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 Solution

STEP 0: Pre-Calculation Summary

Formula Used

Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2)
T = (Fr^2*S^3*[g])/(Q_f^2)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Top Width - (Measured in Meter) - Top Width is defined as width at top of section.
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.
Wetted Surface Area - (Measured in Square Meter) - Wetted Surface Area is the total area of outer surface in contact with the surrounding water.
Discharge for GVF Flow - (Measured in Cubic Meter per Second) - Discharge for GVF Flow is rate of flow per unit time.

STEP 1: Convert Input(s) to Base Unit

Froude Number: 10 --> No Conversion Required
Wetted Surface Area: 4.01 Square Meter --> 4.01 Square Meter No Conversion Required
Discharge for GVF Flow: 177 Cubic Meter per Second --> 177 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T = (Fr^2*S^3*[g])/(Q_f^2) --> (10^2*4.01^3*[g])/(177^2)

Evaluating ... ...

T = 2.01840010784465

STEP 3: Convert Result to Output's Unit

2.01840010784465 Meter --> No Conversion Required

FINAL ANSWER

2.01840010784465 ≈ 2.0184 Meter <-- Top Width

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Gradually Varied Flow in Channels Calculators

Froude Number given Top Width

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

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

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

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX 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

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

Top Width given Froude Number Formula

LaTeX Go

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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