Depth of Flow given Total Energy per Unit Weight of Water in Flow Section Calculator

✖Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.ⓘ Total Energy [E_total]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.ⓘ Height above Datum [y]			+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 per Unit Weight of Water in Flow Section [d_f]

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Formula

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Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

Formula

`"d"_{"f"} = "E"_{"total"}-((("V"_{"mean"}^2)/(2*"[g]"))+"y")`

Example

`"3.358937m"="8.6J"-(((("10.1m/s")^2)/(2*"[g]"))+"40mm")`

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Depth of Flow given Total Energy per Unit Weight of Water in Flow Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)
d_f = E_total-(((V_mean^2)/(2*[g]))+y)
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 - (Measured in Joule) - Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Height above Datum - (Measured in Meter) - Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.

STEP 1: Convert Input(s) to Base Unit

Total Energy: 8.6 Joule --> 8.6 Joule No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Height above Datum: 40 Millimeter --> 0.04 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = E_total-(((V_mean^2)/(2*[g]))+y) --> 8.6-(((10.1^2)/(2*[g]))+0.04)

Evaluating ... ...

d_f = 3.35893745570608

STEP 3: Convert Result to Output's Unit

3.35893745570608 Meter --> No Conversion Required

FINAL ANSWER

3.35893745570608 ≈ 3.358937 Meter <-- Depth of Flow

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Specific Energy and Critical Depth » Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

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National Institute of Technology Karnataka (NITK), Surathkal

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< 23 Specific Energy and Critical Depth Calculators

Discharge through Area

Go Discharge of Channel = sqrt(2*[g]*Cross-Sectional Area of Channel^2*(Total Energy-Depth of Flow))

Area of Section given Discharge

Go Cross-Sectional Area of Channel = Discharge of Channel/sqrt(2*[g]*(Total Energy-Depth of Flow))

Volume of Liquid Considering Condition of Maximum Discharge

Go Volume of Water = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)*Time Interval

Mean Velocity of Flow for Total Energy per Unit Weight of Water in Flow Section

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g])

Total Energy per unit Weight of Water in Flow Section given Discharge

Go Total Energy = Depth of Flow+(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

Area of Section Considering Condition of Maximum Discharge

Go Cross-Sectional Area of Channel = (Discharge of Channel*Discharge of Channel*Top Width/[g])^(1/3)

Depth of Flow given Discharge

Go Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

Discharge through Section Considering Condition of Minimum Specific Energy

Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)

Discharge through Section Considering Condition of Maximum Discharge

Go Discharge of Channel = sqrt((Cross-Sectional Area of Channel^3)*[g]/Top Width)

Top Width of Section Considering Condition of Maximum Discharge

Go Top Width = sqrt((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)

Datum Height for Total Energy per unit Weight of Water in Flow Section

Go Height above Datum = Total Energy-(((Mean Velocity^2)/(2*[g]))+Depth of Flow)

Mean Velocity of Flow given Froude Number

Go Mean Velocity for Froude Number = Froude Number*sqrt(Diameter of Section*[g])

Froude Number given Velocity

Go Froude Number = Mean Velocity for Froude Number/sqrt([g]*Diameter of Section)

Total Energy per unit Weight of Water in Flow Section

Go Total Energy = ((Mean Velocity^2)/(2*[g]))+Depth of Flow+Height above Datum

Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum

Go Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g])

Diameter of Section given Froude Number

Go Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]

Area of Section of Open Channel Considering Condition of Minimum Specific Energy

Go Cross-Sectional Area of Channel = (Discharge of Channel*Top Width/[g])^(1/3)

Top Width of Section through Section Considering Condition of Minimum Specific Energy

Go Top Width = ((Cross-Sectional Area of Channel^3)*[g]/Discharge of Channel)

Total Energy per unit Weight of Water in Flow Section considering Bed Slope as Datum

Go Total Energy = ((Mean Velocity for Froude Number^2)/(2*[g]))+Depth of Flow

Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum

Go Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))

Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy

Go Mean Velocity = sqrt([g]*Diameter of Section)

Diameter of Section through Section Considering Condition of Minimum Specific Energy

Go Diameter of Section = (Mean Velocity^2)/[g]

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section Formula

Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum)
d_f = E_total-(((V_mean^2)/(2*[g]))+y)

What is Depth of Flow?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Note: Flow at normal depth in culverts often presents the highest average velocities and shallowest depths at that flow.

How to Calculate Depth of Flow given Total Energy per Unit Weight of Water in Flow Section?

Depth of Flow given Total Energy per Unit Weight of Water in Flow Section calculator uses Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum) to calculate the Depth of Flow, The Depth of Flow given Total Energy per Unit Weight of Water in Flow Section is defined as the amount of fluid flow in channel . Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow given Total Energy per Unit Weight of Water in Flow Section using this online calculator? To use this online calculator for Depth of Flow given Total Energy per Unit Weight of Water in Flow Section, enter Total Energy (E_total), Mean Velocity (V_mean) & Height above Datum (y) and hit the calculate button. Here is how the Depth of Flow given Total Energy per Unit Weight of Water in Flow Section calculation can be explained with given input values -> 3.358937 = 8.6-(((10.1^2)/(2*[g]))+0.04).

FAQ

What is Depth of Flow given Total Energy per Unit Weight of Water in Flow Section?

The Depth of Flow given Total Energy per Unit Weight of Water in Flow Section is defined as the amount of fluid flow in channel and is represented as d_f = E_total-(((V_mean^2)/(2*[g]))+y) or Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum). Total Energy is the sum of the kinetic energy and the potential energy of the system under consideration, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Height above datum is the elevation from surface of zero elevation to which heights of various points are referenced.

How to calculate Depth of Flow given Total Energy per Unit Weight of Water in Flow Section?

The Depth of Flow given Total Energy per Unit Weight of Water in Flow Section is defined as the amount of fluid flow in channel is calculated using Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))+Height above Datum). To calculate Depth of Flow given Total Energy per Unit Weight of Water in Flow Section, you need Total Energy (E_total), Mean Velocity (V_mean) & Height above Datum (y). With our tool, you need to enter the respective value for Total Energy, Mean Velocity & Height above Datum 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, Mean Velocity & Height above Datum. We can use 2 other way(s) to calculate the same, which is/are as follows -

Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))
Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))

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