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The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent. Check FAQs
Vc=(QpWtdc)
Vc - Critical Velocity?Qp - Peak Discharge?Wt - Width of Throat?dc - Critical Depth?

Critical Velocity given Maximum Discharge Example

With values
With units
Only example

Here is how the Critical Velocity given Maximum Discharge equation looks like with Values.

Here is how the Critical Velocity given Maximum Discharge equation looks like with Units.

Here is how the Critical Velocity given Maximum Discharge equation looks like.

5.0598Edit=(39.77Edit3Edit2.62Edit)
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Critical Velocity given Maximum Discharge Solution

Follow our step by step solution on how to calculate Critical Velocity given Maximum Discharge?

FIRST Step Consider the formula
Vc=(QpWtdc)
Next Step Substitute values of Variables
Vc=(39.77m³/s3m2.62m)
Next Step Prepare to Evaluate
Vc=(39.7732.62)
Next Step Evaluate
Vc=5.05979643765903m/s
LAST Step Rounding Answer
Vc=5.0598m/s

Critical Velocity given Maximum Discharge Formula Elements

Variables
Critical Velocity
The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.
Symbol: Vc
Measurement: SpeedUnit: m/s
Note: Value can be positive or negative.
Peak Discharge
Peak Discharge is the maximum volume flow rate passing a particular location during an event.
Symbol: Qp
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value should be greater than 0.
Width of Throat
Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume.
Symbol: Wt
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Critical Depth
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.
Symbol: dc
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Critical Velocity

​Go Critical Velocity given Total Energy at Critical Point
Vc=2g(Ec-(dc+hf))
​Go Critical Velocity given Head Loss
Vc=(hf2g0.1)12
​Go Critical Velocity given Critical Depth in Control Section
Vc=dcg
​Go Critical Velocity given Depth of Section
Vc=dg1.55

How to Evaluate Critical Velocity given Maximum Discharge?

Critical Velocity given Maximum Discharge evaluator uses Critical Velocity = (Peak Discharge/(Width of Throat*Critical Depth)) to evaluate the Critical Velocity, The Critical Velocity given Maximum Discharge formula is defined as the velocity at which flow transitions from being subcritical to supercritical. In open channel flow, critical velocity occurs when the flow's kinetic energy is equal to the potential energy, considering the maximum discharge flow. Critical Velocity is denoted by Vc symbol.

How to evaluate Critical Velocity given Maximum Discharge using this online evaluator? To use this online evaluator for Critical Velocity given Maximum Discharge, enter Peak Discharge (Qp), Width of Throat (Wt) & Critical Depth (dc) and hit the calculate button.

FAQs on Critical Velocity given Maximum Discharge

What is the formula to find Critical Velocity given Maximum Discharge?
The formula of Critical Velocity given Maximum Discharge is expressed as Critical Velocity = (Peak Discharge/(Width of Throat*Critical Depth)). Here is an example- 0.508906 = (39.77/(3*2.62)).
How to calculate Critical Velocity given Maximum Discharge?
With Peak Discharge (Qp), Width of Throat (Wt) & Critical Depth (dc) we can find Critical Velocity given Maximum Discharge using the formula - Critical Velocity = (Peak Discharge/(Width of Throat*Critical Depth)).
What are the other ways to Calculate Critical Velocity?
Here are the different ways to Calculate Critical Velocity-
  • Critical Velocity=sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))OpenImg
  • Critical Velocity=((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)OpenImg
  • Critical Velocity=sqrt(Critical Depth*Acceleration due to Gravity)OpenImg
Can the Critical Velocity given Maximum Discharge be negative?
Yes, the Critical Velocity given Maximum Discharge, measured in Speed can be negative.
Which unit is used to measure Critical Velocity given Maximum Discharge?
Critical Velocity given Maximum Discharge is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Critical Velocity given Maximum Discharge can be measured.
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