Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Calculator

✖Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.ⓘ Critical Depth of Channel [C]			+10% -10%
✖Normal Depth of Varied Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.ⓘ Normal Depth of Varied Flow [Y_n]			+10% -10%
✖Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.ⓘ Chézy’s Coefficients for Varied Flow [C_VF]			+10% -10%

✖Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel [S₀]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Non uniform Flow in Channels Formula PDF PDF Image

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2)
S₀ = (((C/Y_n)^3)*[g]/C_VF^2)
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Bed Slope of Channel - Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Critical Depth of Channel - (Measured in Meter) - Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.
Normal Depth of Varied Flow - (Measured in Meter) - Normal Depth of Varied Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.
Chézy’s Coefficients for Varied Flow - Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

STEP 1: Convert Input(s) to Base Unit

Critical Depth of Channel: 3 Meter --> 3 Meter No Conversion Required
Normal Depth of Varied Flow: 0.24 Meter --> 0.24 Meter No Conversion Required
Chézy’s Coefficients for Varied Flow: 69.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S₀ = (((C/Y_n)^3)*[g]/C_VF^2) --> (((3/0.24)^3)*[g]/69.2^2)

Evaluating ... ...

S₀ = 3.9998022990348

STEP 3: Convert Result to Output's Unit

3.9998022990348 --> No Conversion Required

FINAL ANSWER

3.9998022990348 ≈ 3.999802 <-- Bed Slope of Channel

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Non uniform Flow in Channels » Integration of the Varied Flow Equation » Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Integration of the Varied Flow Equation Calculators

Manning's Formula for Roughness Coefficient given Energy Slope

LaTeX Go Manning’s Roughness Coefficient = (Energy Slope/(((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)

Manning's Formula for Mean Velocity given Energy Slope

LaTeX Go Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)

Manning's Formula for Hydraulic Radius given Energy Slope

LaTeX Go Hydraulic Radius of Channel = (((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/Energy Slope)^(3/4)

Manning's Formula for Energy Slope

LaTeX Go Energy Slope = ((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Formula

LaTeX Go

Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2)
S₀ = (((C/Y_n)^3)*[g]/C_VF^2)

What is Normal Depth?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Normal depth occurs when gravitational force of the water is equal to the friction drag along the culvert and there is no acceleration of flow.

How to Calculate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel calculator uses Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2) to calculate the Bed Slope of Channel, The Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel formula is defined as the formula which is used to calculate the channel slope of open channel flow. Bed Slope of Channel is denoted by S₀ symbol.

How to calculate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel using this online calculator? To use this online calculator for Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel, enter Critical Depth of Channel (C), Normal Depth of Varied Flow (Y_n) & Chézy’s Coefficients for Varied Flow (C_VF) and hit the calculate button. Here is how the Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel calculation can be explained with given input values -> 3.999802 = (((3/0.24)^3)*[g]/69.2^2).

FAQ

What is Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

The Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel formula is defined as the formula which is used to calculate the channel slope of open channel flow and is represented as S₀ = (((C/Y_n)^3)*[g]/C_VF^2) or Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2). Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy, Normal Depth of Varied Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant & Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

How to calculate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

The Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel formula is defined as the formula which is used to calculate the channel slope of open channel flow is calculated using Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2). To calculate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel, you need Critical Depth of Channel (C), Normal Depth of Varied Flow (Y_n) & Chézy’s Coefficients for Varied Flow (C_VF). With our tool, you need to enter the respective value for Critical Depth of Channel, Normal Depth of Varied Flow & Chézy’s Coefficients for Varied Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search