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Discharge for GVF Flow is rate of flow per unit time. Check FAQs
Qf=FrT[g]⋅S3
Qf - Discharge for GVF Flow?Fr - Froude Number?T - Top Width?S - Wetted Surface Area?[g] - Gravitational acceleration on Earth?

Discharge given Froude Number Example

With values
With units
Only example

Here is how the Discharge given Froude Number equation looks like with Values.

Here is how the Discharge given Froude Number equation looks like with Units.

Here is how the Discharge given Froude Number equation looks like.

177.8123Edit=10Edit2Edit9.8066⋅4.01Edit3
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Discharge given Froude Number Solution

Follow our step by step solution on how to calculate Discharge given Froude Number?

FIRST Step Consider the formula
Qf=FrT[g]⋅S3
Next Step Substitute values of Variables
∴ Qf=102m[g]⋅4.01m²3
Next Step Substitute values of Constants
∴ Qf=102m9.8066m/s²⋅4.01m²3
Next Step Prepare to Evaluate
∴ Qf=1029.8066⋅4.013
Next Step Evaluate
∴Qf=177.812340655345m³/s
LAST Step Rounding Answer
∴Qf=177.8123m³/s

Discharge given Froude Number Formula Elements

Variables
Constants
Functions
Discharge for GVF Flow
Discharge for GVF Flow is rate of flow per unit time.
Symbol: Qf
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Formulas to find Discharge for GVF FlowOpen Variable
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.
Symbol: Fr
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Formulas to find Froude NumberOpen Variable
Top Width
Top Width is defined as width at top of section.
Symbol: T
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Top WidthOpen Variable
Wetted Surface Area
Wetted Surface Area is the total area of outer surface in contact with the surrounding water.
Symbol: S
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Wetted Surface AreaOpen Variable
Gravitational acceleration on Earth
Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.
Symbol: [g]
Value: 9.80665 m/s²
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.
Syntax: sqrt(Number)

Other Formulas to find Discharge for GVF Flow

​Go Discharge given Total Energy
Qf=((Et-df)⋅2⋅[g]⋅S2)0.5

Other formulas in Gradually Varied Flow in Channels category

​Go Slope of Dynamic Equation of Gradually Varied Flows
m=S0-Sf1-(Fr(d)2)
​Go Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow
S0=Sf+(m⋅(1-(Fr(d)2)))
​Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow
Fr(d)=1-(S0-Sfm)
​Go Froude Number given Top Width
Fr=Qf2⋅T[g]⋅S3

How to Evaluate Discharge given Froude Number?

Discharge given Froude Number evaluator uses Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3))) to evaluate 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 Qf symbol.

How to evaluate Discharge given Froude Number using this online evaluator? To use this online evaluator for Discharge given Froude Number, enter Froude Number (Fr), Top Width (T) & Wetted Surface Area (S) and hit the calculate button.

FAQs on Discharge given Froude Number

What is the formula to find Discharge given Froude Number?
The formula of Discharge given Froude Number is expressed as Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3))). Here is an example- 177.1476 = 10/(sqrt(2/([g]*4.01^3))).
How to calculate Discharge given Froude Number?
With Froude Number (Fr), Top Width (T) & Wetted Surface Area (S) we can find Discharge given Froude Number using the formula - Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3))). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).
What are the other ways to Calculate Discharge for GVF Flow?
Here are the different ways to Calculate Discharge for GVF Flow-
  • Discharge for GVF Flow=((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5OpenImg
Can the Discharge given Froude Number be negative?
No, the Discharge given Froude Number, measured in Volumetric Flow Rate cannot be negative.
Which unit is used to measure Discharge given Froude Number?
Discharge given Froude Number is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge given Froude Number can be measured.
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