Chezy Formula for Depth of Flow given Energy Slope of 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%
✖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.ⓘ Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel [d_f]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Critical Depth of Channel: 3 Meter --> 3 Meter No Conversion Required
Energy Slope: 2.001 --> No Conversion Required
Bed Slope of Channel: 4.001 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

d_f = 3.7794483006078

STEP 3: Convert Result to Output's Unit

3.7794483006078 Meter --> No Conversion Required

FINAL ANSWER

3.7794483006078 ≈ 3.779448 Meter <-- Depth of Flow

(Calculation completed in 00.020 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 Depth of Flow given Energy Slope of Rectangular Channel Formula

LaTeX Go

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

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 Depth of Flow given Energy Slope of Rectangular Channel?

Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel calculator uses Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3)) to calculate the Depth of Flow, The Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel is defined as the amount of fluid in the channel. Depth of Flow is denoted by d_f symbol.

How to calculate Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel using this online calculator? To use this online calculator for Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel, enter Critical Depth of Channel (C), Energy Slope (S_f) & Bed Slope of Channel (S₀) and hit the calculate button. Here is how the Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel calculation can be explained with given input values -> 3.779448 = 3/((2.001/4.001)^(1/3)).

FAQ

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

The Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel is defined as the amount of fluid in the channel and is represented as d_f = C/((S_f/S₀)^(1/3)) or Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3)). Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy, 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.

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

The Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel is defined as the amount of fluid in the channel is calculated using Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(1/3)). To calculate Chezy Formula for Depth of Flow given Energy Slope of Rectangular Channel, you need Critical Depth of Channel (C), Energy Slope (S_f) & Bed Slope of Channel (S₀). With our tool, you need to enter the respective value for Critical Depth of Channel, Energy Slope & Bed Slope of Channel 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 Depth of Flow?

In this formula, Depth of Flow uses Critical Depth of Channel, Energy Slope & Bed Slope of Channel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Depth of Flow = Total Energy in Open Channel-((Discharge for GVF Flow^2)/(2*[g]*Wetted Surface Area^2))
Depth of Flow = Critical Depth of Channel/((Energy Slope/Bed Slope of Channel)^(3/10))

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