Critical Depth in Control Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)
CD = ((Vc)^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 acceleration gained by an object because of gravitational force.
STEP 1: Convert Input(s) to Base Unit
Critical Velocity: 15 Meter per Second --> 15 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
CD = ((Vc)^2/g) --> ((15)^2/9.8)
Evaluating ... ...
CD = 22.9591836734694
STEP 3: Convert Result to Output's Unit
22.9591836734694 Meter --> No Conversion Required
FINAL ANSWER
22.9591836734694 22.95918 Meter <-- Critical Depth
(Calculation completed in 00.004 seconds)

Credits

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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5 Critical Depth Calculators

Critical Depth at Different Discharges
Go Critical Depth = ((Environmental Discharge)^2/(Acceleration due to Gravity*(Width of throat)^2))^(1/3)
Critical Depth given Discharge through Control Section
Go Critical Depth = (Environmental Discharge/(Width of throat*Critical Velocity))
Critical Depth given Maximum Discharge
Go Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity))
Critical Depth in Control Section
Go Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)
Critical Depth given Depth of Parabolic Channel
Go Critical Depth = (Depth/1.55)

Critical Depth in Control Section Formula

Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)
CD = ((Vc)^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 is defined as depth of flow where energy is at a minimum for a particular discharge. Critical Depth is denoted by CD 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 (Vc) & 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 = ((15)^2/9.8).

FAQ

What is Critical Depth in Control Section?
The Critical Depth in Control Section is defined as depth of flow where energy is at a minimum for a particular discharge and is represented as CD = ((Vc)^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 acceleration gained by an object because of gravitational force.
How to calculate Critical Depth in Control Section?
The Critical Depth in Control Section is defined as depth of flow where energy is at a minimum for a particular discharge is calculated using Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity). To calculate Critical Depth in Control Section, you need Critical Velocity (Vc) & 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 4 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)
  • Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity))
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