Critical Depth given Discharge through Control Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Critical Depth = (Environmental Discharge/(Width of throat*Critical Velocity))
CD = (Qe/(Wt*Vc))
This formula uses 4 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.
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 of the parshall flume is denoted by W symbol.
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.
STEP 1: Convert Input(s) to Base Unit
Environmental Discharge: 40 Cubic Meter per Second --> 40 Cubic Meter per Second No Conversion Required
Width of throat: 3 Meter --> 3 Meter No Conversion Required
Critical Velocity: 15 Meter per Second --> 15 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
CD = (Qe/(Wt*Vc)) --> (40/(3*15))
Evaluating ... ...
CD = 0.888888888888889
STEP 3: Convert Result to Output's Unit
0.888888888888889 Meter --> No Conversion Required
FINAL ANSWER
0.888888888888889 0.888889 Meter <-- Critical Depth
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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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 given Discharge through Control Section Formula

Critical Depth = (Environmental Discharge/(Width of throat*Critical Velocity))
CD = (Qe/(Wt*Vc))

What is critical depth ?

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

How to Calculate Critical Depth given Discharge through Control Section?

Critical Depth given Discharge through Control Section calculator uses Critical Depth = (Environmental Discharge/(Width of throat*Critical Velocity)) to calculate the Critical Depth, The Critical Depth given Discharge through Control Section is the depth of maximum discharge when the specific energy is held constant. Critical Depth is denoted by CD symbol.

How to calculate Critical Depth given Discharge through Control Section using this online calculator? To use this online calculator for Critical Depth given Discharge through Control Section, enter Environmental Discharge (Qe), Width of throat (Wt) & Critical Velocity (Vc) and hit the calculate button. Here is how the Critical Depth given Discharge through Control Section calculation can be explained with given input values -> 0.888889 = (40/(3*15)).

FAQ

What is Critical Depth given Discharge through Control Section?
The Critical Depth given Discharge through Control Section is the depth of maximum discharge when the specific energy is held constant and is represented as CD = (Qe/(Wt*Vc)) or Critical Depth = (Environmental Discharge/(Width of throat*Critical Velocity)). Environmental Discharge is the rate of flow of a liquid, Width of throat of the parshall flume is denoted by W symbol & The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.
How to calculate Critical Depth given Discharge through Control Section?
The Critical Depth given Discharge through Control Section is the depth of maximum discharge when the specific energy is held constant is calculated using Critical Depth = (Environmental Discharge/(Width of throat*Critical Velocity)). To calculate Critical Depth given Discharge through Control Section, you need Environmental Discharge (Qe), Width of throat (Wt) & Critical Velocity (Vc). With our tool, you need to enter the respective value for Environmental Discharge, Width of throat & Critical Velocity 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 Environmental Discharge, Width of throat & Critical Velocity. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Critical Depth = ((Critical Velocity)^2/Acceleration due to Gravity)
  • 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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