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Diameter of Section given Discharge per Unit Channel Width Formula

GoDiameter of Section given Mean Velocity of Flow Formula

GoDiameter of Section given Potential Head Drop 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{3 \cdot μ \cdot ν}{s \cdot γ f})}^{\frac{1}{3}}

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

Diameter of Section given Discharge per Unit Channel Width Example

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

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

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

4.9969 = {(\frac{3 \cdot 10.2 \cdot 4}{0.01 \cdot 9.81})}^{\frac{1}{3}}

4.9969m = {(\frac{3 \cdot 10.2P \cdot 4m²/s}{0.01 \cdot 9.81kN/m³})}^{\frac{1}{3}}

4.9969 = {(\frac{3 \cdot 10.2 \cdot 4}{0.01 \cdot 9.81})}^{\frac{1}{3}}

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Diameter of Section given Discharge per Unit Channel Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d section = {(\frac{3 \cdot 10.2P \cdot 4m²/s}{0.01 \cdot 9.81kN/m³})}^{\frac{1}{3}}

Next Step Convert Units

∴

d section = {(\frac{3 \cdot 1.02Pa*s \cdot 4m²/s}{0.01 \cdot 9.81kN/m³})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d section = {(\frac{3 \cdot 1.02 \cdot 4}{0.01 \cdot 9.81})}^{\frac{1}{3}}

Next Step Evaluate

∴

d section = 4.99694002371552m

LAST Step Rounding Answer

∴

d section = 4.9969m

Diameter of Section given Discharge per Unit Channel Width 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

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

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 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

Go Diameter of Section given Bed Shear Stress

d section = \frac{𝜏}{s \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 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 Discharge per Unit Channel Width?

Diameter of Section given Discharge per Unit Channel Width evaluator uses Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3) to evaluate the Diameter of Section, The Diameter of Section given Discharge per Unit Channel Width is defined as the width of overall section or channel. Diameter of Section is denoted by d_section symbol.

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

FAQs on Diameter of Section given Discharge per Unit Channel Width

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

The formula of Diameter of Section given Discharge per Unit Channel Width is expressed as Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3). Here is an example- 6.786409 = ((3*1.02*4)/(0.01*9810))^(1/3).

How to calculate Diameter of Section given Discharge per Unit Channel Width?

With Dynamic Viscosity (μ), Kinematic Viscosity (ν), Slope of Bed (s) & Specific Weight of Liquid (γ_f) we can find Diameter of Section given Discharge per Unit Channel Width using the formula - Diameter of Section = ((3*Dynamic Viscosity*Kinematic Viscosity)/(Slope of Bed*Specific Weight of Liquid))^(1/3).

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=sqrt((3*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
Diameter of Section=(Shear Stress/(Slope of Bed*Specific Weight of Liquid))+Horizontal Distance

Can the Diameter of Section given Discharge per Unit Channel Width be negative?

No, the Diameter of Section given Discharge per Unit Channel Width, measured in Length cannot be negative.

Which unit is used to measure Diameter of Section given Discharge per Unit Channel Width?

Diameter of Section given Discharge per Unit Channel Width 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 Discharge per Unit Channel Width can be measured.

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Diameter of Section given Discharge per Unit Channel Width Formula

​GoDiameter of Section given Mean Velocity of Flow Formula

​GoDiameter of Section given Potential Head Drop Formula

Diameter of Section given Discharge per Unit Channel Width Example

Diameter of Section given Discharge per Unit Channel Width Solution

Diameter of Section given Discharge per Unit Channel Width 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 Discharge per Unit Channel Width?

FAQs on Diameter of Section given Discharge per Unit Channel Width

Variable Name

GoDiameter of Section given Mean Velocity of Flow Formula

GoDiameter of Section given Potential Head Drop Formula