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Mean Velocity of Fluid Flow Formula

GoMean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element Formula

GoMean Velocity of Flow given Head Loss due to Frictional Resistance Formula

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The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel. Check FAQs

V mean = (\frac{1}{8 \cdot μ}) \cdot dp|dr \cdot R^{2}

V_mean - Mean Velocity?μ - Dynamic Viscosity?dp|dr - Pressure Gradient?R - Radius of pipe?

Mean Velocity of Fluid Flow Example

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

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

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

8.3333 = (\frac{1}{8 \cdot 10.2}) \cdot 17 \cdot 2^{2}

8.3333m/s = (\frac{1}{8 \cdot 10.2P}) \cdot 17N/m³ \cdot {2m}^{2}

8.3333 = (\frac{1}{8 \cdot 10.2}) \cdot 17 \cdot 2^{2}

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Mean Velocity of Fluid Flow Solution

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

FIRST Step Consider the formula

V mean = (\frac{1}{8 \cdot μ}) \cdot dp|dr \cdot R^{2}

Next Step Substitute values of Variables

∴

V mean = (\frac{1}{8 \cdot 10.2P}) \cdot 17N/m³ \cdot {2m}^{2}

Next Step Convert Units

∴

V mean = (\frac{1}{8 \cdot 1.02Pa*s}) \cdot 17N/m³ \cdot {2m}^{2}

Next Step Prepare to Evaluate

∴

V mean = (\frac{1}{8 \cdot 1.02}) \cdot 17 \cdot 2^{2}

Next Step Evaluate

∴

V mean = 8.33333333333333m/s

LAST Step Rounding Answer

∴

V mean = 8.3333m/s

Mean Velocity of Fluid Flow Formula Elements

Variables

Mean Velocity

The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

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

Pressure Gradient

The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Radius of pipe

The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of pipe

Other Formulas to find Mean Velocity

Go Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element

V mean = 0.5 \cdot V max

Go Mean Velocity of Flow given Head Loss due to Frictional Resistance

V mean = \sqrt{\frac{h \cdot 2 \cdot [g] \cdot D pipe}{f \cdot L p}}

Go Mean Velocity of Flow given Friction Factor

V mean = \frac{64 \cdot μ}{f \cdot ρ Fluid \cdot D pipe}

Go Mean Velocity of Flow given Shear Stress and Density

V mean = \sqrt{\frac{8 \cdot 𝜏}{ρ Fluid \cdot f}}

How to Evaluate Mean Velocity of Fluid Flow?

Mean Velocity of Fluid Flow evaluator uses Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2 to evaluate the Mean Velocity, The Mean Velocity of Fluid Flow is defined as average velocity of stream flowing the pipe measured over the entire length. Mean Velocity is denoted by V_mean symbol.

How to evaluate Mean Velocity of Fluid Flow using this online evaluator? To use this online evaluator for Mean Velocity of Fluid Flow, enter Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radius of pipe (R) and hit the calculate button.

FAQs on Mean Velocity of Fluid Flow

What is the formula to find Mean Velocity of Fluid Flow?

The formula of Mean Velocity of Fluid Flow is expressed as Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2. Here is an example- 0.039675 = (1/(8*1.02))*17*2^2.

How to calculate Mean Velocity of Fluid Flow?

With Dynamic Viscosity (μ), Pressure Gradient (dp|dr) & Radius of pipe (R) we can find Mean Velocity of Fluid Flow using the formula - Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Radius of pipe^2.

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

Mean Velocity=0.5*Maximum Velocity
Mean Velocity=sqrt((Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Length of Pipe))
Mean Velocity=(64*Dynamic Viscosity)/(Darcy Friction Factor*Density of Fluid*Diameter of Pipe)

Can the Mean Velocity of Fluid Flow be negative?

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

Which unit is used to measure Mean Velocity of Fluid Flow?

Mean Velocity of Fluid Flow 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 Fluid Flow can be measured.

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Mean Velocity of Fluid Flow Formula

​GoMean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element Formula

​GoMean Velocity of Flow given Head Loss due to Frictional Resistance Formula

Mean Velocity of Fluid Flow Example

Mean Velocity of Fluid Flow Solution

Mean Velocity of Fluid Flow Formula Elements

Other Formulas to find Mean Velocity

How to Evaluate Mean Velocity of Fluid Flow?

FAQs on Mean Velocity of Fluid Flow

Variable Name

GoMean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element Formula

GoMean Velocity of Flow given Head Loss due to Frictional Resistance Formula