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Top Width given Energy Gradient Formula

GoTop Width given Froude Number Formula

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

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

T - Top Width?i - Hydraulic Gradient to Head Loss?m - Slope of Line?S - Wetted Surface Area?Q_eg - Discharge by Energy Gradient?[g] - Gravitational acceleration on Earth?

Top Width given Energy Gradient Example

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Here is how the Top Width given Energy Gradient equation looks like with Values.

Here is how the Top Width given Energy Gradient equation looks like with Units.

Here is how the Top Width given Energy Gradient equation looks like.

2.0033 = ((1 - (\frac{2.02}{4})) \cdot \frac{9.8066 \cdot {4.01}^{3}}{{12.5}^{2}})

2.0033m = ((1 - (\frac{2.02}{4})) \cdot \frac{9.8066m/s² \cdot {4.01m²}^{3}}{{12.5m³/s}^{2}})

2.0033 = ((1 - (\frac{2.02}{4})) \cdot \frac{9.8066 \cdot {4.01}^{3}}{{12.5}^{2}})

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Top Width given Energy Gradient Formula Elements

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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

Hydraulic Gradient to Head Loss

Hydraulic Gradient to Head Loss is a specific measurement of liquid pressure above a vertical datum.

Symbol: i

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Hydraulic Gradient to Head Loss

Slope of Line

The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Symbol: m

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of Line

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 by Energy Gradient

Discharge by Energy Gradient is rate of floe per unit time.

Symbol: Q_eg

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge by Energy Gradient

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 Froude Number

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

Top Width given Energy Gradient evaluator uses Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2) to evaluate the Top Width, The Top Width given Energy Gradient formula is defined as width of channel at top surface of channel. Top Width is denoted by T symbol.

How to evaluate Top Width given Energy Gradient using this online evaluator? To use this online evaluator for Top Width given Energy Gradient, enter Hydraulic Gradient to Head Loss (i), Slope of Line (m), Wetted Surface Area (S) & Discharge by Energy Gradient (Q_eg) and hit the calculate button.

FAQs on Top Width given Energy Gradient

What is the formula to find Top Width given Energy Gradient?

The formula of Top Width given Energy Gradient is expressed as Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2). Here is an example- 1.988318 = ((1-(2.02/4))*([g]*4.01^3)/12.5^2).

How to calculate Top Width given Energy Gradient?

With Hydraulic Gradient to Head Loss (i), Slope of Line (m), Wetted Surface Area (S) & Discharge by Energy Gradient (Q_eg) we can find Top Width given Energy Gradient using the formula - Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^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=(Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2)

Can the Top Width given Energy Gradient be negative?

No, the Top Width given Energy Gradient, measured in Length cannot be negative.

Which unit is used to measure Top Width given Energy Gradient?

Top Width given Energy Gradient 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 Energy Gradient can be measured.

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Top Width given Energy Gradient Formula

​GoTop Width given Froude Number Formula

Top Width given Energy Gradient Example

Top Width given Energy Gradient Solution

Top Width given Energy Gradient Formula Elements

Other Formulas to find Top Width

Other formulas in Gradually Varied Flow in Channels category

How to Evaluate Top Width given Energy Gradient?

FAQs on Top Width given Energy Gradient

Variable Name

GoTop Width given Froude Number Formula