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Pipe Diameter Formula

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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. Check FAQs

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

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

Pipe Diameter Example

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Here is how the Pipe Diameter equation looks like with Values.

Here is how the Pipe Diameter equation looks like with Units.

Here is how the Pipe Diameter equation looks like.

0.0498 = \frac{0.03 \cdot 36.75 \cdot {3.31}^{2}}{2 \cdot 12.37 \cdot 9.8066}

0.0498m = \frac{0.03 \cdot 36.75m \cdot {3.31m/s}^{2}}{2 \cdot 12.37m \cdot 9.8066m/s²}

0.0498 = \frac{0.03 \cdot 36.75 \cdot {3.31}^{2}}{2 \cdot 12.37 \cdot 9.8066}

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Pipe Diameter Solution

Follow our step by step solution on how to calculate Pipe Diameter?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

D = \frac{0.03 \cdot 36.75m \cdot {3.31m/s}^{2}}{2 \cdot 12.37m \cdot [g]}

Next Step Substitute values of Constants

∴

D = \frac{0.03 \cdot 36.75m \cdot {3.31m/s}^{2}}{2 \cdot 12.37m \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

D = \frac{0.03 \cdot 36.75 \cdot {3.31}^{2}}{2 \cdot 12.37 \cdot 9.8066}

Next Step Evaluate

∴

D = 0.0497868001742552m

LAST Step Rounding Answer

∴

D = 0.0498m

Pipe Diameter Formula Elements

Variables

Constants

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

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

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

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

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

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 Pipe Diameter?

Pipe Diameter evaluator uses Pipe Diameter = (Friction Factor*Pipe Length*Fluid Average Velocity^2)/(2*Head Loss due to Friction*[g]) to evaluate the Pipe Diameter, The Pipe Diameter formula is defined as a chord that runs through the center point of the circle. It is the longest possible chord of pipe. Pipe Diameter is denoted by D symbol.

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

FAQs on Pipe Diameter

What is the formula to find Pipe Diameter?

The formula of Pipe Diameter is expressed as Pipe Diameter = (Friction Factor*Pipe Length*Fluid Average Velocity^2)/(2*Head Loss due to Friction*[g]). Here is an example- 0.049787 = (0.03*36.75*3.31^2)/(2*12.37*[g]).

How to calculate Pipe Diameter?

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

Can the Pipe Diameter be negative?

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

Which unit is used to measure Pipe Diameter?

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

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Pipe Diameter Formula

Pipe Diameter Example

Pipe Diameter Solution

Pipe Diameter Formula Elements

Other formulas in Flow Measurement category

How to Evaluate Pipe Diameter?

FAQs on Pipe Diameter

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