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Length of Pipe given Pressure Drop over Length of Pipe with Discharge Formula

GoLength of Pipe given Pressure Drop over Length of Pipe Formula

GoLength of Pipe given Head Loss over Length of Pipe 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{π \cdot ΔP \cdot {D pipe}^{4}}{128 \cdot μ \cdot Q}

L_p - Length of Pipe?ΔP - Pressure Difference?D_pipe - Diameter of Pipe?μ - Dynamic Viscosity?Q - Discharge in Pipe?π - Archimedes' constant?

Length of Pipe given Pressure Drop over Length of Pipe with Discharge Example

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

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

Here is how the Length of Pipe given Pressure Drop over Length of Pipe with Discharge equation looks like.

2.2536 = \frac{3.1416 \cdot 90 \cdot {1.01}^{4}}{128 \cdot 10.2 \cdot 1}

2.2536m = \frac{3.1416 \cdot 90N/m² \cdot {1.01m}^{4}}{128 \cdot 10.2P \cdot 1m³/s}

2.2536 = \frac{3.1416 \cdot 90 \cdot {1.01}^{4}}{128 \cdot 10.2 \cdot 1}

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Length of Pipe given Pressure Drop over Length of Pipe with Discharge Solution

Follow our step by step solution on how to calculate Length of Pipe given Pressure Drop over Length of Pipe with Discharge?

FIRST Step Consider the formula

L p = \frac{π \cdot ΔP \cdot {D pipe}^{4}}{128 \cdot μ \cdot Q}

Next Step Substitute values of Variables

∴

L p = \frac{π \cdot 90N/m² \cdot {1.01m}^{4}}{128 \cdot 10.2P \cdot 1m³/s}

Next Step Substitute values of Constants

∴

L p = \frac{3.1416 \cdot 90N/m² \cdot {1.01m}^{4}}{128 \cdot 10.2P \cdot 1m³/s}

Next Step Convert Units

∴

L p = \frac{3.1416 \cdot 90Pa \cdot {1.01m}^{4}}{128 \cdot 1.02Pa*s \cdot 1m³/s}

Next Step Prepare to Evaluate

∴

L p = \frac{3.1416 \cdot 90 \cdot {1.01}^{4}}{128 \cdot 1.02 \cdot 1}

Next Step Evaluate

∴

L p = 2.253550535819m

LAST Step Rounding Answer

∴

L p = 2.2536m

Length of Pipe given Pressure Drop over Length of Pipe with Discharge Formula Elements

Variables

Constants

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

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

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

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

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Length of Pipe

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 Length of Pipe given Head Loss over Length of Pipe

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

Go Length of Pipe given Head Loss over Length of Pipe with Discharge

L p = \frac{h}{\frac{128 \cdot μ \cdot Q}{π \cdot γ f \cdot {D pipe}^{4}}}

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 Mean Velocity of Flow given Pressure Drop over Length of Pipe

V mean = \frac{ΔP}{32 \cdot μ \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 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 Length of Pipe given Pressure Drop over Length of Pipe with Discharge?

Length of Pipe given Pressure Drop over Length of Pipe with Discharge evaluator uses Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe) to evaluate the Length of Pipe, The Length of Pipe given Pressure Drop over Length of Pipe with Discharge is defined as total length of stream flow. Length of Pipe is denoted by L_p symbol.

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

FAQs on Length of Pipe given Pressure Drop over Length of Pipe with Discharge

What is the formula to find Length of Pipe given Pressure Drop over Length of Pipe with Discharge?

The formula of Length of Pipe given Pressure Drop over Length of Pipe with Discharge is expressed as Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe). Here is an example- 2.253551 = (pi*90*1.01^4)/(128*1.02*1.000001).

How to calculate Length of Pipe given Pressure Drop over Length of Pipe with Discharge?

With Pressure Difference (ΔP), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ) & Discharge in Pipe (Q) we can find Length of Pipe given Pressure Drop over Length of Pipe with Discharge using the formula - Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe). This formula also uses Archimedes' constant .

What are the other ways to Calculate Length of Pipe?

Here are the different ways to Calculate Length of Pipe-

Length of Pipe=(Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
Length of Pipe=Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))
Length of Pipe=Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))

Can the Length of Pipe given Pressure Drop over Length of Pipe with Discharge be negative?

Yes, the Length of Pipe given Pressure Drop over Length of Pipe with Discharge, measured in Length can be negative.

Which unit is used to measure Length of Pipe given Pressure Drop over Length of Pipe with Discharge?

Length of Pipe given Pressure Drop over Length of Pipe with Discharge 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 Drop over Length of Pipe with Discharge can be measured.

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Length of Pipe given Pressure Drop over Length of Pipe with Discharge Formula

​GoLength of Pipe given Pressure Drop over Length of Pipe Formula

​GoLength of Pipe given Head Loss over Length of Pipe Formula

Length of Pipe given Pressure Drop over Length of Pipe with Discharge Example

Length of Pipe given Pressure Drop over Length of Pipe with Discharge Solution

Length of Pipe given Pressure Drop over Length of Pipe with Discharge Formula Elements

Other Formulas to find Length of Pipe

Other formulas in Hagen Poiseuille Equation category

How to Evaluate Length of Pipe given Pressure Drop over Length of Pipe with Discharge?

FAQs on Length of Pipe given Pressure Drop over Length of Pipe with Discharge

Variable Name

GoLength of Pipe given Pressure Drop over Length of Pipe Formula

GoLength of Pipe given Head Loss over Length of Pipe Formula