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Area of Section given Froude Number Formula

GoArea of Section given Total Energy Formula

GoArea of Section given Energy Gradient Formula

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Wetted Surface Area is the total area of outer surface in contact with the surrounding water. Check FAQs

S = {(({Q f}^{2} \cdot \frac{T}{[g] \cdot {Fr}^{2}}))}^{\frac{1}{3}}

S - Wetted Surface Area?Q_f - Discharge for GVF Flow?T - Top Width?Fr - Froude Number?[g] - Gravitational acceleration on Earth?

Area of Section given Froude Number Example

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Here is how the Area of Section given Froude Number equation looks like with Values.

Here is how the Area of Section given Froude Number equation looks like with Units.

Here is how the Area of Section given Froude Number equation looks like.

3.9978 = {((177^{2} \cdot \frac{2}{9.8066 \cdot 10^{2}}))}^{\frac{1}{3}}

3.9978m² = {(({177m³/s}^{2} \cdot \frac{2m}{9.8066m/s² \cdot 10^{2}}))}^{\frac{1}{3}}

3.9978 = {((177^{2} \cdot \frac{2}{9.8066 \cdot 10^{2}}))}^{\frac{1}{3}}

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Area of Section given Froude Number Solution

Follow our step by step solution on how to calculate Area of Section given Froude Number?

FIRST Step Consider the formula

S = {(({Q f}^{2} \cdot \frac{T}{[g] \cdot {Fr}^{2}}))}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

S = {(({177m³/s}^{2} \cdot \frac{2m}{[g] \cdot 10^{2}}))}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

S = {(({177m³/s}^{2} \cdot \frac{2m}{9.8066m/s² \cdot 10^{2}}))}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

S = {((177^{2} \cdot \frac{2}{9.8066 \cdot 10^{2}}))}^{\frac{1}{3}}

Next Step Evaluate

∴

S = 3.99777748351656m²

LAST Step Rounding Answer

∴

S = 3.9978m²

Area of Section given Froude Number Formula Elements

Variables

Constants

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 Area

Discharge for GVF Flow

Discharge for GVF Flow is rate of flow per unit time.

Symbol: Q_f

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge for GVF Flow

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 Width

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 Number

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

Other Formulas to find Wetted Surface Area

Go Area of Section given Total Energy

S = {(\frac{{Q f}^{2}}{2 \cdot [g] \cdot (E t - d f)})}^{0.5}

Go Area of Section given Energy Gradient

S = {({Q eg}^{2} \cdot \frac{T}{(1 - (\frac{i}{m})) \cdot ([g])})}^{\frac{1}{3}}

Other formulas in Gradually Varied Flow in Channels category

Go Slope of Dynamic Equation of Gradually Varied Flows

m = \frac{S 0 - S f}{1 - ({F r(d)}^{2})}

Go Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

S 0 = S f + (m \cdot (1 - ({F r(d)}^{2})))

Go Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

F r(d) = \sqrt{1 - (\frac{S 0 - S f}{m})}

Go Froude Number given Top Width

Fr = \sqrt{{Q f}^{2} \cdot \frac{T}{[g] \cdot S^{3}}}

How to Evaluate Area of Section given Froude Number?

Area of Section given Froude Number evaluator uses Wetted Surface Area = ((Discharge for GVF Flow^2*Top Width/([g]*Froude Number^2)))^(1/3) to evaluate the Wetted Surface Area, The Area of Section given Froude Number is defined as the amount of surface which in contact with water at any time. Wetted Surface Area is denoted by S symbol.

How to evaluate Area of Section given Froude Number using this online evaluator? To use this online evaluator for Area of Section given Froude Number, enter Discharge for GVF Flow (Q_f), Top Width (T) & Froude Number (Fr) and hit the calculate button.

FAQs on Area of Section given Froude Number

What is the formula to find Area of Section given Froude Number?

The formula of Area of Section given Froude Number is expressed as Wetted Surface Area = ((Discharge for GVF Flow^2*Top Width/([g]*Froude Number^2)))^(1/3). Here is an example- 3.997777 = ((177^2*2/([g]*10^2)))^(1/3).

How to calculate Area of Section given Froude Number?

With Discharge for GVF Flow (Q_f), Top Width (T) & Froude Number (Fr) we can find Area of Section given Froude Number using the formula - Wetted Surface Area = ((Discharge for GVF Flow^2*Top Width/([g]*Froude Number^2)))^(1/3). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Wetted Surface Area?

Here are the different ways to Calculate Wetted Surface Area-

Wetted Surface Area=((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5
Wetted Surface Area=(Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3)

Can the Area of Section given Froude Number be negative?

No, the Area of Section given Froude Number, measured in Area cannot be negative.

Which unit is used to measure Area of Section given Froude Number?

Area of Section given Froude Number is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Section given Froude Number can be measured.

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: Unit

Area of Section given Froude Number Formula

​GoArea of Section given Total Energy Formula

​GoArea of Section given Energy Gradient Formula

Area of Section given Froude Number Example

Area of Section given Froude Number Solution

Area of Section given Froude Number Formula Elements

Other Formulas to find Wetted Surface Area

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Area of Section given Froude Number?

FAQs on Area of Section given Froude Number

Variable Name

GoArea of Section given Total Energy Formula

GoArea of Section given Energy Gradient Formula