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/Yn)^3)*[g]/CVF^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/Yn)^3)*[g]/CVF^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)

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12 Integration of the Varied Flow Equation Calculators

Chezy Constant using Chezy Formula given Normal Depth of Wide Rectangular Channel
Go Chézy’s Coefficients for Varied Flow = sqrt(((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Bed Slope of Channel)
Chezy Formula for Critical Depth given Normal Depth of Wide Rectangular Channel
Go Critical Depth of Channel = (((Normal Depth of Varied Flow^3)*((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))/[g])^(1/3)
Chezy Formula for Normal Depth of Wide Rectangular Channel
Go Normal Depth of Varied Flow = (((Critical Depth of Channel^3)*[g])/((Chézy’s Coefficients for Varied Flow^2)*Bed Slope of Channel))^(1/3)
Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel
Go Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2)
Chezy Formula for Mean Velocity given Energy Slope
Go Mean Velocity for Varied Flow = sqrt(Energy Slope*(Chézy’s Coefficients for Varied Flow^2)*Hydraulic Radius of Channel)
Manning's Formula for Roughness Coefficient given Energy Slope
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
Go Mean Velocity for Varied Flow = (Energy Slope/(((Manning’s Roughness Coefficient)^2)/(Hydraulic Radius of Channel^(4/3))))^(1/2)
Chezy's Constant using Chezy Formula given Energy Slope
Go Chézy’s Coefficients for Varied Flow = (((Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel*Energy Slope))^(1/2)
Manning's Formula for Hydraulic Radius given Energy Slope
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
Go Energy Slope = ((Manning’s Roughness Coefficient*Mean Velocity for Varied Flow)^2)/(Hydraulic Radius of Channel^(4/3))
Chezy Formula for Hydraulic Radius given Energy Slope
Go Hydraulic Radius of Channel = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Energy Slope
Chezy Formula for Energy Slope
Go Energy Slope = ((Mean Velocity for Varied Flow/Chézy’s Coefficients for Varied Flow)^2)/Hydraulic Radius of Channel

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

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