Bazin's constant Calculator

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Properties of Surfaces and Solids

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Flow in Open Channels

Closed Channel

✖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 for Open Channel [m]			+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%

✖Bazin's constant for flow in open channel is a factor used in the equation for calculating the average velocity of water flowing in an open channel.ⓘ Bazin's constant [K]

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Formula

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Bazin's constant

Formula

`"K" = (sqrt("m"))*((157.6/"C")-1.81)`

Example

`"0.531147"=(sqrt("0.423m"))*((157.6/"60")-1.81)`

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Bazin's constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
K = (sqrt(m))*((157.6/C)-1.81)
This formula uses 1 Functions, 3 Variables

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

Bazin's Constant for Flow in Open Channel - Bazin's constant for flow in open channel is a factor used in the equation for calculating the average velocity of water flowing in an open channel.
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.
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

Hydraulic Mean Depth for Open Channel: 0.423 Meter --> 0.423 Meter No Conversion Required
Chezy's Constant for Flow in Open Channel: 60 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K = (sqrt(m))*((157.6/C)-1.81) --> (sqrt(0.423))*((157.6/60)-1.81)

Evaluating ... ...

K = 0.53114734302263

STEP 3: Convert Result to Output's Unit

0.53114734302263 --> No Conversion Required

FINAL ANSWER

0.53114734302263 ≈ 0.531147 <-- Bazin's Constant for Flow in Open Channel

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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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

Bazin's constant Formula

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)
K = (sqrt(m))*((157.6/C)-1.81)

What is meant by Bazin's formula?

An equation for calculating the average velocity of water flowing in an open channel, proposed in 1897 by H. E. Bazin (1829–1917). It relates the Chezy discharge coefficient (C) to the hydraulic radius (r) and a channel roughness coefficient (k).

What is Chezy's formula?

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 Bazin's constant?

Bazin's constant calculator uses 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) to calculate the Bazin's Constant for Flow in Open Channel, The Bazin's constant formula is known while considering the square of hydraulic mean depth and Chezy's constant with constant numbers. Bazin's Constant for Flow in Open Channel is denoted by K symbol.

How to calculate Bazin's constant using this online calculator? To use this online calculator for Bazin's constant, enter Hydraulic Mean Depth for Open Channel (m) & Chezy's Constant for Flow in Open Channel (C) and hit the calculate button. Here is how the Bazin's constant calculation can be explained with given input values -> 0.531147 = (sqrt(0.423))*((157.6/60)-1.81).

FAQ

What is Bazin's constant?

The Bazin's constant formula is known while considering the square of hydraulic mean depth and Chezy's constant with constant numbers and is represented as K = (sqrt(m))*((157.6/C)-1.81) or 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). Hydraulic mean depth for open channel is defined as the area of the flow section divided by the top water surface width & 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 Bazin's constant?

The Bazin's constant formula is known while considering the square of hydraulic mean depth and Chezy's constant with constant numbers is calculated using 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). To calculate Bazin's constant, you need Hydraulic Mean Depth for Open Channel (m) & Chezy's Constant for Flow in Open Channel (C). With our tool, you need to enter the respective value for Hydraulic Mean Depth for 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.

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