Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow 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.ⓘ Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow [y]

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Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow 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)))))))^(3/10))*Depth of Flow
y = ((1-((m/S₀)*((1-(((h_c/d_f)^(3)))))))^(3/10))*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)))))))^(3/10))*d_f --> ((1-((4/4.001)*((1-(((1.001/3.3)^(3)))))))^(3/10))*3.3

Evaluating ... ...

y = 1.13076234642454

STEP 3: Convert Result to Output's Unit

1.13076234642454 Meter --> No Conversion Required

FINAL ANSWER

1.13076234642454 ≈ 1.130762 Meter <-- Normal Depth

(Calculation completed in 00.004 seconds)

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< Wide Rectangular Channel Calculators

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

LaTeX 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

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

LaTeX 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

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

LaTeX 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)))))

Slope of Dynamic Equations of Gradually Varied Flow

LaTeX 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))))

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

LaTeX 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
y = ((1-((m/S₀)*((1-(((h_c/d_f)^(3)))))))^(3/10))*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 Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow calculator uses Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow to calculate the Normal Depth, The Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as depth corresponding to particular energy in system. Normal Depth is denoted by y symbol.

How to calculate Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow using this online calculator? To use this online calculator for Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow, 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 Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow calculation can be explained with given input values -> 1.130762 = ((1-((4/4.001)*((1-(((1.001/3.3)^(3)))))))^(3/10))*3.3.

FAQ

What is Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

The Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as depth corresponding to particular energy in system and is represented as y = ((1-((m/S₀)*((1-(((h_c/d_f)^(3)))))))^(3/10))*d_f or Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*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 Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

The Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as depth corresponding to particular energy in system is calculated using Normal Depth = ((1-((Slope of Line/Bed Slope of Channel)*((1-(((Critical Depth of Weir/Depth of Flow)^(3)))))))^(3/10))*Depth of Flow. To calculate Normal Depth of Channel given Slope of Dynamic Equation of Gradually Varied Flow, 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)))))))^(1/3))*Depth of Flow

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