Chezy Formula for Normal Depth 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%
✖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.ⓘ Bed Slope of Channel [S₀]			+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%

✖Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.ⓘ Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel [C]

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Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow
C = ((S_f/S₀)^(1/3))*d_f
This formula uses 4 Variables

Variables Used

Critical Depth of Channel - (Measured in Meter) - Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.
Energy Slope - Energy Slope is at a distance equal to the velocity head above the hydraulic gradient.
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.
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
Bed Slope of Channel: 4.001 --> No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = ((S_f/S₀)^(1/3))*d_f --> ((2.001/4.001)^(1/3))*3.3

Evaluating ... ...

C = 2.61942993066155

STEP 3: Convert Result to Output's Unit

2.61942993066155 Meter --> No Conversion Required

FINAL ANSWER

2.61942993066155 ≈ 2.61943 Meter <-- Critical Depth of Channel

(Calculation completed in 00.004 seconds)

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< Gradually Varied Flow in Channels Calculators

Froude Number given Top Width

LaTeX 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

LaTeX 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

LaTeX 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

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

Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel Formula

LaTeX Go

Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow
C = ((S_f/S₀)^(1/3))*d_f

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 Normal Depth given Energy Slope of Rectangular Channel?

Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel calculator uses Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow to calculate the Critical Depth of Channel, The Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel formula is defined as the depth of flow in critical condition. Critical Depth of Channel is denoted by C symbol.

How to calculate Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel using this online calculator? To use this online calculator for Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel, enter Energy Slope (S_f), Bed Slope of Channel (S₀) & Depth of Flow (d_f) and hit the calculate button. Here is how the Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel calculation can be explained with given input values -> 2.61943 = ((2.001/4.001)^(1/3))*3.3.

FAQ

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

The Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel formula is defined as the depth of flow in critical condition and is represented as C = ((S_f/S₀)^(1/3))*d_f or Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow. Energy Slope is at a distance equal to the velocity head above the hydraulic gradient, 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 & 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 Normal Depth given Energy Slope of Rectangular Channel?

The Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel formula is defined as the depth of flow in critical condition is calculated using Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(1/3))*Depth of Flow. To calculate Chezy Formula for Normal Depth given Energy Slope of Rectangular Channel, you need Energy Slope (S_f), Bed Slope of Channel (S₀) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Energy Slope, Bed Slope 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 Critical Depth of Channel?

In this formula, Critical Depth of Channel uses Energy Slope, Bed Slope of Channel & Depth of Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Depth of Channel = ((Energy Slope/Bed Slope of Channel)^(3/10))*Depth of Flow

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