Radius of Circular Channel using Wetted Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel)
R = P/(2*θ)
This formula uses 3 Variables
Variables Used
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.
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.
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
Wetted Perimeter of Circular Open Channel: 0.95 Meter --> 0.95 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
R = P/(2*θ) --> 0.95/(2*2.687)
Evaluating ... ...
R = 0.176777074804615
STEP 3: Convert Result to Output's Unit
0.176777074804615 Meter --> No Conversion Required
FINAL ANSWER
0.176777074804615 0.176777 Meter <-- Radius of Circular 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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Vallurupalli Nageswara Rao Vignana Jyothi Institute of Engineering and Technology (VNRVJIET), Hyderabad
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​ 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)
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​ 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)))

Radius of Circular Channel using Wetted Perimeter Formula

​LaTeX ​Go
Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel)
R = P/(2*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 Radius of Circular Channel using Wetted Perimeter?

Radius of Circular Channel using Wetted Perimeter calculator uses Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel) to calculate the Radius of Circular Open Channel, The Radius of circular channel using wetted perimeter is known while considering the ratio of wetted perimeter to the twice of the half-angle subtended by the water surface at the centre. Radius of Circular Open Channel is denoted by R symbol.

How to calculate Radius of Circular Channel using Wetted Perimeter using this online calculator? To use this online calculator for Radius of Circular Channel using Wetted Perimeter, enter Wetted Perimeter of Circular Open Channel (P) & Half Angle by Water Surface in Circular Channel (θ) and hit the calculate button. Here is how the Radius of Circular Channel using Wetted Perimeter calculation can be explained with given input values -> 0.176777 = 0.95/(2*2.687).

FAQ

What is Radius of Circular Channel using Wetted Perimeter?
The Radius of circular channel using wetted perimeter is known while considering the ratio of wetted perimeter to the twice of the half-angle subtended by the water surface at the centre and is represented as R = P/(2*θ) or Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel). Wetted perimeter of circular open channel is defined as the surface of the channel's bottom and sides in direct contact with the liquid & 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 Radius of Circular Channel using Wetted Perimeter?
The Radius of circular channel using wetted perimeter is known while considering the ratio of wetted perimeter to the twice of the half-angle subtended by the water surface at the centre is calculated using Radius of Circular Open Channel = Wetted Perimeter of Circular Open Channel/(2*Half Angle by Water Surface in Circular Channel). To calculate Radius of Circular Channel using Wetted Perimeter, you need Wetted Perimeter of Circular Open Channel (P) & Half Angle by Water Surface in Circular Channel (θ). With our tool, you need to enter the respective value for Wetted Perimeter 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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