Area of Section given Total Energy Calculator

✖Discharge for GVF Flow is rate of flow per unit time.ⓘ Discharge for GVF Flow [Q_f]			+10% -10%
✖Total Energy in Open Channel is the sum of the kinetic energy and the potential energy of the system under consideration.ⓘ Total Energy in Open Channel [E_t]			+10% -10%
✖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.ⓘ Depth of Flow [d_f]			+10% -10%

✖Wetted Surface Area is the total area of outer surface in contact with the surrounding water.ⓘ Area of Section given Total Energy [S]

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Area of Section given Total Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5
S = ((Q_f^2)/(2*[g]*(E_t-d_f)))^0.5
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Wetted Surface Area - (Measured in Square Meter) - Wetted Surface Area is the total area of outer surface in contact with the surrounding water.
Discharge for GVF Flow - (Measured in Cubic Meter per Second) - Discharge for GVF Flow is rate of flow per unit time.
Total Energy in Open Channel - (Measured in Joule) - Total Energy in Open Channel is the sum of the kinetic energy and the potential energy of the system under consideration.
Depth of Flow - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Discharge for GVF Flow: 177 Cubic Meter per Second --> 177 Cubic Meter per Second No Conversion Required
Total Energy in Open Channel: 103.13 Joule --> 103.13 Joule No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((Q_f^2)/(2*[g]*(E_t-d_f)))^0.5 --> ((177^2)/(2*[g]*(103.13-3.3)))^0.5

Evaluating ... ...

S = 4.00006819262126

STEP 3: Convert Result to Output's Unit

4.00006819262126 Square Meter --> No Conversion Required

FINAL ANSWER

4.00006819262126 ≈ 4.000068 Square Meter <-- Wetted Surface Area

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Gradually Varied Flow in Channels Calculators

Froude Number given Top Width

LaTeX Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

LaTeX Go Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))

Slope of Dynamic Equation of Gradually Varied Flows

LaTeX Go Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))

Area of Section given Total Energy Formula

LaTeX Go

Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5
S = ((Q_f^2)/(2*[g]*(E_t-d_f)))^0.5

What is Specific Energy in Open Channel flow?

In open channel flow, specific energy ( e ) is the energy length, or head, relative to the channel bottom. It is also the fundamental relationship used in the standard step method to calculate how the depth of a flow changes over a reach from the energy gained or lost due to the slope of the channel.

How to Calculate Area of Section given Total Energy?

Area of Section given Total Energy calculator uses Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5 to calculate 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 calculate Area of Section given Total Energy using this online calculator? To use this online calculator 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. Here is how the Area of Section given Total Energy calculation can be explained with given input values -> 4.000068 = ((177^2)/(2*[g]*(103.13-3.3)))^0.5.

FAQ

What is Area of Section given Total Energy?

The Area of Section given Total Energy formula is defined as the wetted area which in being in contact with water and is represented as S = ((Q_f^2)/(2*[g]*(E_t-d_f)))^0.5 or Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5. Discharge for GVF Flow is rate of flow per unit time, Total Energy in Open Channel is the sum of the kinetic energy and the potential energy of the system under consideration & 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.

How to calculate Area of Section given Total Energy?

The Area of Section given Total Energy formula is defined as the wetted area which in being in contact with water is calculated using Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5. To calculate Area of Section given Total Energy, you need Discharge for GVF Flow (Q_f), Total Energy in Open Channel (E_t) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Discharge for GVF Flow, Total Energy in Open Channel & Depth of Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wetted Surface Area?

In this formula, Wetted Surface Area uses Discharge for GVF Flow, Total Energy in Open Channel & Depth of Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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