HCF of three numbers

Critical Depth in Control Section Calculator

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

✖The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.ⓘ Critical Velocity [V_c]			+10% -10%
✖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%

✖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 in Control Section [d_c]

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Critical Depth in Control Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)
d_c = ((V_c)^2/g)
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Velocity: 5.06 Meter per Second --> 5.06 Meter per Second 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

d_c = ((V_c)^2/g) --> ((5.06)^2/9.8)

Evaluating ... ...

d_c = 2.61261224489796

STEP 3: Convert Result to Output's Unit

2.61261224489796 Meter --> No Conversion Required

FINAL ANSWER

2.61261224489796 ≈ 2.612612 Meter <-- Critical Depth

(Calculation completed in 00.006 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Critical Depth Calculators

Critical Depth at Different Discharges

LaTeX Go Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3)

Critical Depth given Discharge through Control Section

LaTeX Go Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity))

Critical Depth in Control Section

LaTeX Go Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)

Critical Depth given Depth of Parabolic Channel

LaTeX Go Critical Depth = (Depth/1.55)

Critical Depth in Control Section Formula

LaTeX Go

Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)
d_c = ((V_c)^2/g)

What is Critical Depth?

Critical depth is also the depth of maximum discharge, when the specific energy is held constant.Critical depth is defined as the depth of flow where energy is at a minimum for a particular discharge.

How to Calculate Critical Depth in Control Section?

Critical Depth in Control Section calculator uses Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity) to calculate the Critical Depth, The Critical Depth in Control Section formula is defined as the measure of the depth of flow where energy is at a minimum for a particular discharge at control section. Critical Depth is denoted by d_c symbol.

How to calculate Critical Depth in Control Section using this online calculator? To use this online calculator for Critical Depth in Control Section, enter Critical Velocity (V_c) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Critical Depth in Control Section calculation can be explained with given input values -> 22.95918 = ((5.06)^2/9.8).

FAQ

What is Critical Depth in Control Section?

The Critical Depth in Control Section formula is defined as the measure of the depth of flow where energy is at a minimum for a particular discharge at control section and is represented as d_c = ((V_c)^2/g) or Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity). The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent & 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 Depth in Control Section?

The Critical Depth in Control Section formula is defined as the measure of the depth of flow where energy is at a minimum for a particular discharge at control section is calculated using Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity). To calculate Critical Depth in Control Section, you need Critical Velocity (V_c) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Critical Velocity & 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 Depth?

In this formula, Critical Depth uses Critical Velocity & Acceleration due to Gravity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Depth = (Environmental Discharge/(Width of Throat*Critical Velocity))
Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of Throat)^2))^(1/3)
Critical Depth = (Depth/1.55)

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