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 00.020 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
Maiarutselvan V has created this Calculator and 300+ more calculators!
Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
Sai Venkata Phanindra Chary Arendra has verified this Calculator and 300+ more calculators!

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

Area of Flow for Circular Channel Formula

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))

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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