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Mean Velocity of Flow given Pressure Drop over Length of Pipe Formula

GoMean Velocity of Flow given Head Loss over Length of Pipe 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{ΔP}{32 \cdot μ \cdot \frac{L p}{{D pipe}^{2}}}

V_mean - Mean Velocity?ΔP - Pressure Difference?μ - Dynamic Viscosity?L_p - Length of Pipe?D_pipe - Diameter of Pipe?

Mean Velocity of Flow given Pressure Drop over Length of Pipe Example

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Here is how the Mean Velocity of Flow given Pressure Drop over Length of Pipe equation looks like with Values.

Here is how the Mean Velocity of Flow given Pressure Drop over Length of Pipe equation looks like with Units.

Here is how the Mean Velocity of Flow given Pressure Drop over Length of Pipe equation looks like.

28.1278 = \frac{90}{32 \cdot 10.2 \cdot \frac{0.1}{{1.01}^{2}}}

28.1278m/s = \frac{90N/m²}{32 \cdot 10.2P \cdot \frac{0.1m}{{1.01m}^{2}}}

28.1278 = \frac{90}{32 \cdot 10.2 \cdot \frac{0.1}{{1.01}^{2}}}

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Mean Velocity of Flow given Pressure Drop over Length of Pipe Solution

Follow our step by step solution on how to calculate Mean Velocity of Flow given Pressure Drop over Length of Pipe?

FIRST Step Consider the formula

V mean = \frac{ΔP}{32 \cdot μ \cdot \frac{L p}{{D pipe}^{2}}}

Next Step Substitute values of Variables

∴

V mean = \frac{90N/m²}{32 \cdot 10.2P \cdot \frac{0.1m}{{1.01m}^{2}}}

Next Step Convert Units

∴

V mean = \frac{90Pa}{32 \cdot 1.02Pa*s \cdot \frac{0.1m}{{1.01m}^{2}}}

Next Step Prepare to Evaluate

∴

V mean = \frac{90}{32 \cdot 1.02 \cdot \frac{0.1}{{1.01}^{2}}}

Next Step Evaluate

∴

V mean = 28.1277573529412m/s

LAST Step Rounding Answer

∴

V mean = 28.1278m/s

Mean Velocity of Flow given Pressure Drop over Length of Pipe 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

Pressure Difference

The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.

Symbol: ΔP

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Pressure Difference

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

Length of Pipe

The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Diameter of Pipe

The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Other Formulas to find Mean Velocity

Go Mean Velocity of Flow given Head Loss over Length of Pipe

V mean = \frac{h}{\frac{32 \cdot μ \cdot L p}{γ f \cdot {D pipe}^{2}}}

Other formulas in Hagen Poiseuille Equation category

Go Pressure drop over length of pipe

ΔP = (32 \cdot μ \cdot V mean \cdot \frac{L p}{{D pipe}^{2}})

Go Diameter of Pipe given Pressure Drop over Length of Pipe

D pipe = \sqrt{\frac{32 \cdot μ \cdot V mean \cdot L p}{ΔP}}

Go Length of Pipe given Pressure Drop over Length of Pipe

L p = \frac{ΔP \cdot {D pipe}^{2}}{32 \cdot μ \cdot V mean}

Go Dynamic Viscosity given Pressure Drop over Length of Pipe

μ = \frac{ΔP \cdot ({D pipe}^{2})}{32 \cdot L p \cdot V mean}

How to Evaluate Mean Velocity of Flow given Pressure Drop over Length of Pipe?

Mean Velocity of Flow given Pressure Drop over Length of Pipe evaluator uses Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2)) to evaluate the Mean Velocity, The Mean Velocity of Flow given Pressure Drop over Length of Pipe is defined as average velocity of stream in pipe. Mean Velocity is denoted by V_mean symbol.

How to evaluate Mean Velocity of Flow given Pressure Drop over Length of Pipe using this online evaluator? To use this online evaluator for Mean Velocity of Flow given Pressure Drop over Length of Pipe, enter Pressure Difference (ΔP), Dynamic Viscosity (μ), Length of Pipe (L_p) & Diameter of Pipe (D_pipe) and hit the calculate button.

FAQs on Mean Velocity of Flow given Pressure Drop over Length of Pipe

What is the formula to find Mean Velocity of Flow given Pressure Drop over Length of Pipe?

The formula of Mean Velocity of Flow given Pressure Drop over Length of Pipe is expressed as Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2)). Here is an example- 28.12776 = 90/(32*1.02*0.1/(1.01^2)).

How to calculate Mean Velocity of Flow given Pressure Drop over Length of Pipe?

With Pressure Difference (ΔP), Dynamic Viscosity (μ), Length of Pipe (L_p) & Diameter of Pipe (D_pipe) we can find Mean Velocity of Flow given Pressure Drop over Length of Pipe using the formula - Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2)).

What are the other ways to Calculate Mean Velocity?

Here are the different ways to Calculate Mean Velocity-

Mean Velocity=Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))

Can the Mean Velocity of Flow given Pressure Drop over Length of Pipe be negative?

Yes, the Mean Velocity of Flow given Pressure Drop over Length of Pipe, measured in Speed can be negative.

Which unit is used to measure Mean Velocity of Flow given Pressure Drop over Length of Pipe?

Mean Velocity of Flow given Pressure Drop over Length of Pipe 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 given Pressure Drop over Length of Pipe can be measured.

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Mean Velocity of Flow given Pressure Drop over Length of Pipe Formula

​GoMean Velocity of Flow given Head Loss over Length of Pipe Formula

Mean Velocity of Flow given Pressure Drop over Length of Pipe Example

Mean Velocity of Flow given Pressure Drop over Length of Pipe Solution

Mean Velocity of Flow given Pressure Drop over Length of Pipe Formula Elements

Other Formulas to find Mean Velocity

Other formulas in Hagen Poiseuille Equation category

How to Evaluate Mean Velocity of Flow given Pressure Drop over Length of Pipe?

FAQs on Mean Velocity of Flow given Pressure Drop over Length of Pipe

Variable Name

GoMean Velocity of Flow given Head Loss over Length of Pipe Formula