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

STEP 0: Pre-Calculation Summary
Formula Used
Mean Velocity = sqrt([g]*Diameter of Section)
Vmean = sqrt([g]*dsection)
This formula uses 1 Constants, 1 Functions, 2 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.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
STEP 1: Convert Input(s) to Base Unit
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmean = sqrt([g]*dsection) --> sqrt([g]*5)
Evaluating ... ...
Vmean = 7.00237459723486
STEP 3: Convert Result to Output's Unit
7.00237459723486 Meter per Second --> No Conversion Required
FINAL ANSWER
7.00237459723486 โ‰ˆ 7.002375 Meter per Second <-- Mean Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Meerut Institute of Engineering and Technology (MIET), Meerut
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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 through Section Considering Condition of Minimum Specific Energy Formula

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

What is Average Velocity?

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity is equivalent to a specification of an object's speed and direction of motion.

How to Calculate Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy?

Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy calculator uses Mean Velocity = sqrt([g]*Diameter of Section) to calculate the Mean Velocity, The Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy is defined as average velocity at any point in flow. Mean Velocity is denoted by Vmean symbol.

How to calculate Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy using this online calculator? To use this online calculator for Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy, enter Diameter of Section (dsection) and hit the calculate button. Here is how the Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy calculation can be explained with given input values -> 7.002375 = sqrt([g]*5).

FAQ

What is Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy?
The Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy is defined as average velocity at any point in flow and is represented as Vmean = sqrt([g]*dsection) or Mean Velocity = sqrt([g]*Diameter of Section). Diameter of Section is the diameter of the circular cross-section of the beam.
How to calculate Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy?
The Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy is defined as average velocity at any point in flow is calculated using Mean Velocity = sqrt([g]*Diameter of Section). To calculate Mean Velocity of Flow through Section Considering Condition of Minimum Specific Energy, you need Diameter of Section (dsection). With our tool, you need to enter the respective value for Diameter of Section 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 Diameter of Section. 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((Total Energy-(Depth of Flow))*2*[g])
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