Diameter of Section through Section Considering Condition of Minimum Specific Energy Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Section = (Mean Velocity^2)/[g]
dsection = (Vmean^2)/[g]
This formula uses 1 Constants, 2 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
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
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dsection = (Vmean^2)/[g] --> (10.1^2)/[g]
Evaluating ... ...
dsection = 10.4021250885878
STEP 3: Convert Result to Output's Unit
10.4021250885878 Meter --> No Conversion Required
FINAL ANSWER
10.4021250885878 โ‰ˆ 10.40213 Meter <-- Diameter of Section
(Calculation completed in 00.004 seconds)

Credits

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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]

Diameter of Section through Section Considering Condition of Minimum Specific Energy Formula

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

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 Diameter of Section through Section Considering Condition of Minimum Specific Energy?

Diameter of Section through Section Considering Condition of Minimum Specific Energy calculator uses Diameter of Section = (Mean Velocity^2)/[g] to calculate the Diameter of Section, The Diameter of Section through Section Considering Condition of Minimum Specific Energy is defined as width of channel section at any point. Diameter of Section is denoted by dsection symbol.

How to calculate Diameter of Section through Section Considering Condition of Minimum Specific Energy using this online calculator? To use this online calculator for Diameter of Section through Section Considering Condition of Minimum Specific Energy, enter Mean Velocity (Vmean) and hit the calculate button. Here is how the Diameter of Section through Section Considering Condition of Minimum Specific Energy calculation can be explained with given input values -> 10.40213 = (10.1^2)/[g].

FAQ

What is Diameter of Section through Section Considering Condition of Minimum Specific Energy?
The Diameter of Section through Section Considering Condition of Minimum Specific Energy is defined as width of channel section at any point and is represented as dsection = (Vmean^2)/[g] or Diameter of Section = (Mean Velocity^2)/[g]. Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
How to calculate Diameter of Section through Section Considering Condition of Minimum Specific Energy?
The Diameter of Section through Section Considering Condition of Minimum Specific Energy is defined as width of channel section at any point is calculated using Diameter of Section = (Mean Velocity^2)/[g]. To calculate Diameter of Section through Section Considering Condition of Minimum Specific Energy, you need Mean Velocity (Vmean). With our tool, you need to enter the respective value for 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 Diameter of Section?
In this formula, Diameter of Section uses Mean Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Section = ((Mean Velocity for Froude Number/Froude Number)^2)/[g]
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