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Length of Pipe given Head Loss due to Frictional Resistance 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 \cdot 2 \cdot [g] \cdot D pipe}{f \cdot V mean \cdot 2}

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

Length of Pipe given Head Loss due to Frictional Resistance Example

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

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

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

0.4903 = \frac{2.5 \cdot 2 \cdot 9.8066 \cdot 1.01}{5 \cdot 10.1 \cdot 2}

0.4903m = \frac{2.5m \cdot 2 \cdot 9.8066m/s² \cdot 1.01m}{5 \cdot 10.1m/s \cdot 2}

0.4903 = \frac{2.5 \cdot 2 \cdot 9.8066 \cdot 1.01}{5 \cdot 10.1 \cdot 2}

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Length of Pipe given Head Loss due to Frictional Resistance Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L p = \frac{2.5m \cdot 2 \cdot [g] \cdot 1.01m}{5 \cdot 10.1m/s \cdot 2}

Next Step Substitute values of Constants

∴

L p = \frac{2.5m \cdot 2 \cdot 9.8066m/s² \cdot 1.01m}{5 \cdot 10.1m/s \cdot 2}

Next Step Prepare to Evaluate

∴

L p = \frac{2.5 \cdot 2 \cdot 9.8066 \cdot 1.01}{5 \cdot 10.1 \cdot 2}

Next Step Evaluate

∴

L p = 0.4903325m

LAST Step Rounding Answer

∴

L p = 0.4903m

Length of Pipe given Head Loss due to Frictional Resistance 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.

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

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

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

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 Darcy Weisbach Equation category

Go Head Loss due to Frictional Resistance

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

Go Diameter of Pipe given Head Loss due to Frictional Resistance

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

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 Length of Pipe given Head Loss due to Frictional Resistance?

Length of Pipe given Head Loss due to Frictional Resistance evaluator uses Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2) to evaluate the Length of Pipe, The Length of Pipe given Head Loss due to Frictional Resistance formula is defined as the total amount of energy lost due to the roughness of pipe through the total length of pipe. Length of Pipe is denoted by L_p symbol.

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

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

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

The formula of Length of Pipe given Head Loss due to Frictional Resistance is expressed as Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2). Here is an example- 0.490332 = (2.5*2*[g]*1.01)/(5*10.1*2).

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

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

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

Yes, the Length of Pipe given Head Loss due to Frictional Resistance, measured in Length can be negative.

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

Length 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 Length of Pipe given Head Loss due to Frictional Resistance can be measured.

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Length of Pipe given Head Loss due to Frictional Resistance Formula

Length of Pipe given Head Loss due to Frictional Resistance Example

Length of Pipe given Head Loss due to Frictional Resistance Solution

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

Other formulas in Darcy Weisbach Equation category

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

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

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