Discharge given Total Energy Calculator

✖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.ⓘ Wetted Surface Area [S]			+10% -10%

✖Discharge for GVF Flow is rate of flow per unit time.ⓘ Discharge given Total Energy [Q_f]

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Discharge given Total Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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

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
Wetted Surface Area: 4.01 Square Meter --> 4.01 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q_f = ((E_t-d_f)*2*[g]*S^2)^0.5 --> ((103.13-3.3)*2*[g]*4.01^2)^0.5

Evaluating ... ...

Q_f = 177.439474984271

STEP 3: Convert Result to Output's Unit

177.439474984271 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

177.439474984271 ≈ 177.4395 Cubic Meter per Second <-- Discharge for GVF Flow

(Calculation completed in 00.020 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!

Verified by Ishita Goyal

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))

Discharge given Total Energy Formula

LaTeX Go

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

Discharge given Total Energy calculator uses Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5 to calculate the Discharge for GVF Flow, The Discharge given Total Energy formula is defined as the amount of liquid flowing in channel per unit time at any point. Discharge for GVF Flow is denoted by Q_f symbol.

How to calculate Discharge given Total Energy using this online calculator? To use this online calculator for Discharge given Total Energy, enter Total Energy in Open Channel (E_t), Depth of Flow (d_f) & Wetted Surface Area (S) and hit the calculate button. Here is how the Discharge given Total Energy calculation can be explained with given input values -> 176.997 = ((103.13-3.3)*2*[g]*4.01^2)^0.5.

FAQ

What is Discharge given Total Energy?

The Discharge given Total Energy formula is defined as the amount of liquid flowing in channel per unit time at any point and is represented as Q_f = ((E_t-d_f)*2*[g]*S^2)^0.5 or Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5. 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 & Wetted Surface Area is the total area of outer surface in contact with the surrounding water.

How to calculate Discharge given Total Energy?

The Discharge given Total Energy formula is defined as the amount of liquid flowing in channel per unit time at any point is calculated using Discharge for GVF Flow = ((Total Energy in Open Channel-Depth of Flow)*2*[g]*Wetted Surface Area^2)^0.5. To calculate Discharge given Total Energy, you need Total Energy in Open Channel (E_t), Depth of Flow (d_f) & Wetted Surface Area (S). With our tool, you need to enter the respective value for Total Energy in Open Channel, Depth of 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.

How many ways are there to calculate Discharge for GVF Flow?

In this formula, Discharge for GVF Flow uses Total Energy in Open Channel, Depth of Flow & Wetted Surface Area. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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