Critical Depth given Maximum Discharge Calculator

✖Peak Discharge is the maximum volume flow rate passing a particular location during an event.ⓘ Peak Discharge [Q_p]			+10% -10%
✖Width of throat of the parshall flume is denoted by W symbol.ⓘ Width of throat [W_t]			+10% -10%
✖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%

✖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 given Maximum Discharge [CD]

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Critical Depth given Maximum Discharge

Formula

`"CD" = ("Q"_{"p"}/("W"_{"t"}*"V"_{"c"}))`

Example

`"0.088889m"=("4m³/s"/("3m"*"15m/s"))`

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Critical Depth given Maximum Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity))
CD = (Q_p/(W_t*V_c))
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.
Peak Discharge - (Measured in Cubic Meter per Second) - Peak Discharge is the maximum volume flow rate passing a particular location during an event.
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

Peak Discharge: 4 Cubic Meter per Second --> 4 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 = (Q_p/(W_t*V_c)) --> (4/(3*15))

Evaluating ... ...

CD = 0.0888888888888889

STEP 3: Convert Result to Output's Unit

0.0888888888888889 Meter --> No Conversion Required

FINAL ANSWER

0.0888888888888889 ≈ 0.088889 Meter <-- Critical Depth

(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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< 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 Maximum Discharge Formula

Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity))
CD = (Q_p/(W_t*V_c))

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 given Maximum Discharge?

Critical Depth given Maximum Discharge calculator uses Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity)) to calculate the Critical Depth, The Critical Depth given Maximum Discharge is defined as the 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 given Maximum Discharge using this online calculator? To use this online calculator for Critical Depth given Maximum Discharge, enter Peak Discharge (Q_p), Width of throat (W_t) & Critical Velocity (V_c) and hit the calculate button. Here is how the Critical Depth given Maximum Discharge calculation can be explained with given input values -> 0.088889 = (4/(3*15)).

FAQ

What is Critical Depth given Maximum Discharge?

The Critical Depth given Maximum Discharge is defined as the depth of flow where energy is at a minimum for a particular discharge and is represented as CD = (Q_p/(W_t*V_c)) or Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity)). Peak Discharge is the maximum volume flow rate passing a particular location during an event, 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 Maximum Discharge?

The Critical Depth given Maximum Discharge is defined as the depth of flow where energy is at a minimum for a particular discharge is calculated using Critical Depth = (Peak Discharge/(Width of throat*Critical Velocity)). To calculate Critical Depth given Maximum Discharge, you need Peak Discharge (Q_p), Width of throat (W_t) & Critical Velocity (V_c). With our tool, you need to enter the respective value for Peak 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 Peak 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/(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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