Side Slope of Channel Bed given Discharge through Channels Calculator

✖Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter of Channel [p]			+10% -10%
✖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%
✖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%

✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Side Slope of Channel Bed given Discharge through Channels [S]

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Side Slope of Channel Bed given Discharge through Channels Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 Perimeter of Channel: 16 Meter --> 16 Meter No Conversion Required
Wetted Surface Area of Channel: 25 Square Meter --> 25 Square Meter 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

S = p/(((A^3))/((Q/C)^2)) --> 16/(((25^3))/((14/40)^2))

Evaluating ... ...

S = 0.00012544

STEP 3: Convert Result to Output's Unit

0.00012544 --> No Conversion Required

FINAL ANSWER

0.00012544 ≈ 0.000125 <-- Bed Slope

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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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)

Side Slope of Channel Bed given Discharge through Channels Formula

LaTeX Go

Bed Slope = Wetted Perimeter of Channel/(((Wetted Surface Area of Channel^3))/((Discharge of Channel/Chezy's Constant)^2))
S = p/(((A^3))/((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 Side Slope of Channel Bed given Discharge through Channels?

Side Slope of Channel Bed given Discharge through Channels calculator uses Bed Slope = Wetted Perimeter of Channel/(((Wetted Surface Area of Channel^3))/((Discharge of Channel/Chezy's Constant)^2)) to calculate the Bed Slope, The Side Slope of Channel Bed given Discharge through Channels is defined as elevation of boundary with respect to vertical. Bed Slope is denoted by S symbol.

How to calculate Side Slope of Channel Bed given Discharge through Channels using this online calculator? To use this online calculator for Side Slope of Channel Bed given Discharge through Channels, enter Wetted Perimeter of Channel (p), Wetted Surface Area of Channel (A), Discharge of Channel (Q) & Chezy's Constant (C) and hit the calculate button. Here is how the Side Slope of Channel Bed given Discharge through Channels calculation can be explained with given input values -> 0.000125 = 16/(((25^3))/((14/40)^2)).

FAQ

What is Side Slope of Channel Bed given Discharge through Channels?

The Side Slope of Channel Bed given Discharge through Channels is defined as elevation of boundary with respect to vertical and is represented as S = p/(((A^3))/((Q/C)^2)) or Bed Slope = Wetted Perimeter of Channel/(((Wetted Surface Area of Channel^3))/((Discharge of Channel/Chezy's Constant)^2)). 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 [length^2] is the total area of outer surface in contact with the surrounding water, 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 Side Slope of Channel Bed given Discharge through Channels?

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