Total Energy of Flow Calculator

✖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%
✖Discharge for GVF Flow is rate of flow per unit time.ⓘ Discharge for GVF Flow [Q_f]			+10% -10%
✖Wetted Surface Area is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area [S]			+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 of Flow [E_t]

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Total Energy of Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
Discharge for GVF Flow - (Measured in Cubic Meter per Second) - Discharge for GVF Flow is rate of flow per unit time.
Wetted Surface Area - (Measured in Square Meter) - Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

STEP 1: Convert Input(s) to Base Unit

Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
Discharge for GVF Flow: 177 Cubic Meter per Second --> 177 Cubic Meter per Second No Conversion Required
Wetted Surface Area: 4.01 Square Meter --> 4.01 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_t = d_f+(Q_f^2)/(2*[g]*S^2) --> 3.3+(177^2)/(2*[g]*4.01^2)

Evaluating ... ...

E_t = 102.636102500561

STEP 3: Convert Result to Output's Unit

102.636102500561 Joule --> No Conversion Required

FINAL ANSWER

102.636102500561 ≈ 102.6361 Joule <-- Total Energy in Open Channel

(Calculation completed in 00.007 seconds)

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Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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))

Total Energy of Flow Formula

LaTeX Go

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

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 Total Energy of Flow?

Total Energy of Flow calculator uses Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2) to calculate the Total Energy in Open Channel, The Total Energy of Flow formula is defined as amount of energy generated by the flow of water in the channel at any position in channel. Total Energy in Open Channel is denoted by E_t symbol.

How to calculate Total Energy of Flow using this online calculator? To use this online calculator for Total Energy of Flow, enter Depth of Flow (d_f), Discharge for GVF Flow (Q_f) & Wetted Surface Area (S) and hit the calculate button. Here is how the Total Energy of Flow calculation can be explained with given input values -> 103.1334 = 3.3+(177^2)/(2*[g]*4.01^2).

FAQ

What is Total Energy of Flow?

The Total Energy of Flow formula is defined as amount of energy generated by the flow of water in the channel at any position in channel and is represented as E_t = d_f+(Q_f^2)/(2*[g]*S^2) or Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2). 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, Discharge for GVF Flow is rate of flow per unit time & Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

How to calculate Total Energy of Flow?

The Total Energy of Flow formula is defined as amount of energy generated by the flow of water in the channel at any position in channel is calculated using Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2). To calculate Total Energy of Flow, you need Depth of Flow (d_f), Discharge for GVF Flow (Q_f) & Wetted Surface Area (S). With our tool, you need to enter the respective value for Depth of Flow, Discharge for GVF Flow & Wetted Surface Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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