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Critical Velocity given Discharge Calculator

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✖Environmental Discharge is the rate of flow of a liquid.ⓘ Environmental Discharge [Q_e]			+10% -10%
✖Flow Area of Throat is the area of throat through which flow is occurring.ⓘ Flow Area of Throat [F_area]			+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 [V_c]

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Critical Velocity given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Velocity = (Environmental Discharge/Flow Area of Throat)
V_c = (Q_e/F_area)
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.
Environmental Discharge - (Measured in Cubic Meter per Second) - Environmental Discharge is the rate of flow of a liquid.
Flow Area of Throat - (Measured in Square Meter) - Flow Area of Throat is the area of throat through which flow is occurring.

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
Flow Area of Throat: 7.86 Square Meter --> 7.86 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = (Q_e/F_area) --> (39.82/7.86)

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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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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National Institute of Technology (NIT), Warangal

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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 Discharge Formula

LaTeX Go

Critical Velocity = (Environmental Discharge/Flow Area of Throat)
V_c = (Q_e/F_area)

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?

Critical Velocity given Discharge calculator uses Critical Velocity = (Environmental Discharge/Flow Area of Throat) to calculate the Critical Velocity, The Critical Velocity given Discharge formula is defined as the measure of the value 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 an information about the discharge value. Critical Velocity is denoted by V_c symbol.

How to calculate Critical Velocity given Discharge using this online calculator? To use this online calculator for Critical Velocity given Discharge, enter Environmental Discharge (Q_e) & Flow Area of Throat (F_area) and hit the calculate button. Here is how the Critical Velocity given Discharge calculation can be explained with given input values -> 15.31538 = (39.82/7.86).

FAQ

What is Critical Velocity given Discharge?

The Critical Velocity given Discharge formula is defined as the measure of the value 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 an information about the discharge value and is represented as V_c = (Q_e/F_area) or Critical Velocity = (Environmental Discharge/Flow Area of Throat). Environmental Discharge is the rate of flow of a liquid & Flow Area of Throat is the area of throat through which flow is occurring.

How to calculate Critical Velocity given Discharge?

The Critical Velocity given Discharge formula is defined as the measure of the value 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 an information about the discharge value is calculated using Critical Velocity = (Environmental Discharge/Flow Area of Throat). To calculate Critical Velocity given Discharge, you need Environmental Discharge (Q_e) & Flow Area of Throat (F_area). With our tool, you need to enter the respective value for Environmental Discharge & Flow Area of Throat 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 & Flow Area of Throat. 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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