Critical Velocity given Discharge through Control Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth))
Vc = (Qe/(Wt*CD))
This formula uses 4 Variables
Variables Used
Critical Velocity - (Measured in Meter per Second) - The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.
Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Width of throat - (Measured in Meter) - Width of throat of the parshall flume is denoted by W symbol.
Critical Depth - (Measured in Meter) - Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.
STEP 1: Convert Input(s) to Base Unit
Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Width of throat: 3 Meter --> 3 Meter No Conversion Required
Critical Depth: 4 Meter --> 4 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vc = (Qe/(Wt*CD)) --> (40/(3*4))
Evaluating ... ...
Vc = 3.33333333333333
STEP 3: Convert Result to Output's Unit
3.33333333333333 Meter per Second --> No Conversion Required
FINAL ANSWER
3.33333333333333 3.333333 Meter per Second <-- Critical Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Meerut Institute of Engineering and Technology (MIET), Meerut
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7 Critical Velocity Calculators

Critical Velocity given Total Energy at Critical Point
Go Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss)))
Critical Velocity given Discharge through Control Section
Go Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth))
Critical Velocity given Maximum Discharge
Go Critical Velocity = (Peak Discharge/(Width of throat*Critical Depth))
Critical Velocity given Critical Depth in Control Section
Go Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
Critical Velocity given Depth of Section
Go Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
Critical Velocity given Head Loss
Go Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Critical Velocity given Discharge
Go Critical Velocity = (Environmental Discharge/Flow area of throat)

Critical Velocity given Discharge through Control Section Formula

Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth))
Vc = (Qe/(Wt*CD))

What is critical velocity ?

Critical velocity is defined as the speed at which a falling object reaches when both gravity and air resistance are equalised on the object. The other way of defining critical velocity is the speed and direction at which the fluid can flow through a conduit without becoming turbulent.

How to Calculate Critical Velocity given Discharge through Control Section?

Critical Velocity given Discharge through Control Section calculator uses Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth)) to calculate the Critical Velocity, The Critical Velocity given Discharge through Control Section is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object. Critical Velocity is denoted by Vc symbol.

How to calculate Critical Velocity given Discharge through Control Section using this online calculator? To use this online calculator for Critical Velocity given Discharge through Control Section, enter Environmental Discharge (Qe), Width of throat (Wt) & Critical Depth (CD) and hit the calculate button. Here is how the Critical Velocity given Discharge through Control Section calculation can be explained with given input values -> 3.333333 = (40/(3*4)).

FAQ

What is Critical Velocity given Discharge through Control Section?
The Critical Velocity given Discharge through Control Section is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object and is represented as Vc = (Qe/(Wt*CD)) or Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth)). Environmental Discharge is the rate of flow of a liquid, Width of throat of the parshall flume is denoted by W symbol & Critical depth occurs when the flow in a channel has a minimum specific energy. Specific energy refers to the sum of the depth of flow and the velocity head.
How to calculate Critical Velocity given Discharge through Control Section?
The Critical Velocity given Discharge through Control Section is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object is calculated using Critical Velocity = (Environmental Discharge/(Width of throat*Critical Depth)). To calculate Critical Velocity given Discharge through Control Section, you need Environmental Discharge (Qe), Width of throat (Wt) & Critical Depth (CD). With our tool, you need to enter the respective value for Environmental Discharge, Width of throat & Critical Depth 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 Critical Velocity?
In this formula, Critical Velocity uses Environmental Discharge, Width of throat & Critical Depth. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at critical point-(Critical Depth+Head Loss)))
  • Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
  • Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
  • Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
  • Critical Velocity = (Environmental Discharge/Flow area of throat)
  • Critical Velocity = (Peak Discharge/(Width of throat*Critical Depth))
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