Hydraulic mean depth using Chezy's formula Calculator

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Properties of Surfaces and Solids

Draft Tube

Orifices and Mouthpieces

Viscous Flow

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Flow in Open Channels

Closed Channel

✖Slope of bed of open channel is the slope of the bottom surface or the bed of a open channel containing fluid that is undergoing steady, uniform flow.ⓘ Slope of Bed of Open Channel [i]			+10% -10%
✖Flow velocity in open channel is the velocity of flow of the liquid through the open channel.ⓘ Flow Velocity in Open Channel [v]			+10% -10%
✖Chezy's constant for flow in open channel is a factor used in the equation that estimates mean flow velocity in open channel conduits.ⓘ Chezy's Constant for Flow in Open Channel [C]			+10% -10%

✖Hydraulic mean depth for open channel is defined as the area of the flow section divided by the top water surface width.ⓘ Hydraulic mean depth using Chezy's formula [m]

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Formula

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Hydraulic mean depth using Chezy's formula

Formula

`"m" = (1/"i")*("v"/"C")^2`

Example

`"0.4232m"=(1/"0.005")*("2.76m/s"/"60")^2`

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Hydraulic mean depth using Chezy's formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2
m = (1/i)*(v/C)^2
This formula uses 4 Variables

Variables Used

Hydraulic Mean Depth for Open Channel - (Measured in Meter) - Hydraulic mean depth for open channel is defined as the area of the flow section divided by the top water surface width.
Slope of Bed of Open Channel - Slope of bed of open channel is the slope of the bottom surface or the bed of a open channel containing fluid that is undergoing steady, uniform flow.
Flow Velocity in Open Channel - (Measured in Meter per Second) - Flow velocity in open channel is the velocity of flow of the liquid through the open channel.
Chezy's Constant for Flow in Open Channel - Chezy's constant for flow in open channel is a factor used in the equation that estimates mean flow velocity in open channel conduits.

STEP 1: Convert Input(s) to Base Unit

Slope of Bed of Open Channel: 0.005 --> No Conversion Required
Flow Velocity in Open Channel: 2.76 Meter per Second --> 2.76 Meter per Second No Conversion Required
Chezy's Constant for Flow in Open Channel: 60 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = (1/i)*(v/C)^2 --> (1/0.005)*(2.76/60)^2

Evaluating ... ...

m = 0.4232

STEP 3: Convert Result to Output's Unit

0.4232 Meter --> No Conversion Required

FINAL ANSWER

0.4232 Meter <-- Hydraulic Mean Depth for Open Channel

(Calculation completed in 00.004 seconds)

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Credits

Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

Maiarutselvan V has created this Calculator and 300+ more calculators!

Verified by Sanjay Krishna

Amrita School of Engineering (ASE), Vallikavu

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< 19 Flow in Open Channels Calculators

Chezy's constant considering Kutter's formula

Go Chezy's Constant for Flow in Open Channel = (23+(0.00155/Slope of Bed of Open Channel)+(1/Manning’s Coefficient for Open Channel Flow))/(1+(23+(0.00155/Slope of Bed of Open Channel))*(Manning’s Coefficient for Open Channel Flow/sqrt(Hydraulic Mean Depth for Open Channel)))

Area of Flow for Circular Channel

Go Area of Flow of Circular Channel = (Radius of Circular Open Channel^2)*(Half Angle by Water Surface in Circular Channel-((sin(2*Half Angle by Water Surface in Circular Channel))/2))

Chezy's constant considering velocity

Go Chezy's Constant for Flow in Open Channel = Flow Velocity in Open Channel/(sqrt(Hydraulic Mean Depth for Open Channel*Slope of Bed of Open Channel))

Velocity of Chezy's formula

Go Flow Velocity in Open Channel = Chezy's Constant for Flow in Open Channel*sqrt(Hydraulic Mean Depth for Open Channel*Slope of Bed of Open Channel)

Hydraulic mean depth using Chezy's formula

Go Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2

Bazin's constant

Go Bazin's Constant for Flow in Open Channel = (sqrt(Hydraulic Mean Depth for Open Channel))*((157.6/Chezy's Constant for Flow in Open Channel)-1.81)

Chezy's constant considering Bazin formula

Go Chezy's Constant for Flow in Open Channel = 157.6/(1.81+(Bazin's Constant for Flow in Open Channel/sqrt(Hydraulic Mean Depth for Open Channel)))

Hydraulic mean depth considering Bazin formula

Go Hydraulic Mean Depth for Open Channel = (Bazin's Constant for Flow in Open Channel/(((157.6/Chezy's Constant for Flow in Open Channel)-1.81)))^2

Chezy's constant considering Manning's formula

Go Chezy's Constant for Flow in Open Channel = (1/Manning’s Coefficient for Open Channel Flow)*(Hydraulic Mean Depth for Open Channel^(1/6))

