Width uses Froude Number, Wetted Surface Area & Discharge for GVF Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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Top Width given Froude Number

Top Width given Froude Number Solution

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< 24 Gradually Varied Flow in Channels Calculators

Top Width given Froude Number Formula

What is Froude Number?

How to Calculate Top Width given Froude Number?

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