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Length of Pipe Formula

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Pipe Length refers to the distance between two points along a conduit or pipeline, impacting fluid flow dynamics, friction losses, and pressure drop, crucial in system design and analysis. Check FAQs

L p = \frac{2 \cdot D \cdot H f \cdot [g]}{f \cdot {V avg}^{2}}

L_p - Pipe Length?D - Pipe Diameter?H_f - Head Loss due to Friction?f - Friction Factor?V_avg - Fluid Average Velocity?[g] - Gravitational acceleration on Earth?

Length of Pipe Example

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

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

Here is how the Length of Pipe equation looks like.

36.9074 = \frac{2 \cdot 0.05 \cdot 12.37 \cdot 9.8066}{0.03 \cdot {3.31}^{2}}

36.9074m = \frac{2 \cdot 0.05m \cdot 12.37m \cdot 9.8066m/s²}{0.03 \cdot {3.31m/s}^{2}}

36.9074 = \frac{2 \cdot 0.05 \cdot 12.37 \cdot 9.8066}{0.03 \cdot {3.31}^{2}}

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Length of Pipe Solution

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

FIRST Step Consider the formula

L p = \frac{2 \cdot D \cdot H f \cdot [g]}{f \cdot {V avg}^{2}}

Next Step Substitute values of Variables

∴

L p = \frac{2 \cdot 0.05m \cdot 12.37m \cdot [g]}{0.03 \cdot {3.31m/s}^{2}}

Next Step Substitute values of Constants

∴

L p = \frac{2 \cdot 0.05m \cdot 12.37m \cdot 9.8066m/s²}{0.03 \cdot {3.31m/s}^{2}}

Next Step Prepare to Evaluate

∴

L p = \frac{2 \cdot 0.05 \cdot 12.37 \cdot 9.8066}{0.03 \cdot {3.31}^{2}}

Next Step Evaluate

∴

L p = 36.9073729094599m

LAST Step Rounding Answer

∴

L p = 36.9074m

Length of Pipe Formula Elements

Variables

Constants

Pipe Length

Pipe Length refers to the distance between two points along a conduit or pipeline, impacting fluid flow dynamics, friction losses, and pressure drop, crucial in system design and analysis.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pipe Length

Pipe Diameter

Pipe Diameter is the width of a cylindrical conduit, crucial in fluid dynamics, influencing flow rate, pressure drop, and system design, typically measured in millimeters or inches.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pipe Diameter

Head Loss due to Friction

Head Loss due to Friction is the reduction in fluid pressure energy as it flows through a conduit, caused by friction between the fluid and the conduit walls.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss due to Friction

Friction Factor

Friction Factor represents the resistance to flow in a pipe or conduit, influenced by surface roughness and fluid properties, crucial in calculating pressure drops.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Friction Factor

Fluid Average Velocity

Fluid Average Velocity is the mean speed at which fluid particles travel through a cross-section of a conduit, influencing flow rate and dynamics, typically measured in meters per second (m/s).

Symbol: V_avg

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Fluid Average Velocity

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Flow Measurement category

Go Reynolds number of fluid flowing in Pipe

R = \frac{V \cdot D \cdot ρ}{µ a}

Go Flow Rate

F v = A \cdot V avg

Go Mass Flow Rate

Q = ρ m \cdot F v

Go Volume Flow Rate

F v = \frac{Q}{ρ m}

How to Evaluate Length of Pipe?

Length of Pipe evaluator uses Pipe Length = (2*Pipe Diameter*Head Loss due to Friction*[g])/(Friction Factor*Fluid Average Velocity^2) to evaluate the Pipe Length, The Length of Pipe formula is defined as the length of the pipe through which the fluid flows. This length is a key parameter influencing the flow rate of the fluid. Generally, longer pipes offer more resistance to the flow of fluid due to increased surface area and friction with the pipe walls. Pipe Length is denoted by L_p symbol.

How to evaluate Length of Pipe using this online evaluator? To use this online evaluator for Length of Pipe, enter Pipe Diameter (D), Head Loss due to Friction (H_f), Friction Factor (f) & Fluid Average Velocity (V_avg) and hit the calculate button.

FAQs on Length of Pipe

What is the formula to find Length of Pipe?

The formula of Length of Pipe is expressed as Pipe Length = (2*Pipe Diameter*Head Loss due to Friction*[g])/(Friction Factor*Fluid Average Velocity^2). Here is an example- 36.90737 = (2*0.05*12.37*[g])/(0.03*3.31^2).

How to calculate Length of Pipe?

With Pipe Diameter (D), Head Loss due to Friction (H_f), Friction Factor (f) & Fluid Average Velocity (V_avg) we can find Length of Pipe using the formula - Pipe Length = (2*Pipe Diameter*Head Loss due to Friction*[g])/(Friction Factor*Fluid Average Velocity^2). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Length of Pipe be negative?

No, the Length of Pipe, measured in Length cannot be negative.

Which unit is used to measure Length of Pipe?

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 can be measured.

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Length of Pipe Formula

Length of Pipe Example

Length of Pipe Solution

Length of Pipe Formula Elements

Other formulas in Flow Measurement category

How to Evaluate Length of Pipe?

FAQs on Length of Pipe

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