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Diameter of Section given Mean Velocity of Flow Formula

GoDiameter of Section given Discharge per Unit Channel Width 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{(R^{2} + (μ \cdot V mean \cdot \frac{S}{γ f}))}{R}

d_section - Diameter of Section?R - Horizontal Distance?μ - Dynamic Viscosity?V_mean - Mean Velocity?S - Slope of Surface of Constant Pressure?γ_f - Specific Weight of Liquid?

Diameter of Section given Mean Velocity of Flow Example

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Here is how the Diameter of Section given Mean Velocity of Flow equation looks like with Values.

Here is how the Diameter of Section given Mean Velocity of Flow equation looks like with Units.

Here is how the Diameter of Section given Mean Velocity of Flow equation looks like.

11.3046 = \frac{({1.01}^{2} + (10.2 \cdot 10 \cdot \frac{10}{9.81}))}{1.01}

11.3046m = \frac{({1.01m}^{2} + (10.2P \cdot 10m/s \cdot \frac{10}{9.81kN/m³}))}{1.01m}

11.3046 = \frac{({1.01}^{2} + (10.2 \cdot 10 \cdot \frac{10}{9.81}))}{1.01}

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Diameter of Section given Mean Velocity of Flow Solution

Follow our step by step solution on how to calculate Diameter of Section given Mean Velocity of Flow?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d section = \frac{({1.01m}^{2} + (10.2P \cdot 10m/s \cdot \frac{10}{9.81kN/m³}))}{1.01m}

Next Step Convert Units

∴

d section = \frac{({1.01m}^{2} + (1.02Pa*s \cdot 10m/s \cdot \frac{10}{9.81kN/m³}))}{1.01m}

Next Step Prepare to Evaluate

∴

d section = \frac{({1.01}^{2} + (1.02 \cdot 10 \cdot \frac{10}{9.81}))}{1.01}

Next Step Evaluate

∴

d section = 11.3046074423956m

LAST Step Rounding Answer

∴

d section = 11.3046m

Diameter of Section given Mean Velocity of Flow 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

Horizontal Distance

The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance

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

Mean Velocity

The Mean Velocity refers to the average rate at which an object or fluid moves over a given time interval.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Slope of Surface of Constant Pressure

The Slope of Surface of Constant Pressure refers to the slope at which free surface is inclined with horizontal.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of Surface of Constant Pressure

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 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

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 Mean Velocity of Flow?

Diameter of Section given Mean Velocity of Flow evaluator uses Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance to evaluate the Diameter of Section, The Diameter of Section given Mean Velocity of Flow is defined as the sectional area of the channel or depth of flow in the channel. Diameter of Section is denoted by d_section symbol.

How to evaluate Diameter of Section given Mean Velocity of Flow using this online evaluator? To use this online evaluator for Diameter of Section given Mean Velocity of Flow, enter Horizontal Distance (R), Dynamic Viscosity (μ), Mean Velocity (V_mean), Slope of Surface of Constant Pressure (S) & Specific Weight of Liquid (γ_f) and hit the calculate button.

FAQs on Diameter of Section given Mean Velocity of Flow

What is the formula to find Diameter of Section given Mean Velocity of Flow?

The formula of Diameter of Section given Mean Velocity of Flow is expressed as Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance. Here is an example- 1.020295 = ((1.01^2+(1.02*10*10/9810)))/1.01.

How to calculate Diameter of Section given Mean Velocity of Flow?

With Horizontal Distance (R), Dynamic Viscosity (μ), Mean Velocity (V_mean), Slope of Surface of Constant Pressure (S) & Specific Weight of Liquid (γ_f) we can find Diameter of Section given Mean Velocity of Flow using the formula - Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance.

What are the other ways to Calculate Diameter of Section?

Here are the different ways to Calculate Diameter of Section-

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

Can the Diameter of Section given Mean Velocity of Flow be negative?

No, the Diameter of Section given Mean Velocity of Flow, measured in Length cannot be negative.

Which unit is used to measure Diameter of Section given Mean Velocity of Flow?

Diameter of Section given Mean Velocity of Flow 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 Mean Velocity of Flow can be measured.

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Diameter of Section given Mean Velocity of Flow Formula

​GoDiameter of Section given Discharge per Unit Channel Width Formula

​GoDiameter of Section given Potential Head Drop Formula

Diameter of Section given Mean Velocity of Flow Example

Diameter of Section given Mean Velocity of Flow Solution

Diameter of Section given Mean Velocity of Flow 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 Mean Velocity of Flow?

FAQs on Diameter of Section given Mean Velocity of Flow

Variable Name

GoDiameter of Section given Discharge per Unit Channel Width Formula

GoDiameter of Section given Potential Head Drop Formula