Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel Calculator

✖Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.ⓘ Energy Slope [S_f]			+10% -10%
✖Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.ⓘ Critical Depth of Channel [C]			+10% -10%
✖Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Flow [d_f]			+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 Energy Slope of Rectangular Channel [S₀]

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Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel

Formula

S 0 = \frac{S f}{{(\frac{C}{d f})}^{3}}

Example

2.663331 = \frac{2.001}{{(\frac{3 m}{3.3 m})}^{3}}

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Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)
S₀ = S_f/(C/d_f)^(3)
This formula uses 4 Variables

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.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
Critical Depth of Channel - (Measured in Meter) - Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.
Depth of Flow - (Measured in Meter) - Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

STEP 1: Convert Input(s) to Base Unit

Energy Slope: 2.001 --> No Conversion Required
Critical Depth of Channel: 3 Meter --> 3 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S₀ = S_f/(C/d_f)^(3) --> 2.001/(3/3.3)^(3)

Evaluating ... ...

S₀ = 2.663331

STEP 3: Convert Result to Output's Unit

2.663331 --> No Conversion Required

FINAL ANSWER

2.663331 <-- Bed Slope of Channel

(Calculation completed in 00.004 seconds)

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< Gradually Varied Flow in Channels Calculators

Froude Number given Top Width

Go Froude Number = sqrt(Discharge for GVF Flow^2*Top Width/([g]*Wetted Surface Area^3))

Froude Number given Slope of Dynamic Equation of Gradually Varied Flow

Go Froude No by Dynamic Equation = sqrt(1-((Bed Slope of Channel-Energy Slope)/Slope of Line))

Bed Slope given Slope of Dynamic Equation of Gradually Varied Flow

Go Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))

Slope of Dynamic Equation of Gradually Varied Flows

Go Slope of Line = (Bed Slope of Channel-Energy Slope)/(1-(Froude No by Dynamic Equation^2))

Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel Formula

Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3)
S₀ = S_f/(C/d_f)^(3)

What is Gradually Varied Flow?

Gradually varied. flow (GVF), which is a form of steady. nonuniform flow characterized by gradual variations in flow depth and velocity (small slopes and no abrupt changes) and a free surface that always remains smooth (no discontinuities or zigzags).

How to Calculate Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel?

Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel calculator uses Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3) to calculate the Bed Slope of Channel, The Chezy formula for Bed Slope given Energy Slope of Rectangular Channel is defined as the slope of bed in channel flows. Bed Slope of Channel is denoted by S₀ symbol.

How to calculate Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel using this online calculator? To use this online calculator for Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel, enter Energy Slope (S_f), Critical Depth of Channel (C) & Depth of Flow (d_f) and hit the calculate button. Here is how the Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel calculation can be explained with given input values -> 2.663331 = 2.001/(3/3.3)^(3).

FAQ

What is Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel?

The Chezy formula for Bed Slope given Energy Slope of Rectangular Channel is defined as the slope of bed in channel flows and is represented as S₀ = S_f/(C/d_f)^(3) or Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3). Energy Slope is at a distance equal to the velocity head above the hydraulic gradient, Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy & Depth of Flow is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

How to calculate Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel?

The Chezy formula for Bed Slope given Energy Slope of Rectangular Channel is defined as the slope of bed in channel flows is calculated using Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(3). To calculate Chezy Formula for Bed Slope given Energy Slope of Rectangular Channel, you need Energy Slope (S_f), Critical Depth of Channel (C) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Energy Slope, Critical Depth of Channel & Depth of Flow and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Bed Slope of Channel?

In this formula, Bed Slope of Channel uses Energy Slope, Critical Depth of Channel & Depth of Flow. We can use 3 other way(s) to calculate the same, which is/are as follows -

Bed Slope of Channel = Energy Slope+(Slope of Line*(1-(Froude No by Dynamic Equation^2)))
Bed Slope of Channel = Hydraulic Gradient to Head Loss+Energy Slope
Bed Slope of Channel = Energy Slope/(Critical Depth of Channel/Depth of Flow)^(10/3)

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