Wetted Perimeter for Circular Channel Calculator

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Flow in Open Channels

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✖Radius of circular open channel is the measure of the radius of the curved path of a circular open channel for liquid flow.ⓘ Radius of Circular Open Channel [R]			+10% -10%
✖Half angle by water surface in circular channel at the center is half of the total angle subtended by the flow in open channels having a circular channel.ⓘ Half Angle by Water Surface in Circular Channel [θ]			+10% -10%

✖Wetted perimeter of circular open channel is defined as the surface of the channel's bottom and sides in direct contact with the liquid.ⓘ Wetted Perimeter for Circular Channel [P]

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Formula

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Wetted Perimeter for Circular Channel

Formula

`"P" = 2*"R"*"θ"`

Example

`"4.0305m"=2*"0.75m"*"2.687rad"`

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Wetted Perimeter for Circular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Perimeter of Circular Open Channel = 2*Radius of Circular Open Channel*Half Angle by Water Surface in Circular Channel
P = 2*R*θ
This formula uses 3 Variables

Variables Used

Wetted Perimeter of Circular Open Channel - (Measured in Meter) - Wetted perimeter of circular open channel is defined as the surface of the channel's bottom and sides in direct contact with the liquid.
Radius of Circular Open Channel - (Measured in Meter) - Radius of circular open channel is the measure of the radius of the curved path of a circular open channel for liquid flow.
Half Angle by Water Surface in Circular Channel - (Measured in Radian) - Half angle by water surface in circular channel at the center is half of the total angle subtended by the flow in open channels having a circular channel.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Open Channel: 0.75 Meter --> 0.75 Meter No Conversion Required
Half Angle by Water Surface in Circular Channel: 2.687 Radian --> 2.687 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*R*θ --> 2*0.75*2.687

Evaluating ... ...

P = 4.0305

STEP 3: Convert Result to Output's Unit

4.0305 Meter --> No Conversion Required

FINAL ANSWER

4.0305 Meter <-- Wetted Perimeter of Circular Open Channel

(Calculation completed in 00.004 seconds)

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PSG College of Technology (PSGCT), Coimbatore

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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

Wetted Perimeter for Circular Channel Formula

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

What is a wetted perimeter?

In open channel flow, the wetted perimeter is defined as the surface of the channel bottom and sides in direct contact with the aqueous body. Friction losses typically increase with an increasing wetted perimeter, resulting in a decrease in the head.

What is an hydraulic radius?

The ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wetted perimeter of the conduit.

How to Calculate Wetted Perimeter for Circular Channel?

Wetted Perimeter for Circular Channel calculator uses Wetted Perimeter of Circular Open Channel = 2*Radius of Circular Open Channel*Half Angle by Water Surface in Circular Channel to calculate the Wetted Perimeter of Circular Open Channel, The Wetted perimeter for circular channel is known while considering twice the radius of the circular path, and the half-angle subtended by the water surface at the centre. Wetted Perimeter of Circular Open Channel is denoted by P symbol.

How to calculate Wetted Perimeter for Circular Channel using this online calculator? To use this online calculator for Wetted Perimeter for Circular Channel, enter Radius of Circular Open Channel (R) & Half Angle by Water Surface in Circular Channel (θ) and hit the calculate button. Here is how the Wetted Perimeter for Circular Channel calculation can be explained with given input values -> 4.0305 = 2*0.75*2.687.

FAQ

What is Wetted Perimeter for Circular Channel?

The Wetted perimeter for circular channel is known while considering twice the radius of the circular path, and the half-angle subtended by the water surface at the centre and is represented as P = 2*R*θ or Wetted Perimeter of Circular Open Channel = 2*Radius of Circular Open Channel*Half Angle by Water Surface in Circular Channel. Radius of circular open channel is the measure of the radius of the curved path of a circular open channel for liquid flow & Half angle by water surface in circular channel at the center is half of the total angle subtended by the flow in open channels having a circular channel.

How to calculate Wetted Perimeter for Circular Channel?

The Wetted perimeter for circular channel is known while considering twice the radius of the circular path, and the half-angle subtended by the water surface at the centre is calculated using Wetted Perimeter of Circular Open Channel = 2*Radius of Circular Open Channel*Half Angle by Water Surface in Circular Channel. To calculate Wetted Perimeter for Circular Channel, you need Radius of Circular Open Channel (R) & Half Angle by Water Surface in Circular Channel (θ). With our tool, you need to enter the respective value for Radius of Circular Open Channel & Half Angle by Water Surface in Circular 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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