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Diameter of Section given Bed Shear Stress Formula

GoDiameter of Section given Mean Velocity of Flow Formula

GoDiameter of Section given Discharge per Unit Channel Width Formula

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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. Check FAQs

d section = \frac{𝜏}{s \cdot γ f}

d_section - Diameter of Section?𝜏 - Shear Stress?s - Slope of Bed?γ_f - Specific Weight of Liquid?

Diameter of Section given Bed Shear Stress Example

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Here is how the Diameter of Section given Bed Shear Stress equation looks like with Values.

Here is how the Diameter of Section given Bed Shear Stress equation looks like with Units.

Here is how the Diameter of Section given Bed Shear Stress equation looks like.

5 = \frac{490.5}{0.01 \cdot 9.81}

5m = \frac{490.5Pa}{0.01 \cdot 9.81kN/m³}

5 = \frac{490.5}{0.01 \cdot 9.81}

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Diameter of Section given Bed Shear Stress Solution

Follow our step by step solution on how to calculate Diameter of Section given Bed Shear Stress?

FIRST Step Consider the formula

d section = \frac{𝜏}{s \cdot γ f}

Next Step Substitute values of Variables

∴

d section = \frac{490.5Pa}{0.01 \cdot 9.81kN/m³}

Next Step Convert Units

∴

d section = \frac{490.5Pa}{0.01 \cdot 9810N/m³}

Next Step Prepare to Evaluate

∴

d section = \frac{490.5}{0.01 \cdot 9810}

LAST Step Evaluate

∴

d section = 5m

Diameter of Section given Bed Shear Stress Formula Elements

Variables

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

Shear Stress

The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

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

Other Formulas to find Diameter of Section

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 Diameter of Section given Discharge per Unit Channel Width

d section = {(\frac{3 \cdot μ \cdot ν}{s \cdot γ f})}^{\frac{1}{3}}

Go Diameter of Section given Potential Head Drop

d section = \sqrt{\frac{3 \cdot μ \cdot V mean \cdot L}{γ f \cdot h L}}

Go Diameter of Section given Slope of Channel

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

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 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}

Go Discharge per unit channel width

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

How to Evaluate Diameter of Section given Bed Shear Stress?

Diameter of Section given Bed Shear Stress evaluator uses Diameter of Section = Shear Stress/(Slope of Bed*Specific Weight of Liquid) to evaluate the Diameter of Section, The Diameter of Section given Bed Shear Stress formula is defined as the total depth of sectional part in the flow from the center of line. Diameter of Section is denoted by d_section symbol.

How to evaluate Diameter of Section given Bed Shear Stress using this online evaluator? To use this online evaluator for Diameter of Section given Bed Shear Stress, enter Shear Stress (𝜏), Slope of Bed (s) & Specific Weight of Liquid (γ_f) and hit the calculate button.

FAQs on Diameter of Section given Bed Shear Stress

What is the formula to find Diameter of Section given Bed Shear Stress?

The formula of Diameter of Section given Bed Shear Stress is expressed as Diameter of Section = Shear Stress/(Slope of Bed*Specific Weight of Liquid). Here is an example- 5 = 490.5/(0.01*9810).

How to calculate Diameter of Section given Bed Shear Stress?

With Shear Stress (𝜏), Slope of Bed (s) & Specific Weight of Liquid (γ_f) we can find Diameter of Section given Bed Shear Stress using the formula - Diameter of Section = Shear Stress/(Slope of Bed*Specific Weight of Liquid).

What are the other ways to Calculate Diameter of Section?

Here are the different ways to Calculate Diameter of Section-

Diameter of Section=((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance
Diameter of Section=((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3)
Diameter of Section=sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))

Can the Diameter of Section given Bed Shear Stress be negative?

No, the Diameter of Section given Bed Shear Stress, measured in Length cannot be negative.

Which unit is used to measure Diameter of Section given Bed Shear Stress?

Diameter of Section given Bed Shear Stress is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Section given Bed Shear Stress can be measured.

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Diameter of Section given Bed Shear Stress Formula

​GoDiameter of Section given Mean Velocity of Flow Formula

​GoDiameter of Section given Discharge per Unit Channel Width Formula

Diameter of Section given Bed Shear Stress Example

Diameter of Section given Bed Shear Stress Solution

Diameter of Section given Bed Shear Stress Formula Elements

Other Formulas to find Diameter of Section

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

How to Evaluate Diameter of Section given Bed Shear Stress?

FAQs on Diameter of Section given Bed Shear Stress

Variable Name

GoDiameter of Section given Mean Velocity of Flow Formula

GoDiameter of Section given Discharge per Unit Channel Width Formula