Depth of Flow 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%
✖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%

✖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 given Total Energy [d_f]

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Depth of Flow given Total Energy Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Total Energy in Open Channel: 103.13 Joule --> 103.13 Joule 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

d_f = E_t-((Q_f^2)/(2*[g]*S^2)) --> 103.13-((177^2)/(2*[g]*4.01^2))

Evaluating ... ...

d_f = 3.79389749943867

STEP 3: Convert Result to Output's Unit

3.79389749943867 Meter --> No Conversion Required

FINAL ANSWER

3.79389749943867 ≈ 3.793897 Meter <-- Depth of Flow

(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!

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))

Depth of Flow given Total Energy Formula

LaTeX Go

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

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

How to calculate Depth of Flow given Total Energy using this online calculator? To use this online calculator for Depth of Flow given Total Energy, enter Total Energy in Open Channel (E_t), Discharge for GVF Flow (Q_f) & Wetted Surface Area (S) and hit the calculate button. Here is how the Depth of Flow given Total Energy calculation can be explained with given input values -> 3.296596 = 103.13-((177^2)/(2*[g]*4.01^2)).

FAQ

What is Depth of Flow given Total Energy?

The Depth of Flow given Total Energy formula is defined as the amount of liquid flowing the channel at point in the stream and is represented as d_f = E_t-((Q_f^2)/(2*[g]*S^2)) or Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2)). Total Energy in Open Channel is the sum of the kinetic energy and the potential energy of the system under consideration, 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 Depth of Flow given Total Energy?

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

How many ways are there to calculate Depth of Flow?

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

Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(3/10))
Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3))

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