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Slope of Channel given Discharge per Unit Channel Width Formula

GoSlope of Channel given Shear Stress Formula

GoBed Slope given Bed Shear Stress Formula

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The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields. Check FAQs

s = \frac{3 \cdot μ \cdot ν}{γ f \cdot {d section}^{3}}

s - Slope of Bed?μ - Dynamic Viscosity?ν - Kinematic Viscosity?γ_f - Specific Weight of Liquid?d_section - Diameter of Section?

Slope of Channel given Discharge per Unit Channel Width Example

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Here is how the Slope of Channel given Discharge per Unit Channel Width equation looks like with Values.

Here is how the Slope of Channel given Discharge per Unit Channel Width equation looks like with Units.

Here is how the Slope of Channel given Discharge per Unit Channel Width equation looks like.

0.01 = \frac{3 \cdot 10.2 \cdot 4}{9.81 \cdot 5^{3}}

0.01 = \frac{3 \cdot 10.2P \cdot 4m²/s}{9.81kN/m³ \cdot {5m}^{3}}

0.01 = \frac{3 \cdot 10.2 \cdot 4}{9.81 \cdot 5^{3}}

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Slope of Channel given Discharge per Unit Channel Width Solution

Follow our step by step solution on how to calculate Slope of Channel given Discharge per Unit Channel Width?

FIRST Step Consider the formula

s = \frac{3 \cdot μ \cdot ν}{γ f \cdot {d section}^{3}}

Next Step Substitute values of Variables

∴

s = \frac{3 \cdot 10.2P \cdot 4m²/s}{9.81kN/m³ \cdot {5m}^{3}}

Next Step Convert Units

∴

s = \frac{3 \cdot 1.02Pa*s \cdot 4m²/s}{9.81kN/m³ \cdot {5m}^{3}}

Next Step Prepare to Evaluate

∴

s = \frac{3 \cdot 1.02 \cdot 4}{9.81 \cdot 5^{3}}

Next Step Evaluate

∴

s = 0.00998165137614679

LAST Step Rounding Answer

∴

s = 0.01

Slope of Channel given Discharge per Unit Channel Width Formula Elements

Variables

Slope of Bed

The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope of Bed

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Kinematic Viscosity

The Kinematic Viscosity refers to the fluid’s internal resistance to flow under the influence of gravity.

Symbol: ν

Measurement: Kinematic ViscosityUnit: m²/s

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Diameter of Section

The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

Other Formulas to find Slope of Bed

Go Slope of Channel given Shear Stress

s = \frac{𝜏}{γ f \cdot (d section - R)}

Go Bed Slope given Bed Shear Stress

s = \frac{𝜏}{d section \cdot γ f}

Other formulas in Laminar Flow of Fluid in an Open Channel category

Go Mean Velocity of Flow in Section

V mean = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{μ}

Go Slope of Channel given Mean Velocity of Flow

S = \frac{μ \cdot V mean}{(d section \cdot R - \frac{R^{2}}{2}) \cdot γ f}

Go Diameter of Section given Mean Velocity of Flow

d section = \frac{(R^{2} + (μ \cdot V mean \cdot \frac{S}{γ f}))}{R}

Go Dynamic Viscosity given Mean Velocity of Flow in Section

μ = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{V mean}

How to Evaluate Slope of Channel given Discharge per Unit Channel Width?

Slope of Channel given Discharge per Unit Channel Width evaluator uses Slope of Bed = (3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^3) to evaluate the Slope of Bed, The Slope of Channel given Discharge per Unit Channel Width formula is defined as the rate at which head of the channel is changing with respect to horizontal line. Slope of Bed is denoted by s symbol.

How to evaluate Slope of Channel given Discharge per Unit Channel Width using this online evaluator? To use this online evaluator for Slope of Channel given Discharge per Unit Channel Width, enter Dynamic Viscosity (μ), Kinematic Viscosity (ν), Specific Weight of Liquid (γ_f) & Diameter of Section (d_section) and hit the calculate button.

FAQs on Slope of Channel given Discharge per Unit Channel Width

What is the formula to find Slope of Channel given Discharge per Unit Channel Width?

The formula of Slope of Channel given Discharge per Unit Channel Width is expressed as Slope of Bed = (3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^3). Here is an example- 2.5E-5 = (3*1.02*4)/(9810*5^3).

How to calculate Slope of Channel given Discharge per Unit Channel Width?

With Dynamic Viscosity (μ), Kinematic Viscosity (ν), Specific Weight of Liquid (γ_f) & Diameter of Section (d_section) we can find Slope of Channel given Discharge per Unit Channel Width using the formula - Slope of Bed = (3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^3).

What are the other ways to Calculate Slope of Bed?

Here are the different ways to Calculate Slope of Bed-

Slope of Bed=Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance))
Slope of Bed=Shear Stress/(Diameter of Section*Specific Weight of Liquid)

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Slope of Channel given Discharge per Unit Channel Width Formula

​GoSlope of Channel given Shear Stress Formula

​GoBed Slope given Bed Shear Stress Formula

Slope of Channel given Discharge per Unit Channel Width Example

Slope of Channel given Discharge per Unit Channel Width Solution

Slope of Channel given Discharge per Unit Channel Width Formula Elements

Other Formulas to find Slope of Bed

Other formulas in Laminar Flow of Fluid in an Open Channel category

How to Evaluate Slope of Channel given Discharge per Unit Channel Width?

FAQs on Slope of Channel given Discharge per Unit Channel Width

Variable Name

GoSlope of Channel given Shear Stress Formula

GoBed Slope given Bed Shear Stress Formula