Critical Depth for Parabolic Channel Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%

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

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Formula

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Critical Depth for Parabolic Channel

Formula

`"h"_{"p"} = (3.375*(("Q"/"S")^2)/"[g]")^(1/4)`

Example

`"143.2921m"=(3.375*(("14m³/s"/"0.0004")^2)/"[g]")^(1/4)`

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Critical Depth for Parabolic Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4)
h_p = (3.375*((Q/S)^2)/[g])^(1/4)
This formula uses 1 Constants, 3 Variables

Constants Used

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

Variables Used

Critical Depth of Parabolic Channel - (Measured in Meter) - The Critical Depth of Parabolic Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

STEP 1: Convert Input(s) to Base Unit

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_p = (3.375*((Q/S)^2)/[g])^(1/4) --> (3.375*((14/0.0004)^2)/[g])^(1/4)

Evaluating ... ...

h_p = 143.292116529795

STEP 3: Convert Result to Output's Unit

143.292116529795 Meter --> No Conversion Required

FINAL ANSWER

143.292116529795 ≈ 143.2921 Meter <-- Critical Depth of Parabolic 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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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 Parabolic Channel Formula

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

What is Critical Energy of Channel?

In open channel flow, specific energy ( e ) is the energy length, or head, relative to the channel bottom. It is also the fundamental relationship used in the standard step method to calculate how the depth of a flow changes over a reach from the energy gained or lost due to the slope of the channel.

How to Calculate Critical Depth for Parabolic Channel?

Critical Depth for Parabolic Channel calculator uses Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4) to calculate the Critical Depth of Parabolic Channel, The Critical Depth for Parabolic Channel is defined as the flow condition where water depth reaches its minimum for a given discharge, ensuring efficient hydraulic conveyance. Critical Depth of Parabolic Channel is denoted by h_p symbol.

How to calculate Critical Depth for Parabolic Channel using this online calculator? To use this online calculator for Critical Depth for Parabolic Channel, enter Discharge of Channel (Q) & Bed Slope (S) and hit the calculate button. Here is how the Critical Depth for Parabolic Channel calculation can be explained with given input values -> 143.2921 = (3.375*((14/0.0004)^2)/[g])^(1/4).

FAQ

What is Critical Depth for Parabolic Channel?

The Critical Depth for Parabolic Channel is defined as the flow condition where water depth reaches its minimum for a given discharge, ensuring efficient hydraulic conveyance and is represented as h_p = (3.375*((Q/S)^2)/[g])^(1/4) or Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4). Discharge of Channel is the rate of flow of a liquid & Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.

How to calculate Critical Depth for Parabolic Channel?

The Critical Depth for Parabolic Channel is defined as the flow condition where water depth reaches its minimum for a given discharge, ensuring efficient hydraulic conveyance is calculated using Critical Depth of Parabolic Channel = (3.375*((Discharge of Channel/Bed Slope)^2)/[g])^(1/4). To calculate Critical Depth for Parabolic Channel, you need Discharge of Channel (Q) & Bed Slope (S). With our tool, you need to enter the respective value for Discharge of Channel & Bed Slope 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 Parabolic Channel?

In this formula, Critical Depth of Parabolic Channel uses Discharge of Channel & Bed Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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