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Critical Velocity given Discharge through Control Section Calculator

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Critical Velocity Critical Depth Depth of Channel Discharge in Channel More >>

✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume.ⓘ Width of Throat [W_t]			+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%

✖The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.ⓘ Critical Velocity given Discharge through Control Section [V_c]

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Formula

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Critical Velocity given Discharge through Control Section

Formula

V c = (\frac{Q e}{W t \cdot d c})

Example

5.066158 m/s = (\frac{39.82 m³/s}{3 m \cdot 2.62 m})

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Critical Velocity given Discharge through Control Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Velocity = (Environmental Discharge/(Width of Throat*Critical Depth))
V_c = (Q_e/(W_t*d_c))
This formula uses 4 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.
Width of Throat - (Measured in Meter) - Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume.
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.

STEP 1: Convert Input(s) to Base Unit

Environmental Discharge: 39.82 Cubic Meter per Second --> 39.82 Cubic Meter per Second No Conversion Required
Width of Throat: 3 Meter --> 3 Meter No Conversion Required
Critical Depth: 2.62 Meter --> 2.62 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = (Q_e/(W_t*d_c)) --> (39.82/(3*2.62))

Evaluating ... ...

V_c = 5.06615776081425

STEP 3: Convert Result to Output's Unit

5.06615776081425 Meter per Second --> No Conversion Required

FINAL ANSWER

5.06615776081425 ≈ 5.066158 Meter per Second <-- Critical Velocity

(Calculation completed in 00.004 seconds)

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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 Discharge through Control Section Formula

Critical Velocity = (Environmental Discharge/(Width of Throat*Critical Depth))
V_c = (Q_e/(W_t*d_c))

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 Discharge through Control Section?

Critical Velocity given Discharge through Control Section calculator uses Critical Velocity = (Environmental Discharge/(Width of Throat*Critical Depth)) to calculate the Critical Velocity, The Critical Velocity given Discharge through Control Section is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object, when we have a prior information of the value of discharge through the control section. Critical Velocity is denoted by V_c symbol.

How to calculate Critical Velocity given Discharge through Control Section using this online calculator? To use this online calculator for Critical Velocity given Discharge through Control Section, enter Environmental Discharge (Q_e), Width of Throat (W_t) & Critical Depth (d_c) and hit the calculate button. Here is how the Critical Velocity given Discharge through Control Section calculation can be explained with given input values -> 5.089059 = (39.82/(3*2.62)).

FAQ

What is Critical Velocity given Discharge through Control Section?

The Critical Velocity given Discharge through Control Section is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object, when we have a prior information of the value of discharge through the control section and is represented as V_c = (Q_e/(W_t*d_c)) or Critical Velocity = (Environmental Discharge/(Width of Throat*Critical Depth)). Environmental Discharge is the rate of flow of a liquid, Width of Throat is the narrowest section of a conduit or channel, such as in a venturi meter or flume & 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.

How to calculate Critical Velocity given Discharge through Control Section?

The Critical Velocity given Discharge through Control Section is defined as the speed at which a falling object reaches when both gravity and air resistance are equalized on the object, when we have a prior information of the value of discharge through the control section is calculated using Critical Velocity = (Environmental Discharge/(Width of Throat*Critical Depth)). To calculate Critical Velocity given Discharge through Control Section, you need Environmental Discharge (Q_e), Width of Throat (W_t) & Critical Depth (d_c). With our tool, you need to enter the respective value for Environmental Discharge, Width of Throat & Critical Depth 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, Width of Throat & Critical Depth. 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 = ((Head Loss*2*Acceleration due to Gravity)/0.1)^(1/2)
Critical Velocity = sqrt(Critical Depth*Acceleration due to Gravity)

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