Wetted Perimeter given Discharge through Channels Calculator

✖Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Channel [A]			+10% -10%
✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%
✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+10% -10%
✖The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.ⓘ Chezy's Constant [C]			+10% -10%

✖Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter given Discharge through Channels [p]

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Wetted Perimeter given Discharge through Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2)
p = ((A^3)*S)/((Q/C)^2)
This formula uses 5 Variables

Variables Used

Wetted Perimeter of Channel - (Measured in Meter) - Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
Wetted Surface Area of Channel - (Measured in Square Meter) - Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
Chezy's Constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

STEP 1: Convert Input(s) to Base Unit

Wetted Surface Area of Channel: 25 Square Meter --> 25 Square Meter No Conversion Required
Bed Slope: 0.0004 --> No Conversion Required
Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Chezy's Constant: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = ((A^3)*S)/((Q/C)^2) --> ((25^3)*0.0004)/((14/40)^2)

Evaluating ... ...

p = 51.0204081632653

STEP 3: Convert Result to Output's Unit

51.0204081632653 Meter --> No Conversion Required

FINAL ANSWER

51.0204081632653 ≈ 51.02041 Meter <-- Wetted Perimeter of Channel

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Chezy Constant given Discharge through Channels

LaTeX Go Chezy's Constant = Discharge of Channel/(sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel))

Discharge through Channels

LaTeX Go Discharge of Channel = Chezy's Constant*sqrt((Wetted Surface Area of Channel^3)*Bed Slope/Wetted Perimeter of Channel)

Wetted Area given Discharge through Channels

LaTeX Go Wetted Surface Area of Channel = (((Discharge of Channel/Chezy's Constant)^2)*Wetted Perimeter of Channel/Bed Slope)^(1/3)

Wetted Perimeter given Discharge through Channels

LaTeX Go Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2)

Wetted Perimeter given Discharge through Channels Formula

LaTeX Go

Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2)
p = ((A^3)*S)/((Q/C)^2)

What is Chezy Constant?

This equation is called as Chezy's Formula. Where, A is the area of flow of water, m is the hydraulic mean depth or hydraulic radius, 'i' is the slope of the bed and 'C' is the Chezy's Constant.

How to Calculate Wetted Perimeter given Discharge through Channels?

Wetted Perimeter given Discharge through Channels calculator uses Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2) to calculate the Wetted Perimeter of Channel, The Wetted Perimeter given Discharge through Channels is defined as boundary in contact with water of channel. Wetted Perimeter of Channel is denoted by p symbol.

How to calculate Wetted Perimeter given Discharge through Channels using this online calculator? To use this online calculator for Wetted Perimeter given Discharge through Channels, enter Wetted Surface Area of Channel (A), Bed Slope (S), Discharge of Channel (Q) & Chezy's Constant (C) and hit the calculate button. Here is how the Wetted Perimeter given Discharge through Channels calculation can be explained with given input values -> 51.02041 = ((25^3)*0.0004)/((14/40)^2).

FAQ

What is Wetted Perimeter given Discharge through Channels?

The Wetted Perimeter given Discharge through Channels is defined as boundary in contact with water of channel and is represented as p = ((A^3)*S)/((Q/C)^2) or Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2). Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water, Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow, Discharge of Channel is the rate of flow of a liquid & The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

How to calculate Wetted Perimeter given Discharge through Channels?

The Wetted Perimeter given Discharge through Channels is defined as boundary in contact with water of channel is calculated using Wetted Perimeter of Channel = ((Wetted Surface Area of Channel^3)*Bed Slope)/((Discharge of Channel/Chezy's Constant)^2). To calculate Wetted Perimeter given Discharge through Channels, you need Wetted Surface Area of Channel (A), Bed Slope (S), Discharge of Channel (Q) & Chezy's Constant (C). With our tool, you need to enter the respective value for Wetted Surface Area of Channel, Bed Slope, Discharge of Channel & Chezy's Constant 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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