Discharge given Critical Depth for Parabolic Channel Calculator

✖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 of Parabolic Channel [h_p]			+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%

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge given Critical Depth for Parabolic Channel [Q]

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Discharge given Critical Depth for Parabolic Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629*[g])
Q = sqrt((h_p^4)*((S)^2)*0.29629629629*[g])
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
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.
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

Critical Depth of Parabolic Channel: 143 Meter --> 143 Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Q = sqrt((h_p^4)*((S)^2)*0.29629629629*[g]) --> sqrt((143^4)*((0.0004)^2)*0.29629629629*[g])

Evaluating ... ...

Q = 13.9429771442009

STEP 3: Convert Result to Output's Unit

13.9429771442009 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

13.9429771442009 ≈ 13.94298 Cubic Meter per Second <-- Discharge of Channel

(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Critical Flow and its Computation Calculators

Critical Depth for Rectangular Channel

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

Discharge per unit Width given Critical Depth for Rectangular Channel

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

Discharge given Critical Section Factor

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

Critical Section Factor

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

Discharge given Critical Depth for Parabolic Channel Formula

LaTeX Go

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

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 Discharge given Critical Depth for Parabolic Channel?

Discharge given Critical Depth for Parabolic Channel calculator uses Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629*[g]) to calculate the Discharge of Channel, Discharge given Critical Depth for Parabolic Channel is defined as amount of flow in channel. Discharge of Channel is denoted by Q symbol.

How to calculate Discharge given Critical Depth for Parabolic Channel using this online calculator? To use this online calculator for Discharge given Critical Depth for Parabolic Channel, enter Critical Depth of Parabolic Channel (h_p) & Bed Slope (S) and hit the calculate button. Here is how the Discharge given Critical Depth for Parabolic Channel calculation can be explained with given input values -> 13.94298 = sqrt((143^4)*((0.0004)^2)*0.29629629629*[g]).

FAQ

What is Discharge given Critical Depth for Parabolic Channel?

Discharge given Critical Depth for Parabolic Channel is defined as amount of flow in channel and is represented as Q = sqrt((h_p^4)*((S)^2)*0.29629629629*[g]) or Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629*[g]). The Critical Depth of Parabolic Channel is defined as the depth of flow where energy is at a minimum for a particular discharge & 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 Discharge given Critical Depth for Parabolic Channel?

Discharge given Critical Depth for Parabolic Channel is defined as amount of flow in channel is calculated using Discharge of Channel = sqrt((Critical Depth of Parabolic Channel^4)*((Bed Slope)^2)*0.29629629629*[g]). To calculate Discharge given Critical Depth for Parabolic Channel, you need Critical Depth of Parabolic Channel (h_p) & Bed Slope (S). With our tool, you need to enter the respective value for Critical Depth of Parabolic 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 Discharge of Channel?

In this formula, Discharge of Channel uses Critical Depth of Parabolic Channel & Bed Slope. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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