Discharge 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%
✖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%

✖Discharge for GVF Flow is rate of flow per unit time.ⓘ Discharge given Froude Number [Q_f]

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Discharge given Froude Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Discharge for GVF Flow - (Measured in Cubic Meter per Second) - Discharge for GVF Flow is rate of flow per unit time.
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.
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

Froude Number: 10 --> 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

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

Evaluating ... ...

Q_f = 177.812340655345

STEP 3: Convert Result to Output's Unit

177.812340655345 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

177.812340655345 ≈ 177.8123 Cubic Meter per Second <-- Discharge for GVF Flow

(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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Meerut Institute of Engineering and Technology (MIET), Meerut

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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))

Discharge given Froude Number Formula

LaTeX Go

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

Discharge given Froude Number calculator uses Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3))) to calculate the Discharge for GVF Flow, The Discharge given Froude Number formula is defined as the amount of fluid flowing in the channel at any point of time. Discharge for GVF Flow is denoted by Q_f symbol.

How to calculate Discharge given Froude Number using this online calculator? To use this online calculator for Discharge given Froude Number, enter Froude Number (Fr), Top Width (T) & Wetted Surface Area (S) and hit the calculate button. Here is how the Discharge given Froude Number calculation can be explained with given input values -> 177.1476 = 10/(sqrt(2/([g]*4.01^3))).

FAQ

What is Discharge given Froude Number?

The Discharge given Froude Number formula is defined as the amount of fluid flowing in the channel at any point of time and is represented as Q_f = Fr/(sqrt(T/([g]*S^3))) or Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3))). Froude Number is a measurement of bulk flow characteristics such as waves, sand bedforms, flow/depth interactions at a cross section or between boulders, 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 Discharge given Froude Number?

The Discharge given Froude Number formula is defined as the amount of fluid flowing in the channel at any point of time is calculated using Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3))). To calculate Discharge given Froude Number, you need Froude Number (Fr), Top Width (T) & Wetted Surface Area (S). With our tool, you need to enter the respective value for Froude Number, 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.

How many ways are there to calculate Discharge for GVF Flow?

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

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

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