Manning's coefficient or constant

Go Manning’s Coefficient for Open Channel Flow = (1/Chezy's Constant for Flow in Open Channel)*Hydraulic Mean Depth for Open Channel^(1/6)

Hydraulic mean depth considering Manning's formula

Go Hydraulic Mean Depth for Open Channel = (Chezy's Constant for Flow in Open Channel*Manning’s Coefficient for Open Channel Flow)^6

Discharge per unit width considering flow in open channels

Go Discharge Per Unit Width in Open Channel = sqrt((Critical Depth for Flow in Open Channel^3)*[g])

Radius of Circular Channel using Wetted Perimeter

Go Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel)

Critical velocity considering flow in open channels

Go Critical Velocity for Flow in Open Channel = sqrt([g]*Critical Depth for Flow in Open Channel)

Wetted Perimeter for Circular Channel

Go Wetted Perimeter of Circular Open Channel = 2*Radius of Circular Open Channel*Half Angle by Water Surface in Circular Channel

Critical depth considering flow in open channels

Go Critical Depth for Flow in Open Channel = ((Discharge Per Unit Width in Open Channel^2)/[g])^(1/3)

Critical Depth using Critical Velocity

Go Critical Depth for Flow in Open Channel = (Critical Velocity for Flow in Open Channel^2)/[g]

Critical depth considering minimum specific energy

Go Critical Depth for Flow in Open Channel = (2/3)*Minimum Specific Energy for Open Channel Flow

Minimum Specific Energy using Critical Depth

Go Minimum Specific Energy for Open Channel Flow = (3/2)*Critical Depth for Flow in Open Channel

Hydraulic mean depth using Chezy's formula Formula

Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2
m = (1/i)*(v/C)^2

What is slope of bed?

The Slope of the bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering, stream restoration.

What is Chezy's formula?

The Chezy's constant 'C' is a dimensionless quantity that can be calculated by three formulas. This formula is useful for extending river-flow rating curves.

How to Calculate Hydraulic mean depth using Chezy's formula?

Hydraulic mean depth using Chezy's formula calculator uses Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2 to calculate the Hydraulic Mean Depth for Open Channel, The Hydraulic mean depth using Chezy's formula is known while considering the inverse of the slope of bed, and the square of the velocity to the Chezy's constant. Hydraulic Mean Depth for Open Channel is denoted by m symbol.

How to calculate Hydraulic mean depth using Chezy's formula using this online calculator? To use this online calculator for Hydraulic mean depth using Chezy's formula, enter Slope of Bed of Open Channel (i), Flow Velocity in Open Channel (v) & Chezy's Constant for Flow in Open Channel (C) and hit the calculate button. Here is how the Hydraulic mean depth using Chezy's formula calculation can be explained with given input values -> 0.4232 = (1/0.005)*(2.76/60)^2.

FAQ

What is Hydraulic mean depth using Chezy's formula?

The Hydraulic mean depth using Chezy's formula is known while considering the inverse of the slope of bed, and the square of the velocity to the Chezy's constant and is represented as m = (1/i)*(v/C)^2 or Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2. Slope of bed of open channel is the slope of the bottom surface or the bed of a open channel containing fluid that is undergoing steady, uniform flow, Flow velocity in open channel is the velocity of flow of the liquid through the open channel & Chezy's constant for flow in open channel is a factor used in the equation that estimates mean flow velocity in open channel conduits.

How to calculate Hydraulic mean depth using Chezy's formula?

The Hydraulic mean depth using Chezy's formula is known while considering the inverse of the slope of bed, and the square of the velocity to the Chezy's constant is calculated using Hydraulic Mean Depth for Open Channel = (1/Slope of Bed of Open Channel)*(Flow Velocity in Open Channel/Chezy's Constant for Flow in Open Channel)^2. To calculate Hydraulic mean depth using Chezy's formula, you need Slope of Bed of Open Channel (i), Flow Velocity in Open Channel (v) & Chezy's Constant for Flow in Open Channel (C). With our tool, you need to enter the respective value for Slope of Bed of Open Channel, Flow Velocity in Open Channel & Chezy's Constant for Flow in Open Channel 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 Hydraulic Mean Depth for Open Channel?

In this formula, Hydraulic Mean Depth for Open Channel uses Slope of Bed of Open Channel, Flow Velocity in Open Channel & Chezy's Constant for Flow in Open Channel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hydraulic Mean Depth for Open Channel = (Bazin's Constant for Flow in Open Channel/(((157.6/Chezy's Constant for Flow in Open Channel)-1.81)))^2
Hydraulic Mean Depth for Open Channel = (Chezy's Constant for Flow in Open Channel*Manning’s Coefficient for Open Channel Flow)^6

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