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Area of Section given Total Energy Formula

GoArea of Section given Froude Number 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 = {(\frac{{Q f}^{2}}{2 \cdot [g] \cdot (E t - d f)})}^{0.5}

S - Wetted Surface Area?Q_f - Discharge for GVF Flow?E_t - Total Energy in Open Channel?d_f - Depth of Flow?[g] - Gravitational acceleration on Earth?

Area of Section given Total Energy Example

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

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

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

4.0001 = {(\frac{177^{2}}{2 \cdot 9.8066 \cdot (103.13 - 3.3)})}^{0.5}

4.0001m² = {(\frac{{177m³/s}^{2}}{2 \cdot 9.8066m/s² \cdot (103.13J - 3.3m)})}^{0.5}

4.0001 = {(\frac{177^{2}}{2 \cdot 9.8066 \cdot (103.13 - 3.3)})}^{0.5}

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Area of Section given Total Energy Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = {(\frac{{177m³/s}^{2}}{2 \cdot [g] \cdot (103.13J - 3.3m)})}^{0.5}

Next Step Substitute values of Constants

∴

S = {(\frac{{177m³/s}^{2}}{2 \cdot 9.8066m/s² \cdot (103.13J - 3.3m)})}^{0.5}

Next Step Prepare to Evaluate

∴

S = {(\frac{177^{2}}{2 \cdot 9.8066 \cdot (103.13 - 3.3)})}^{0.5}

Next Step Evaluate

∴

S = 4.00006819262126m²

LAST Step Rounding Answer

∴

S = 4.0001m²

Area of Section given Total Energy 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

Total Energy in Open Channel

Total Energy in Open Channel is the sum of the kinetic energy and the potential energy of the system under consideration.

Symbol: E_t

Measurement: EnergyUnit: J

Note: Value should be greater than 0.

Formulas to find Total Energy in Open Channel

Depth of Flow

Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of 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 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 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 Total Energy?

Area of Section given Total Energy evaluator uses Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5 to evaluate the Wetted Surface Area, The Area of Section given Total Energy formula is defined as the wetted area which in being in contact with water. Wetted Surface Area is denoted by S symbol.

How to evaluate Area of Section given Total Energy using this online evaluator? To use this online evaluator for Area of Section given Total Energy, enter Discharge for GVF Flow (Q_f), Total Energy in Open Channel (E_t) & Depth of Flow (d_f) and hit the calculate button.

FAQs on Area of Section given Total Energy

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

The formula of Area of Section given Total Energy is expressed as Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5. Here is an example- 4.000068 = ((177^2)/(2*[g]*(103.13-3.3)))^0.5.

How to calculate Area of Section given Total Energy?

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

Can the Area of Section given Total Energy be negative?

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

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

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

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Area of Section given Total Energy Formula

​GoArea of Section given Froude Number Formula

​GoArea of Section given Energy Gradient Formula

Area of Section given Total Energy Example

Area of Section given Total Energy Solution

Area of Section given Total Energy 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 Total Energy?

FAQs on Area of Section given Total Energy

Variable Name

GoArea of Section given Froude Number Formula

GoArea of Section given Energy Gradient Formula