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)
Et = df+(Qf^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
Et = df+(Qf^2)/(2*[g]*S^2) --> 3.3+(177^2)/(2*[g]*4.01^2)
Evaluating ... ...
Et = 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 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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National Institute of Technology (NIT), Warangal
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24 Gradually Varied Flow in Channels Calculators

Area of Section given Energy Gradient
Go Wetted Surface Area = (Discharge by Energy Gradient^2*Top Width/((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g])))^(1/3)
Discharge given Energy Gradient
Go Discharge by Energy Gradient = (((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Top Width))^0.5
Top Width given Energy Gradient
Go Top Width = ((1-(Hydraulic Gradient to Head Loss/Slope of Line))*([g]*Wetted Surface Area^3)/Discharge by Energy Gradient^2)
Slope of Dynamic Equation of Gradually Varied Flow given Energy Gradient
Go Slope of Line = Hydraulic Gradient to Head Loss/(1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))
Energy Gradient given Slope
Go Hydraulic Gradient to Head Loss = (1-(Discharge by Energy Gradient^2*Top Width/([g]*Wetted Surface Area^3)))*Slope of Line
Froude Number given Top Width
Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))
Discharge given Froude Number
Go Discharge for GVF Flow = Froude Number/(sqrt(Top Width/([g]*Wetted Surface Area^3)))
Area of Section given Total Energy
Go Wetted Surface Area = ((Discharge for GVF Flow^2)/(2*[g]*(Total Energy in Open Channel-Depth of Flow)))^0.5
Depth of Flow given Total Energy
Go Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2))
Discharge given Total Energy
Go Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5
Total Energy of Flow
Go Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)
Froude Number given Slope of Dynamic Equation of Gradually Varied Flow
Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))
Area of Section given Froude Number
Go Wetted Surface Area = ((Discharge for GVF Flow^2*Top Width/([g]*Froude Number^2)))^(1/3)
Top Width given Froude Number
Go Top Width = (Froude Number^2*Wetted Surface Area^3*[g])/(Discharge for GVF Flow^2)
Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow
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
Go Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))
Depth of Flow given Energy Slope of Rectangular channel
Go Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(3/10))
Normal Depth given Energy Slope of Rectangular channel
Go Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow
Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel
Go Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3))
Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel
Go Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow
Bed Slope given Energy Slope of Rectangular channel
Go Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3)
Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel
Go Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)
Bottom Slope of Channel given Energy Gradient
Go Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope
Energy Gradient given Bed Slope
Go Hydraulic Gradient to Head Loss = Bed Slope of Channel-Energy Slope

Total Energy of Flow Formula

Total Energy in Open Channel = Depth of Flow+(Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)
Et = df+(Qf^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 Et 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 (df), Discharge for GVF Flow (Qf) & 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 Et = df+(Qf^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 (df), Discharge for GVF Flow (Qf) & 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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