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Critical Velocity given Total Energy at Critical Point Calculator

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✖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.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Energy at Critical Point is the total energy (both potential and kinetic energy) at the point of jump formation.ⓘ Energy at Critical Point [E_c]			+10% -10%
✖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.ⓘ Critical Depth [d_c]			+10% -10%
✖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.ⓘ Head Loss [h_f]			+10% -10%

✖The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.ⓘ Critical Velocity given Total Energy at Critical Point [V_c]

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Formula

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Critical Velocity given Total Energy at Critical Point

Formula

V c = \sqrt{2 \cdot g \cdot (E c - (d c + h f))}

Example

5.047772 m/s = \sqrt{2 \cdot 9.8 m/s² \cdot (4.05 m - (2.62 m + 0.130 m))}

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Critical Velocity given Total Energy at Critical Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))
V_c = sqrt(2*g*(E_c-(d_c+h_f)))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Energy at Critical Point - (Measured in Meter) - Energy at Critical Point is the total energy (both potential and kinetic energy) at the point of jump formation.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Energy at Critical Point: 4.05 Meter --> 4.05 Meter No Conversion Required
Critical Depth: 2.62 Meter --> 2.62 Meter No Conversion Required
Head Loss: 0.13 Meter --> 0.13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = sqrt(2*g*(E_c-(d_c+h_f))) --> sqrt(2*9.8*(4.05-(2.62+0.13)))

Evaluating ... ...

V_c = 5.04777178564958

STEP 3: Convert Result to Output's Unit

5.04777178564958 Meter per Second --> No Conversion Required

FINAL ANSWER

5.04777178564958 ≈ 5.047772 Meter per Second <-- Critical Velocity

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< 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 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 Total Energy at Critical Point Formula

Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss)))
V_c = sqrt(2*g*(E_c-(d_c+h_f)))

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 Total Energy at Critical Point?

Critical Velocity given Total Energy at Critical Point calculator uses Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss))) to calculate the Critical Velocity, The Critical Velocity given Total Energy at Critical Point formula is defined as the velocity at which flow transitions from being subcritical to supercritical, considering the total energy at critical point. Critical Velocity is denoted by V_c symbol.

How to calculate Critical Velocity given Total Energy at Critical Point using this online calculator? To use this online calculator for Critical Velocity given Total Energy at Critical Point, enter Acceleration due to Gravity (g), Energy at Critical Point (E_c), Critical Depth (d_c) & Head Loss (h_f) and hit the calculate button. Here is how the Critical Velocity given Total Energy at Critical Point calculation can be explained with given input values -> 16.47604 = sqrt(2*9.8*(4.05-(2.62+0.13))).

FAQ

What is Critical Velocity given Total Energy at Critical Point?

The Critical Velocity given Total Energy at Critical Point formula is defined as the velocity at which flow transitions from being subcritical to supercritical, considering the total energy at critical point and is represented as V_c = sqrt(2*g*(E_c-(d_c+h_f))) or Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss))). 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, Energy at Critical Point is the total energy (both potential and kinetic energy) at the point of jump formation, 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 & 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.

How to calculate Critical Velocity given Total Energy at Critical Point?

The Critical Velocity given Total Energy at Critical Point formula is defined as the velocity at which flow transitions from being subcritical to supercritical, considering the total energy at critical point is calculated using Critical Velocity = sqrt(2*Acceleration due to Gravity*(Energy at Critical Point-(Critical Depth+Head Loss))). To calculate Critical Velocity given Total Energy at Critical Point, you need Acceleration due to Gravity (g), Energy at Critical Point (E_c), Critical Depth (d_c) & Head Loss (h_f). With our tool, you need to enter the respective value for Acceleration due to Gravity, Energy at Critical Point, Critical Depth & Head Loss 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 Acceleration due to Gravity, Energy at Critical Point, Critical Depth & Head Loss. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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