Area of Flow for Circular Channel Calculator

✖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%

✖Area of flow of circular channel is the area of cross-section of the flow of a circular open channel.ⓘ Area of Flow for Circular Channel [A]

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Area of Flow for Circular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
A = (R^2)*(θ-((sin(2*θ))/2))
This formula uses 1 Functions, 3 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Area of Flow of Circular Channel - (Measured in Square Meter) - Area of flow of circular channel is the area of cross-section of the flow of a circular open channel.
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

A = (R^2)*(θ-((sin(2*θ))/2)) --> (0.75^2)*(2.687-((sin(2*2.687))/2))

Evaluating ... ...

A = 1.73334472410464

STEP 3: Convert Result to Output's Unit

1.73334472410464 Square Meter --> No Conversion Required

FINAL ANSWER

1.73334472410464 ≈ 1.733345 Square Meter <-- Area of Flow of Circular 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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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad

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< Flow in Open Channels Calculators

Chezy's constant considering velocity

LaTeX 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

LaTeX 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

LaTeX 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

Chezy's constant considering Bazin formula

LaTeX 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)))

Area of Flow for Circular Channel Formula

LaTeX Go

What is meant by flow in open channels?

Open Channel Flow is defined as fluid flow with a free surface open to the atmosphere. Examples include streams, rivers, and culverts not flowing full. Open channel flow assumes that the pressure at the surface is constant and the hydraulic grade line is at the surface of the fluid.

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 Area of Flow for Circular Channel?

Area of Flow for Circular Channel calculator uses 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)) to calculate the Area of Flow of Circular Channel, The Area of flow for circular channel formula is known while considering the radius of the circular path, and the half-angle subtended by the water surface at the centre. Area of Flow of Circular Channel is denoted by A symbol.

How to calculate Area of Flow for Circular Channel using this online calculator? To use this online calculator for Area of Flow 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 Area of Flow for Circular Channel calculation can be explained with given input values -> 1.733345 = (0.75^2)*(2.687-((sin(2*2.687))/2)).

FAQ

What is Area of Flow for Circular Channel?

The Area of flow for circular channel formula is known while considering the radius of the circular path, and the half-angle subtended by the water surface at the centre and is represented as A = (R^2)*(θ-((sin(2*θ))/2)) or 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)). 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 Area of Flow for Circular Channel?

The Area of flow for circular channel formula is known while considering the radius of the circular path, and the half-angle subtended by the water surface at the centre is calculated using 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)). To calculate Area of Flow 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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