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Top Width given Froude Number Formula

GoTop Width given Energy Gradient Formula

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Top Width is defined as width at top of section. Check FAQs

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

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

Top Width given Froude Number Example

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

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

Here is how the Top Width given Froude Number equation looks like.

2.0184 = \frac{10^{2} \cdot {4.01}^{3} \cdot 9.8066}{177^{2}}

2.0184m = \frac{10^{2} \cdot {4.01m²}^{3} \cdot 9.8066m/s²}{{177m³/s}^{2}}

2.0184 = \frac{10^{2} \cdot {4.01}^{3} \cdot 9.8066}{177^{2}}

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Top Width given Froude Number Formula Elements

Variables

Constants

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

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

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 Top Width

Go Top Width given Energy Gradient

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

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 Top Width given Froude Number?

Top Width given Froude Number evaluator uses Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2) to evaluate 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 evaluate Top Width given Froude Number using this online evaluator? To use this online evaluator 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.

FAQs on Top Width given Froude Number

What is the formula to find Top Width given Froude Number?

The formula of Top Width given Froude Number is expressed as Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2). Here is an example- 2.003337 = (10^2*4.01^3*[g])/(177^2).

How to calculate Top Width given Froude Number?

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

What are the other ways to Calculate Top Width?

Here are the different ways to Calculate Top Width-

Top Width=((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2)

Can the Top Width given Froude Number be negative?

No, the Top Width given Froude Number, measured in Length cannot be negative.

Which unit is used to measure Top Width given Froude Number?

Top Width given Froude Number is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Top Width given Froude Number can be measured.

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Top Width given Froude Number Formula

​GoTop Width given Energy Gradient Formula

Top Width given Froude Number Example

Top Width given Froude Number Solution

Top Width given Froude Number Formula Elements

Other Formulas to find Top Width

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Top Width given Froude Number?

FAQs on Top Width given Froude Number

Variable Name

GoTop Width given Energy Gradient Formula