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Length of Pipe given Pressure Difference Formula

GoLength of Pipe given Pressure Head Drop Formula

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

L p = \frac{ΔP \cdot w \cdot w}{μ \cdot 12 \cdot V mean}

L_p - Length of Pipe?ΔP - Pressure Difference?w - Width?μ - Dynamic Viscosity?V_mean - Mean Velocity?

Length of Pipe given Pressure Difference Example

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Here is how the Length of Pipe given Pressure Difference equation looks like with Values.

Here is how the Length of Pipe given Pressure Difference equation looks like with Units.

Here is how the Length of Pipe given Pressure Difference equation looks like.

0.3018 = \frac{13.3 \cdot 3 \cdot 3}{10.2 \cdot 12 \cdot 32.4}

0.3018m = \frac{13.3N/m² \cdot 3m \cdot 3m}{10.2P \cdot 12 \cdot 32.4m/s}

0.3018 = \frac{13.3 \cdot 3 \cdot 3}{10.2 \cdot 12 \cdot 32.4}

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Length of Pipe given Pressure Difference Solution

Follow our step by step solution on how to calculate Length of Pipe given Pressure Difference?

FIRST Step Consider the formula

L p = \frac{ΔP \cdot w \cdot w}{μ \cdot 12 \cdot V mean}

Next Step Substitute values of Variables

∴

L p = \frac{13.3N/m² \cdot 3m \cdot 3m}{10.2P \cdot 12 \cdot 32.4m/s}

Next Step Convert Units

∴

L p = \frac{13.3Pa \cdot 3m \cdot 3m}{1.02Pa*s \cdot 12 \cdot 32.4m/s}

Next Step Prepare to Evaluate

∴

L p = \frac{13.3 \cdot 3 \cdot 3}{1.02 \cdot 12 \cdot 32.4}

Next Step Evaluate

∴

L p = 0.30183369644154m

LAST Step Rounding Answer

∴

L p = 0.3018m

Length of Pipe given Pressure Difference Formula Elements

Variables

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

Pressure Difference

Pressure Difference is the difference in pressure intensities at two different points in a liquid.

Symbol: ΔP

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Pressure Difference

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

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

Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.

Symbol: V_mean

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity

Other Formulas to find Length of Pipe

Go Length of Pipe given Pressure Head Drop

L p = \frac{γ f \cdot w \cdot w \cdot h location}{12 \cdot μ \cdot V mean}

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

Go Velocity Distribution Profile

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

Go Distance between Plates using Velocity Distribution Profile

w = \frac{(\frac{- v \cdot 2 \cdot μ}{dp|dr}) + (R^{2})}{R}

Go Maximum Velocity between Plates

V max = \frac{(w^{2}) \cdot dp|dr}{8 \cdot μ}

Go Distance between Plates given Maximum Velocity between Plates

w = \sqrt{\frac{8 \cdot μ \cdot V max}{dp|dr}}

How to Evaluate Length of Pipe given Pressure Difference?

Length of Pipe given Pressure Difference evaluator uses Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity) to evaluate the Length of Pipe, The Length of Pipe given Pressure Difference is defined as the total flow length in the pipe of stream under laminar flow. Length of Pipe is denoted by L_p symbol.

How to evaluate Length of Pipe given Pressure Difference using this online evaluator? To use this online evaluator for Length of Pipe given Pressure Difference, enter Pressure Difference (ΔP), Width (w), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button.

FAQs on Length of Pipe given Pressure Difference

What is the formula to find Length of Pipe given Pressure Difference?

The formula of Length of Pipe given Pressure Difference is expressed as Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity). Here is an example- 0.301834 = (13.3*3*3)/(1.02*12*32.4).

How to calculate Length of Pipe given Pressure Difference?

With Pressure Difference (ΔP), Width (w), Dynamic Viscosity (μ) & Mean Velocity (V_mean) we can find Length of Pipe given Pressure Difference using the formula - Length of Pipe = (Pressure Difference*Width*Width)/(Dynamic Viscosity*12*Mean Velocity).

What are the other ways to Calculate Length of Pipe?

Here are the different ways to Calculate Length of Pipe-

Length of Pipe=(Specific Weight of Liquid*Width*Width*Head Loss due to Friction)/(12*Dynamic Viscosity*Mean Velocity)

Can the Length of Pipe given Pressure Difference be negative?

Yes, the Length of Pipe given Pressure Difference, measured in Length can be negative.

Which unit is used to measure Length of Pipe given Pressure Difference?

Length of Pipe given Pressure Difference is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Pipe given Pressure Difference can be measured.

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Length of Pipe given Pressure Difference Formula

​GoLength of Pipe given Pressure Head Drop Formula

Length of Pipe given Pressure Difference Example

Length of Pipe given Pressure Difference Solution

Length of Pipe given Pressure Difference Formula Elements

Other Formulas to find Length of Pipe

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

How to Evaluate Length of Pipe given Pressure Difference?

FAQs on Length of Pipe given Pressure Difference

Variable Name

GoLength of Pipe given Pressure Head Drop Formula