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Diameter of Pipe given Head Loss due to Frictional Resistance Formula

GoDiameter of Pipe given Friction Factor Formula

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The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing. Check FAQs

D pipe = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot h}

D_pipe - Diameter of Pipe?f - Darcy Friction Factor?L_p - Length of Pipe?V_mean - Mean Velocity?h - Head Loss due to Friction?[g] - Gravitational acceleration on Earth?

Diameter of Pipe given Head Loss due to Frictional Resistance Example

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Here is how the Diameter of Pipe given Head Loss due to Frictional Resistance equation looks like with Values.

Here is how the Diameter of Pipe given Head Loss due to Frictional Resistance equation looks like with Units.

Here is how the Diameter of Pipe given Head Loss due to Frictional Resistance equation looks like.

1.0402 = 5 \cdot 0.1 \cdot \frac{{10.1}^{2}}{2 \cdot 9.8066 \cdot 2.5}

1.0402m = 5 \cdot 0.1m \cdot \frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 2.5m}

1.0402 = 5 \cdot 0.1 \cdot \frac{{10.1}^{2}}{2 \cdot 9.8066 \cdot 2.5}

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Diameter of Pipe given Head Loss due to Frictional Resistance Solution

Follow our step by step solution on how to calculate Diameter of Pipe given Head Loss due to Frictional Resistance?

FIRST Step Consider the formula

D pipe = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot h}

Next Step Substitute values of Variables

∴

D pipe = 5 \cdot 0.1m \cdot \frac{{10.1m/s}^{2}}{2 \cdot [g] \cdot 2.5m}

Next Step Substitute values of Constants

∴

D pipe = 5 \cdot 0.1m \cdot \frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 2.5m}

Next Step Prepare to Evaluate

∴

D pipe = 5 \cdot 0.1 \cdot \frac{{10.1}^{2}}{2 \cdot 9.8066 \cdot 2.5}

Next Step Evaluate

∴

D pipe = 1.04021250885878m

LAST Step Rounding Answer

∴

D pipe = 1.0402m

Diameter of Pipe given Head Loss due to Frictional Resistance Formula Elements

Variables

Constants

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

Darcy Friction Factor

The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy Friction Factor

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

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

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

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 to find Diameter of Pipe

Go Diameter of Pipe given Friction Factor

D pipe = \frac{64 \cdot μ}{f \cdot V mean \cdot ρ Fluid}

Other formulas in Darcy Weisbach Equation category

Go Length of Pipe given Head Loss due to Frictional Resistance

L p = \frac{h \cdot 2 \cdot [g] \cdot D pipe}{f \cdot V mean \cdot 2}

Go Head Loss due to Frictional Resistance

h = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot D pipe}

Go Dynamic Viscosity given Friction Factor

μ = \frac{f \cdot V mean \cdot D pipe \cdot ρ Fluid}{64}

Go Density of Fluid given Friction Factor

ρ Fluid = μ \cdot \frac{64}{f \cdot D pipe \cdot V mean}

How to Evaluate Diameter of Pipe given Head Loss due to Frictional Resistance?

Diameter of Pipe given Head Loss due to Frictional Resistance evaluator uses Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction) to evaluate the Diameter of Pipe, The Diameter of Pipe given Head Loss due to Frictional Resistance formula is defined as the cross-sectional area through which a fluid flows given the energy lost as fluid flows through a pipe due to friction. Diameter of Pipe is denoted by D_pipe symbol.

How to evaluate Diameter of Pipe given Head Loss due to Frictional Resistance using this online evaluator? To use this online evaluator for Diameter of Pipe given Head Loss due to Frictional Resistance, enter Darcy Friction Factor (f), Length of Pipe (L_p), Mean Velocity (V_mean) & Head Loss due to Friction (h) and hit the calculate button.

FAQs on Diameter of Pipe given Head Loss due to Frictional Resistance

What is the formula to find Diameter of Pipe given Head Loss due to Frictional Resistance?

The formula of Diameter of Pipe given Head Loss due to Frictional Resistance is expressed as Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction). Here is an example- 1.040213 = 5*0.1*(10.1^2)/(2*[g]*2.5).

How to calculate Diameter of Pipe given Head Loss due to Frictional Resistance?

With Darcy Friction Factor (f), Length of Pipe (L_p), Mean Velocity (V_mean) & Head Loss due to Friction (h) we can find Diameter of Pipe given Head Loss due to Frictional Resistance using the formula - Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Diameter of Pipe?

Here are the different ways to Calculate Diameter of Pipe-

Diameter of Pipe=(64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)

Can the Diameter of Pipe given Head Loss due to Frictional Resistance be negative?

No, the Diameter of Pipe given Head Loss due to Frictional Resistance, measured in Length cannot be negative.

Which unit is used to measure Diameter of Pipe given Head Loss due to Frictional Resistance?

Diameter of Pipe given Head Loss due to Frictional Resistance is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Pipe given Head Loss due to Frictional Resistance can be measured.

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Diameter of Pipe given Head Loss due to Frictional Resistance Formula

​GoDiameter of Pipe given Friction Factor Formula

Diameter of Pipe given Head Loss due to Frictional Resistance Example

Diameter of Pipe given Head Loss due to Frictional Resistance Solution

Diameter of Pipe given Head Loss due to Frictional Resistance Formula Elements

Other Formulas to find Diameter of Pipe

Other formulas in Darcy Weisbach Equation category

How to Evaluate Diameter of Pipe given Head Loss due to Frictional Resistance?

FAQs on Diameter of Pipe given Head Loss due to Frictional Resistance

Variable Name

GoDiameter of Pipe given Friction Factor Formula