Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF Calculator

✖The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.ⓘ Slope of Line [m]			+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%
✖The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth of Weir [h_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%

✖Normal Depth 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.ⓘ Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF [y]

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Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF

Formula

`"y" = ((1-(("m"/"S"_{"0"})*((1-((("h"_{"c"}/"d"_{"f"})^(3)))))))^(1/3))*"d"_{"f"} `

Example

`"1.003896m"=((1-(("4"/"4.001")*((1-((("1.001m"/"3.3m")^(3)))))))^(1/3))*"3.3m" `

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Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF Solution

STEP 0: Pre-Calculation Summary

Formula Used

Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow
y = ((1-((m/S₀)*((1-(((h_c/d_f)^(3)))))))^(1/3))*d_f
This formula uses 5 Variables

Variables Used

Normal Depth - (Measured in Meter) - Normal Depth 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.
Slope of Line - The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.
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 Weir - (Measured in Meter) - The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.
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

Slope of Line: 4 --> No Conversion Required
Bed Slope of Channel: 4.001 --> No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 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

y = ((1-((m/S₀)*((1-(((h_c/d_f)^(3)))))))^(1/3))*d_f --> ((1-((4/4.001)*((1-(((1.001/3.3)^(3)))))))^(1/3))*3.3

Evaluating ... ...

y = 1.00389623874799

STEP 3: Convert Result to Output's Unit

1.00389623874799 Meter --> No Conversion Required

FINAL ANSWER

1.00389623874799 ≈ 1.003896 Meter <-- Normal Depth

(Calculation completed in 00.004 seconds)

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Critical Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

Go Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(10/3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow

Chezy Formula for Critical Depth of Channel given Slope of Dynamic Equation of GVF

Go Critical Depth of Channel GVF Flow = ((1-(((1-((Normal Depth/Depth of Flow)^(3)))/(Slope of Line/Bed Slope of Channel)))^(1/3)))*Depth of Flow

Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow

Go Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow

Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF

Go Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow

Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow

Go Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3)))))

Bed Slope of Channel given Slope of Dynamic Equation of GVF through Chezy formula

Go Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3))))))

Slope of Dynamic Equations of Gradually Varied Flow

Go Slope of Line = Bed Slope of Channel*((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))

Chezy Formula for Slope of Dynamic Equation of Gradually Varied Flow

Go Slope of Line = Bed Slope of Channel*((1-((Normal Depth/Depth of Flow)^(3)))/(1-(((Critical Depth of Weir/Depth of Flow)^(3)))))

Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF Formula

Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow
y = ((1-((m/S₀)*((1-(((h_c/d_f)^(3)))))))^(1/3))*d_f

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 Normal Depth of Channel given Slope of Dynamic Equation of GVF?

Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF calculator uses Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow to calculate the Normal Depth, The Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF formula is defined as the formula which is used to calculate the depth corresponding to particular energy in the system. Normal Depth is denoted by y symbol.

How to calculate Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF using this online calculator? To use this online calculator for Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF, enter Slope of Line (m), Bed Slope of Channel (S₀), Critical Depth of Weir (h_c) & Depth of Flow (d_f) and hit the calculate button. Here is how the Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF calculation can be explained with given input values -> 1.003896 = ((1-((4/4.001)*((1-(((1.001/3.3)^(3)))))))^(1/3))*3.3 .

FAQ

What is Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF?

The Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF formula is defined as the formula which is used to calculate the depth corresponding to particular energy in the system and is represented as y = ((1-((m/S₀)*((1-(((h_c/d_f)^(3)))))))^(1/3))*d_f or Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow. The Slope of Line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line, 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, The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge & 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 of Channel given Slope of Dynamic Equation of GVF?

The Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF formula is defined as the formula which is used to calculate the depth corresponding to particular energy in the system is calculated using Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(1/3))*Depth of Flow. To calculate Chezy Formula for Normal Depth of Channel given Slope of Dynamic Equation of GVF, you need Slope of Line (m), Bed Slope of Channel (S₀), Critical Depth of Weir (h_c) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Slope of Line, Bed Slope of Channel, Critical Depth of Weir & 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 Normal Depth?

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

Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow

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