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Length of Pipe given Head Loss over Length of Pipe 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{32 \cdot μ \cdot V mean}{γ f \cdot {D pipe}^{2}}}

L_p - Length of Pipe?h - Head Loss due to Friction?μ - Dynamic Viscosity?V_mean - Mean Velocity?γ_f - Specific Weight of Liquid?D_pipe - Diameter of Pipe?

Length of Pipe given Head Loss over Length of Pipe Example

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

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

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

75.8892 = \frac{2.5}{\frac{32 \cdot 10.2 \cdot 10.1}{9.81 \cdot {1.01}^{2}}}

75.8892m = \frac{2.5m}{\frac{32 \cdot 10.2P \cdot 10.1m/s}{9.81kN/m³ \cdot {1.01m}^{2}}}

75.8892 = \frac{2.5}{\frac{32 \cdot 10.2 \cdot 10.1}{9.81 \cdot {1.01}^{2}}}

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Length of Pipe given Head Loss over Length of Pipe Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L p = \frac{2.5m}{\frac{32 \cdot 10.2P \cdot 10.1m/s}{9.81kN/m³ \cdot {1.01m}^{2}}}

Next Step Convert Units

∴

L p = \frac{2.5m}{\frac{32 \cdot 1.02Pa*s \cdot 10.1m/s}{9810N/m³ \cdot {1.01m}^{2}}}

Next Step Prepare to Evaluate

∴

L p = \frac{2.5}{\frac{32 \cdot 1.02 \cdot 10.1}{9810 \cdot {1.01}^{2}}}

Next Step Evaluate

∴

L p = 75.8892463235294m

LAST Step Rounding Answer

∴

L p = 75.8892m

Length of Pipe given Head Loss over Length of Pipe 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

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.

Formulas to find Head Loss due to Friction

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

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

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.

Formulas to find Specific Weight of Liquid

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 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 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 Head Loss over Length of Pipe?

Length of Pipe given Head Loss over Length of Pipe evaluator uses Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2)) to evaluate the Length of Pipe, The Length of Pipe given Head Loss over Length of Pipe 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 using this online evaluator? To use this online evaluator for Length of Pipe given Head Loss over Length of Pipe, enter Head Loss due to Friction (h), Dynamic Viscosity (μ), Mean Velocity (V_mean), 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

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

The formula of Length of Pipe given Head Loss over Length of Pipe is expressed as Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2)). Here is an example- 121.4228 = 2.5/((32*1.02*10.1)/(9810*1.01^2)).

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

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

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/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))

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

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

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

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

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Length of Pipe given Head Loss over Length of Pipe 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 Example

Length of Pipe given Head Loss over Length of Pipe Solution

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

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?

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

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