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 a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.
STEP 1: Convert Input(s) to Base Unit
Head Loss: 0.13 Meter --> 0.13 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) --> ((0.13*2*9.8)/0.1)^(1/2)
Evaluating ... ...
Vc = 5.04777178564959
STEP 3: Convert Result to Output's Unit
5.04777178564959 Meter per Second --> No Conversion Required
FINAL ANSWER
5.04777178564959 5.047772 Meter per Second <-- Critical Velocity
(Calculation completed in 00.004 seconds)

Credits

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

Critical Velocity given Total Energy at Critical Point
​ LaTeX ​ Go Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))
Critical Velocity given Critical Depth in Control Section
​ LaTeX ​ Go Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)
Critical Velocity given Depth of Section
​ LaTeX ​ Go Critical Velocity = sqrt((Depth*Acceleration due to Gravity)/1.55)
Critical Velocity given Head Loss
​ LaTeX ​ Go Critical Velocity = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)

Critical Velocity given Head Loss Formula

​LaTeX ​Go
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?

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. It's a point where the flow is neither too fast nor too slow, and it determines the efficiency and behavior of the channel.

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, The Critical Velocity given Head Loss formula is defined as the measure of 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 that we have the prior information of the head loss. 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 -> 14.94791 = ((0.13*2*9.8)/0.1)^(1/2).

FAQ

What is Critical Velocity given Head Loss?
The Critical Velocity given Head Loss formula is defined as the measure of 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 that we have the prior information of the head loss 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 a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.
How to calculate Critical Velocity given Head Loss?
The Critical Velocity given Head Loss formula is defined as the measure of 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 that we have the prior information of the head loss 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 3 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)
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