Critical Velocity given Head Loss Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Vc = ((hf*2*g)/0.1)^(1/2)
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.
Head Loss - (Measured in Meter) - Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
STEP 1: Convert Input(s) to Base Unit
Head Loss: 1.2 Meter --> 1.2 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vc = ((hf*2*g)/0.1)^(1/2) --> ((1.2*2*9.8)/0.1)^(1/2)
Evaluating ... ...
Vc = 15.3362316101447
STEP 3: Convert Result to Output's Unit
15.3362316101447 Meter per Second --> No Conversion Required
FINAL ANSWER
15.3362316101447 15.33623 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 Head Loss Formula

Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Vc = ((hf*2*g)/0.1)^(1/2)

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 Head Loss?

Critical Velocity given Head Loss calculator uses Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2) to calculate the Critical Velocity, Critical Velocity given Head Loss 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 Head Loss using this online calculator? To use this online calculator for Critical Velocity given Head Loss, enter Head Loss (hf) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Critical Velocity given Head Loss calculation can be explained with given input values -> 15.33623 = ((1.2*2*9.8)/0.1)^(1/2).

FAQ

What is Critical Velocity given Head Loss?
Critical Velocity given Head Loss is defined as speed at which falling object reaches when both gravity and air resistance are equalised on object and is represented as Vc = ((hf*2*g)/0.1)^(1/2) or Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2). Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system & Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
How to calculate Critical Velocity given Head Loss?
Critical Velocity given Head Loss is defined as speed at which falling object reaches when both gravity and air resistance are equalised on object is calculated using Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2). To calculate Critical Velocity given Head Loss, you need Head Loss (hf) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Head Loss & Acceleration due to Gravity 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 Head Loss & Acceleration due to Gravity. 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 = 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 = (Environmental Discharge/Flow area of throat)
  • Critical Velocity = (Peak Discharge/(Width of throat*Critical Depth))
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