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

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g])
Vmean = sqrt((Etotal-(df))*2*[g])
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
Total Energy - (Measured in Joule) - Total Energy 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.
STEP 1: Convert Input(s) to Base Unit
Total Energy: 8.6 Joule --> 8.6 Joule No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = sqrt((Etotal-(df))*2*[g]) --> sqrt((8.6-(3.3))*2*[g])
Evaluating ... ...
Vmean = 10.1956113107552
STEP 3: Convert Result to Output's Unit
10.1956113107552 Meter per Second --> No Conversion Required
FINAL ANSWER
10.1956113107552 10.19561 Meter per Second <-- Mean Velocity
(Calculation completed in 00.004 seconds)

Credits

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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]

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

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

What is Average Velocity?

The average velocity of an object is its total displacement divided by the total time taken. In other words, it is the rate at which an object changes its position from one place to another. Average velocity is a vector quantity.

How to Calculate Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum?

Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum calculator uses Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g]) to calculate the Mean Velocity, Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum formula is defined as average velocity in pipe or channel at all point in direction of flow. Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum using this online calculator? To use this online calculator for Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum, enter Total Energy (Etotal) & Depth of Flow (df) and hit the calculate button. Here is how the Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum calculation can be explained with given input values -> 10.19561 = sqrt((8.6-(3.3))*2*[g]).

FAQ

What is Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum?
Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum formula is defined as average velocity in pipe or channel at all point in direction of flow and is represented as Vmean = sqrt((Etotal-(df))*2*[g]) or Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g]). Total Energy 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.
How to calculate Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum?
Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum formula is defined as average velocity in pipe or channel at all point in direction of flow is calculated using Mean Velocity = sqrt((Total Energy-(Depth of Flow))*2*[g]). To calculate Mean Velocity of flow given Total Energy in flow section taking Bed Slope as Datum, you need Total Energy (Etotal) & Depth of Flow (df). With our tool, you need to enter the respective value for Total Energy & Depth of Flow 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 Mean Velocity?
In this formula, Mean Velocity uses Total Energy & Depth of Flow. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Mean Velocity = sqrt((Total Energy-(Depth of Flow+Height above Datum))*2*[g])
  • Mean Velocity = sqrt([g]*Diameter of Section)
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