Critical Velocity given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Velocity = (Environmental Discharge/Flow area of throat)
Vc = (Qe/Farea)
This formula uses 3 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.
Flow area of throat - (Measured in Square Meter) - Flow area of throat is the area of throat through which flow is occuring.
STEP 1: Convert Input(s) to Base Unit
Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Flow area of throat: 10 Square Meter --> 10 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vc = (Qe/Farea) --> (40/10)
Evaluating ... ...
Vc = 4
STEP 3: Convert Result to Output's Unit
4 Meter per Second --> No Conversion Required
FINAL ANSWER
4 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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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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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 Formula

Critical Velocity = (Environmental Discharge/Flow area of throat)
Vc = (Qe/Farea)

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?

Critical Velocity given Discharge calculator uses Critical Velocity = (Environmental Discharge/Flow area of throat) to calculate the Critical Velocity, Critical Velocity given Discharge is defined as speed at which falling object reaches when both gravity and air resistance are equalised on object. Critical Velocity is denoted by Vc symbol.

How to calculate Critical Velocity given Discharge using this online calculator? To use this online calculator for Critical Velocity given Discharge, enter Environmental Discharge (Qe) & Flow area of throat (Farea) and hit the calculate button. Here is how the Critical Velocity given Discharge calculation can be explained with given input values -> 4 = (40/10).

FAQ

What is Critical Velocity given Discharge?
Critical Velocity given Discharge is defined as speed at which falling object reaches when both gravity and air resistance are equalised on object and is represented as Vc = (Qe/Farea) or Critical Velocity = (Environmental Discharge/Flow area of throat). Environmental Discharge is the rate of flow of a liquid & Flow area of throat is the area of throat through which flow is occuring.
How to calculate Critical Velocity given Discharge?
Critical Velocity given Discharge is defined as speed at which falling object reaches when both gravity and air resistance are equalised on object is calculated using Critical Velocity = (Environmental Discharge/Flow area of throat). To calculate Critical Velocity given Discharge, you need Environmental Discharge (Qe) & Flow area of throat (Farea). With our tool, you need to enter the respective value for Environmental Discharge & Flow area of throat 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 & Flow area of throat. 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/(Width of throat*Critical Depth))
  • Critical Velocity = (Peak Discharge/(Width of throat*Critical Depth))
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