Bed Slope 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%
✖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 [y]			+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%
✖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%

✖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 given Slope of Dynamic Equation of Gradually Varied Flow [S₀]

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

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3)))))
S₀ = m/(((1-((y/d_f)^(10/3)))/(1-((h_c/d_f)^(3)))))
This formula uses 5 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.
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.
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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Slope of Line: 4 --> No Conversion Required
Normal Depth: 1.5 Meter --> 1.5 Meter No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required
Critical Depth of Weir: 1.001 Meter --> 1.001 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S₀ = m/(((1-((y/d_f)^(10/3)))/(1-((h_c/d_f)^(3))))) --> 4/(((1-((1.5/3.3)^(10/3)))/(1-((1.001/3.3)^(3)))))

Evaluating ... ...

S₀ = 4.19098661876235

STEP 3: Convert Result to Output's Unit

4.19098661876235 --> No Conversion Required

FINAL ANSWER

4.19098661876235 ≈ 4.190987 <-- Bed Slope of Channel

(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))))

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

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)))))
S₀ = m/(((1-((y/d_f)^(10/3)))/(1-((h_c/d_f)^(3)))))

What is Bed Slope?

The Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering..

How to Calculate Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow calculator uses Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))) to calculate the Bed Slope of Channel, The Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as channel slope. Bed Slope of Channel is denoted by S₀ symbol.

How to calculate Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow using this online calculator? To use this online calculator for Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow, enter Slope of Line (m), Normal Depth (y), Depth of Flow (d_f) & Critical Depth of Weir (h_c) and hit the calculate button. Here is how the Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow calculation can be explained with given input values -> -0.098685 = 4/(((1-((1.5/3.3)^(10/3)))/(1-((1.001/3.3)^(3))))).

FAQ

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

The Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as channel slope and is represented as S₀ = m/(((1-((y/d_f)^(10/3)))/(1-((h_c/d_f)^(3))))) or Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))). 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, 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, 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 & The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

How to calculate Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow?

The Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow formula is defined as channel slope is calculated using Bed Slope of Channel = Slope of Line/(((1-((Normal Depth/Depth of Flow)^(10/3)))/(1-((Critical Depth of Weir/Depth of Flow)^(3))))). To calculate Bed Slope of Channel given Slope of Dynamic Equation of Gradually Varied Flow, you need Slope of Line (m), Normal Depth (y), Depth of Flow (d_f) & Critical Depth of Weir (h_c). With our tool, you need to enter the respective value for Slope of Line, Normal Depth, Depth of Flow & Critical Depth of Weir 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 Slope of Line, Normal Depth, Depth of Flow & Critical Depth of Weir. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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