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Mean Velocity of Flow in Section Formula

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

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

V_mean - Mean Velocity?γ_f - Specific Weight of Liquid?dh|dx - Piezometric Gradient?d_section - Diameter of Section?R - Horizontal Distance?μ - Dynamic Viscosity?

Mean Velocity of Flow in Section Example

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

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

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

10.0112 = \frac{9.81 \cdot 0.2583 \cdot (5 \cdot 1.01 - {1.01}^{2})}{10.2}

10.0112m/s = \frac{9.81kN/m³ \cdot 0.2583 \cdot (5m \cdot 1.01m - {1.01m}^{2})}{10.2P}

10.0112 = \frac{9.81 \cdot 0.2583 \cdot (5 \cdot 1.01 - {1.01}^{2})}{10.2}

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Mean Velocity of Flow in Section Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V mean = \frac{9.81kN/m³ \cdot 0.2583 \cdot (5m \cdot 1.01m - {1.01m}^{2})}{10.2P}

Next Step Convert Units

∴

V mean = \frac{9.81kN/m³ \cdot 0.2583 \cdot (5m \cdot 1.01m - {1.01m}^{2})}{1.02Pa*s}

Next Step Prepare to Evaluate

∴

V mean = \frac{9.81 \cdot 0.2583 \cdot (5 \cdot 1.01 - {1.01}^{2})}{1.02}

Next Step Evaluate

∴

V mean = 10.0112316644118m/s

LAST Step Rounding Answer

∴

V mean = 10.0112m/s

Mean Velocity of Flow in Section Formula Elements

Variables

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

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

Piezometric Gradient

The Piezometric Gradient refers to the variation of piezometric head with respect to distance in along the pipe length.

Symbol: dh|dx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Piezometric Gradient

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

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

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}

Go Discharge per unit channel width

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

How to Evaluate Mean Velocity of Flow in Section?

Mean Velocity of Flow in Section evaluator uses Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity to evaluate the Mean Velocity, The Mean Velocity of Flow in Section formula is defined as the average velocity in the channel with a bed slope inclined at a particular angle from horizontal. Mean Velocity is denoted by V_mean symbol.

How to evaluate Mean Velocity of Flow in Section using this online evaluator? To use this online evaluator for Mean Velocity of Flow in Section, enter Specific Weight of Liquid (γ_f), Piezometric Gradient (dh|dx), Diameter of Section (d_section), Horizontal Distance (R) & Dynamic Viscosity (μ) and hit the calculate button.

FAQs on Mean Velocity of Flow in Section

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

The formula of Mean Velocity of Flow in Section is expressed as Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity. Here is an example- 10011.23 = (9810*0.2583*(5*1.01-1.01^2))/1.02.

How to calculate Mean Velocity of Flow in Section?

With Specific Weight of Liquid (γ_f), Piezometric Gradient (dh|dx), Diameter of Section (d_section), Horizontal Distance (R) & Dynamic Viscosity (μ) we can find Mean Velocity of Flow in Section using the formula - Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity.

Can the Mean Velocity of Flow in Section be negative?

Yes, the Mean Velocity of Flow in Section, measured in Speed can be negative.

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

Mean Velocity of Flow in Section is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Mean Velocity of Flow in Section can be measured.

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Mean Velocity of Flow in Section Formula

Mean Velocity of Flow in Section Example

Mean Velocity of Flow in Section Solution

Mean Velocity of Flow in Section Formula Elements

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

How to Evaluate Mean Velocity of Flow in Section?

FAQs on Mean Velocity of Flow in Section

Variable Name