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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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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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))

Froude Number given Top Width Formula

LaTeX Go

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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