Discharge per unit Width given 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 of Rectangular Channel [h_r]

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✖The Discharge per unit Width is the ratio of total discharge in the channel to the width considered.ⓘ Discharge per unit Width given Critical Depth for Rectangular Channel [q]

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Discharge per unit Width given Critical Depth for Rectangular Channel

Formula

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

Example

`"10.07964m²/s"=((("2.18m")^3)*"[g]")^(1/2)`

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Discharge per unit Width given Critical Depth for Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Depth of Rectangular Channel: 2.18 Meter --> 2.18 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

q = ((h_r^3)*[g])^(1/2) --> ((2.18^3)*[g])^(1/2)

Evaluating ... ...

q = 10.0796413201463

STEP 3: Convert Result to Output's Unit

10.0796413201463 Square Meter per Second --> No Conversion Required

FINAL ANSWER

10.0796413201463 ≈ 10.07964 Square Meter per Second <-- Discharge per unit Width

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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

Discharge per unit Width given Critical Depth for Rectangular Channel Formula

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

What is Rate of Flow?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Discharge per unit Width given Critical Depth for Rectangular Channel?

Discharge per unit Width given Critical Depth for Rectangular Channel calculator uses Discharge per unit Width = ((Critical Depth of Rectangular Channel^3)*[g])^(1/2) to calculate the Discharge per unit Width, Discharge per unit Width given Critical Depth for Rectangular Channel is defined as discharge flowing in section of channel. Discharge per unit Width is denoted by q symbol.

How to calculate Discharge per unit Width given Critical Depth for Rectangular Channel using this online calculator? To use this online calculator for Discharge per unit Width given Critical Depth for Rectangular Channel, enter Critical Depth of Rectangular Channel (h_r) and hit the calculate button. Here is how the Discharge per unit Width given Critical Depth for Rectangular Channel calculation can be explained with given input values -> 10.07964 = ((2.18^3)*[g])^(1/2).

FAQ

What is Discharge per unit Width given Critical Depth for Rectangular Channel?

Discharge per unit Width given Critical Depth for Rectangular Channel is defined as discharge flowing in section of channel and is represented as q = ((h_r^3)*[g])^(1/2) or Discharge per unit Width = ((Critical Depth of Rectangular Channel^3)*[g])^(1/2). The Critical Depth of Rectangular Channel is defined as the depth of flow where energy is at a minimum for a particular discharge.

How to calculate Discharge per unit Width given Critical Depth for Rectangular Channel?

Discharge per unit Width given Critical Depth for Rectangular Channel is defined as discharge flowing in section of channel is calculated using Discharge per unit Width = ((Critical Depth of Rectangular Channel^3)*[g])^(1/2). To calculate Discharge per unit Width given Critical Depth for Rectangular Channel, you need Critical Depth of Rectangular Channel (h_r). With our tool, you need to enter the respective value for Critical Depth of Rectangular Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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