Critical Depth for Rectangular Channel Calculator

✖The Critical Depth of Rectangular Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth for Rectangular Channel [h_r]

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Critical Depth for Rectangular Channel

Formula

`"h"_{"r"} = (("q"^2)/("[g]"))^(1/3)`

Example

`"2.182934m"=((("10.1m²/s")^2)/("[g]"))^(1/3)`

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Download Critical Flow and its Computation Formulas PDF

Critical Depth for Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3)
h_r = ((q^2)/([g]))^(1/3)
This formula uses 1 Constants, 2 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Critical Depth of Rectangular Channel - (Measured in Meter) - The Critical Depth of Rectangular Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.
Discharge per unit Width - (Measured in Square Meter per Second) - The Discharge per unit Width is the ratio of total discharge in the channel to the width considered.

STEP 1: Convert Input(s) to Base Unit

Discharge per unit Width: 10.1 Square Meter per Second --> 10.1 Square Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_r = ((q^2)/([g]))^(1/3) --> ((10.1^2)/([g]))^(1/3)

Evaluating ... ...

h_r = 2.18293442949442

STEP 3: Convert Result to Output's Unit

2.18293442949442 Meter --> No Conversion Required

FINAL ANSWER

2.18293442949442 ≈ 2.182934 Meter <-- Critical Depth of Rectangular Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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< 16 Critical Flow and its Computation Calculators

Discharge given Critical Depth for Parabolic Channel

Go Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629 *[g])

Discharge given Critical Depth for Triangular Channel

Go Discharge of Channel = sqrt((Critical Depth of Triangular Channnel^5)*((Bed Slope)^2)*0.5*[g])

Side Slope of Channel given Critical Depth for Parabolic Channel

Go Bed Slope = (3.375*((Discharge of Channel)^2)/((Critical Depth of Parabolic Channel^4)*[g]))^(1/2)

Side Slope of Channel given Critical Depth for Triangular Channel

Go Bed Slope = (2*((Discharge of Channel)^2)/((Critical Depth of Triangular Channnel^5)*[g]))^(1/2)

Critical Depth for Parabolic Channel

Go Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4)

Critical Depth for Triangular Channel

Go Critical Depth of Triangular Channnel = (2*((Discharge of Channel/Bed Slope)^2)/[g])^(1/5)

Critical Depth for Rectangular Channel

Go Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3)

Discharge per unit Width given Critical Depth for Rectangular Channel

Go Discharge per unit Width = ((Critical Depth of Rectangular Channel^3)*[g])^(1/2)

Discharge given Critical Section Factor

Go Discharge of Channel = Section Factor*sqrt([g])

Critical Section Factor

Go Section Factor = Discharge of Channel/sqrt([g])

Critical Depth given Critical Energy for Rectangular Channel

Go Critical Depth of Rectangular Channel = Critical Energy of Rectangular Channel/1.5

Critical Depth given Critical Energy for Triangular Channel

Go Critical Depth of Triangular Channnel = Critical Energy of Triangular Channel/1.25

Critical Energy for Rectangular Channel

Go Critical Energy of Rectangular Channel = 1.5*Critical Depth of Rectangular Channel

Critical Energy for Triangular Channel

Go Critical Energy of Triangular Channel = Critical Depth of Triangular Channnel*1.25

Critical Depth of Flow given Critical Energy for Parabolic Channel

Go Critical Depth of Parabolic Channel = Critical energy of Parabolic Channel/(4/3)

Critical Energy for Parabolic Channel

Go Critical energy of Parabolic Channel = (4/3)*Critical Depth of Parabolic Channel

Critical Depth for Rectangular Channel Formula

Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3)
h_r = ((q^2)/([g]))^(1/3)

What is Critical Depth?

The concept of critical depth is conventionally defined in open-channel hydraulics (Chow 1959; Montes 1998; Chanson 2004) as the depth at which the specific energy reaches a minimum value, considering the mean specific energy Hm within the whole flow section in flows with parallel streamlines.

How to Calculate Critical Depth for Rectangular Channel?

Critical Depth for Rectangular Channel calculator uses Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3) to calculate the Critical Depth of Rectangular Channel, The Critical Depth for Rectangular Channel is defined as the minimum flow depth at which specific flow conditions occur, influencing flow velocity and discharge in hydraulic systems. Critical Depth of Rectangular Channel is denoted by h_r symbol.

How to calculate Critical Depth for Rectangular Channel using this online calculator? To use this online calculator for Critical Depth for Rectangular Channel, enter Discharge per unit Width (q) and hit the calculate button. Here is how the Critical Depth for Rectangular Channel calculation can be explained with given input values -> 2.182934 = ((10.1^2)/([g]))^(1/3).

FAQ

What is Critical Depth for Rectangular Channel?

The Critical Depth for Rectangular Channel is defined as the minimum flow depth at which specific flow conditions occur, influencing flow velocity and discharge in hydraulic systems and is represented as h_r = ((q^2)/([g]))^(1/3) or Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3). The Discharge per unit Width is the ratio of total discharge in the channel to the width considered.

How to calculate Critical Depth for Rectangular Channel?

The Critical Depth for Rectangular Channel is defined as the minimum flow depth at which specific flow conditions occur, influencing flow velocity and discharge in hydraulic systems is calculated using Critical Depth of Rectangular Channel = ((Discharge per unit Width^2)/([g]))^(1/3). To calculate Critical Depth for Rectangular Channel, you need Discharge per unit Width (q). With our tool, you need to enter the respective value for Discharge per unit Width 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 of Rectangular Channel?

In this formula, Critical Depth of Rectangular Channel uses Discharge per unit Width. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Depth of Rectangular Channel = Critical Energy of Rectangular Channel/1.5

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