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

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g])))
df = Etotal-(((Vmean^2)/(2*[g])))
This formula uses 1 Constants, 3 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.
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
df = Etotal-(((Vmean^2)/(2*[g]))) --> 8.6-(((10.1^2)/(2*[g])))
Evaluating ... ...
df = 3.39893745570608
STEP 3: Convert Result to Output's Unit
3.39893745570608 Meter --> No Conversion Required
FINAL ANSWER
3.39893745570608 โ‰ˆ 3.398937 Meter <-- Depth of Flow
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
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 in Flow Section taking Bed Slope as Datum Formula

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

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 in Flow Section taking Bed Slope as Datum?

Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum calculator uses Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))) to calculate the Depth of Flow, The Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is defined as the depth of flow in a section can be determined from the total energy using appropriate hydraulic equations. Depth of Flow is denoted by df symbol.

How to calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum using this online calculator? To use this online calculator for Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum, enter Total Energy (Etotal) & Mean Velocity (Vmean) and hit the calculate button. Here is how the Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum calculation can be explained with given input values -> 3.398937 = 8.6-(((10.1^2)/(2*[g]))).

FAQ

What is Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?
The Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is defined as the depth of flow in a section can be determined from the total energy using appropriate hydraulic equations and is represented as df = Etotal-(((Vmean^2)/(2*[g]))) or Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))). 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.
How to calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum?
The Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum is defined as the depth of flow in a section can be determined from the total energy using appropriate hydraulic equations is calculated using Depth of Flow = Total Energy-(((Mean Velocity^2)/(2*[g]))). To calculate Depth of Flow given Total Energy in Flow Section taking Bed Slope as Datum, you need Total Energy (Etotal) & Mean Velocity (Vmean). With our tool, you need to enter the respective value for Total Energy & Mean Velocity 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. 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]))+Height above Datum)
  • Depth of Flow = Total Energy-(((Discharge of Channel/Cross-Sectional Area of Channel)^2)/(2*[g]))
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