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Area of Section given Energy Gradient Formula

GoArea of Section given Froude Number Formula

GoArea of Section given Total Energy 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 eg}^{2} \cdot \frac{T}{(1 - (\frac{i}{m})) \cdot ([g])})}^{\frac{1}{3}}

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

Area of Section given Energy Gradient Example

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Here is how the Area of Section given Energy Gradient equation looks like with Values.

Here is how the Area of Section given Energy Gradient equation looks like with Units.

Here is how the Area of Section given Energy Gradient equation looks like.

4.0078 = {({12.5}^{2} \cdot \frac{2}{(1 - (\frac{2.02}{4})) \cdot (9.8066)})}^{\frac{1}{3}}

4.0078m² = {({12.5m³/s}^{2} \cdot \frac{2m}{(1 - (\frac{2.02}{4})) \cdot (9.8066m/s²)})}^{\frac{1}{3}}

4.0078 = {({12.5}^{2} \cdot \frac{2}{(1 - (\frac{2.02}{4})) \cdot (9.8066)})}^{\frac{1}{3}}

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Area of Section given Energy Gradient Solution

Follow our step by step solution on how to calculate Area of Section given Energy Gradient?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = {({12.5m³/s}^{2} \cdot \frac{2m}{(1 - (\frac{2.02}{4})) \cdot ([g])})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

S = 4.0078185315711m²

LAST Step Rounding Answer

∴

S = 4.0078m²

Area of Section given Energy Gradient 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 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

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

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 Froude Number

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

Go Area of Section given Total Energy

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

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 Energy Gradient?

Area of Section given Energy Gradient evaluator uses Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3) to evaluate the Wetted Surface Area, The Area of Section given Energy Gradient formula is defined as area of Section which is in contact with water. Wetted Surface Area is denoted by S symbol.

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

FAQs on Area of Section given Energy Gradient

What is the formula to find Area of Section given Energy Gradient?

The formula of Area of Section given Energy Gradient is expressed as Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3). Here is an example- 4.007819 = (12.5^2*2/((1-(2.02/4))*([g])))^(1/3).

How to calculate Area of Section given Energy Gradient?

With Discharge by Energy Gradient (Q_eg), Top Width (T), Hydraulic Gradient to Head Loss (i) & Slope of Line (m) we can find Area of Section given Energy Gradient using the formula - Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(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*Top Width/([g]*Froude Number^2)))^(1/3)
Wetted Surface Area=((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5

Can the Area of Section given Energy Gradient be negative?

No, the Area of Section given Energy Gradient, measured in Area cannot be negative.

Which unit is used to measure Area of Section given Energy Gradient?

Area of Section given Energy Gradient 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 Energy Gradient can be measured.

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: Unit

Area of Section given Energy Gradient Formula

​GoArea of Section given Froude Number Formula

​GoArea of Section given Total Energy Formula

Area of Section given Energy Gradient Example

Area of Section given Energy Gradient Solution

Area of Section given Energy Gradient 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 Energy Gradient?

FAQs on Area of Section given Energy Gradient

Variable Name

GoArea of Section given Froude Number Formula

GoArea of Section given Total Energy Formula