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

GoLength of Pipe given Pressure Drop over Length of Pipe Formula

GoLength of Pipe given Pressure Drop over Length of Pipe with Discharge 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{h}{\frac{128 \cdot μ \cdot Q}{π \cdot γ f \cdot {D pipe}^{4}}}

L_p - Length of Pipe?h - Head Loss due to Friction?μ - Dynamic Viscosity?Q - Discharge in Pipe?γ_f - Specific Weight of Liquid?D_pipe - Diameter of Pipe?π - Archimedes' constant?

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

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

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

Here is how the Length of Pipe given Head Loss over Length of Pipe with Discharge equation looks like.

614.0925 = \frac{2.5}{\frac{128 \cdot 10.2 \cdot 1}{3.1416 \cdot 9.81 \cdot {1.01}^{4}}}

614.0925m = \frac{2.5m}{\frac{128 \cdot 10.2P \cdot 1m³/s}{3.1416 \cdot 9.81kN/m³ \cdot {1.01m}^{4}}}

614.0925 = \frac{2.5}{\frac{128 \cdot 10.2 \cdot 1}{3.1416 \cdot 9.81 \cdot {1.01}^{4}}}

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Home » Engineering » Civil » Hydraulics and Waterworks » Length of Pipe given Head Loss over Length of Pipe with Discharge

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L p = \frac{2.5m}{\frac{128 \cdot 10.2P \cdot 1m³/s}{π \cdot 9.81kN/m³ \cdot {1.01m}^{4}}}

Next Step Substitute values of Constants

∴

L p = \frac{2.5m}{\frac{128 \cdot 10.2P \cdot 1m³/s}{3.1416 \cdot 9.81kN/m³ \cdot {1.01m}^{4}}}

Next Step Convert Units

∴

L p = \frac{2.5m}{\frac{128 \cdot 1.02Pa*s \cdot 1m³/s}{3.1416 \cdot 9810N/m³ \cdot {1.01m}^{4}}}

Next Step Prepare to Evaluate

∴

L p = \frac{2.5}{\frac{128 \cdot 1.02 \cdot 1}{3.1416 \cdot 9810 \cdot {1.01}^{4}}}

Next Step Evaluate

∴

L p = 614.092521010679m

LAST Step Rounding Answer

∴

L p = 614.0925m

Length of Pipe given Head Loss 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.

Head Loss due to Friction

The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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.

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.

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.

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.

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

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Formula and 1300+ more formulas!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Formula and 1700+ more formulas!

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 Pressure Drop over Length of Pipe with Discharge

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

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}}}

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 Head Loss over Length of Pipe with Discharge?

Length of Pipe given Head Loss over Length of Pipe with Discharge evaluator uses Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)) to evaluate the Length of Pipe, The Length of Pipe given Head Loss over Length of Pipe with Discharge is defined as total length of flow in pipe. Length of Pipe is denoted by L_p symbol.

How to evaluate Length of Pipe given Head Loss over Length of Pipe with Discharge using this online evaluator? To use this online evaluator for Length of Pipe given Head Loss over Length of Pipe with Discharge, enter Head Loss due to Friction (h), Dynamic Viscosity (μ), Discharge in Pipe (Q), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe) and hit the calculate button.

FAQs on Length of Pipe given Head Loss over Length of Pipe with Discharge

What is the formula to find Length of Pipe given Head Loss over Length of Pipe with Discharge?

The formula of Length of Pipe given Head Loss over Length of Pipe with Discharge is expressed as Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). Here is an example- 982.548 = 2.5/((128*1.02*1.000001)/(pi*9810*1.01^4)).

How to calculate Length of Pipe given Head Loss over Length of Pipe with Discharge?

With Head Loss due to Friction (h), Dynamic Viscosity (μ), Discharge in Pipe (Q), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe) we can find Length of Pipe given Head Loss over Length of Pipe with Discharge using the formula - Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)). 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=(pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe)
Length of Pipe=Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))

Can the Length of Pipe given Head Loss over Length of Pipe with Discharge be negative?

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

Which unit is used to measure Length of Pipe given Head Loss over Length of Pipe with Discharge?

Length of Pipe given Head Loss 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 Head Loss over Length of Pipe with Discharge can be measured.

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

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

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

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

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

Length of Pipe given Head Loss over Length of Pipe with Discharge Formula Elements

Credits

Other Formulas to find Length of Pipe

Other formulas in Hagen Poiseuille Equation category

How to Evaluate Length of Pipe given Head Loss over Length of Pipe with Discharge?

FAQs on Length of Pipe given Head Loss over Length of Pipe with Discharge

Variable Name

GoLength of Pipe given Pressure Drop over Length of Pipe Formula

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