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Length of Pipe given Head Loss due to Friction Formula

GoLength of Pipe given Internal Radius of Pipe Formula

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Length of Pipe describes the length of the pipe in which the liquid is flowing. Check FAQs

L p = \frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot {(v avg)}^{2}}

L_p - Length of Pipe?h_f - Head Loss?D_p - Diameter of Pipe?f - Darcy's Coefficient of Friction?v_avg - Average Velocity in Pipe Fluid Flow?[g] - Gravitational acceleration on Earth?

Length of Pipe given Head Loss due to Friction Example

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

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

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

2.5043 = \frac{1.2 \cdot 2 \cdot 9.8066 \cdot 0.4}{4 \cdot 0.045 \cdot {(4.57)}^{2}}

2.5043m = \frac{1.2m \cdot 2 \cdot 9.8066m/s² \cdot 0.4m}{4 \cdot 0.045 \cdot {(4.57m/s)}^{2}}

2.5043 = \frac{1.2 \cdot 2 \cdot 9.8066 \cdot 0.4}{4 \cdot 0.045 \cdot {(4.57)}^{2}}

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Length of Pipe given Head Loss due to Friction Solution

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

FIRST Step Consider the formula

L p = \frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot {(v avg)}^{2}}

Next Step Substitute values of Variables

∴

L p = \frac{1.2m \cdot 2 \cdot [g] \cdot 0.4m}{4 \cdot 0.045 \cdot {(4.57m/s)}^{2}}

Next Step Substitute values of Constants

∴

L p = \frac{1.2m \cdot 2 \cdot 9.8066m/s² \cdot 0.4m}{4 \cdot 0.045 \cdot {(4.57m/s)}^{2}}

Next Step Prepare to Evaluate

∴

L p = \frac{1.2 \cdot 2 \cdot 9.8066 \cdot 0.4}{4 \cdot 0.045 \cdot {(4.57)}^{2}}

Next Step Evaluate

∴

L p = 2.50430374736452m

LAST Step Rounding Answer

∴

L p = 2.5043m

Length of Pipe given Head Loss due to Friction Formula Elements

Variables

Constants

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Head Loss

Head Loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head Loss

Diameter of Pipe

Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

Symbol: D_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Darcy's Coefficient of Friction

Darcy's Coefficient of Friction refers to a parameter used to characterize the flow of water or other fluids through porous media, such as soil or rock.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy's Coefficient of Friction

Average Velocity in Pipe Fluid Flow

Average Velocity in Pipe Fluid Flow is the total volumetric flow rate divided by the cross-sectional area of the pipe.

Symbol: v_avg

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity in Pipe Fluid Flow

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 Length of Pipe

Go Length of Pipe given Internal Radius of Pipe

L p = \frac{h f \cdot [g] \cdot R}{f \cdot {(v avg)}^{2}}

Other formulas in Darcy's Weisbach Equation category

Go Head Loss due to Friction by Darcy Weisbach Equation

h f = \frac{4 \cdot f \cdot L p \cdot {(v avg)}^{2}}{2 \cdot [g] \cdot D p}

Go Darcy's Coefficient of Friction given Head Loss

f = \frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot L p \cdot {(v avg)}^{2}}

Go Average Velocity of Flow given Head Loss

v avg = \sqrt{\frac{h f \cdot 2 \cdot [g] \cdot D p}{4 \cdot f \cdot L p}}

Go Internal Diameter of Pipe given Head Loss

D p = \frac{4 \cdot f \cdot L p \cdot {(v avg)}^{2}}{2 \cdot [g] \cdot h f}

How to Evaluate Length of Pipe given Head Loss due to Friction?

Length of Pipe given Head Loss due to Friction evaluator uses Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*(Average Velocity in Pipe Fluid Flow)^2) to evaluate the Length of Pipe, The Length of Pipe given Head Loss due to Friction is defined as the value of length of pipe when we have prior information of head loss. Length of Pipe is denoted by L_p symbol.

How to evaluate Length of Pipe given Head Loss due to Friction using this online evaluator? To use this online evaluator for Length of Pipe given Head Loss due to Friction, enter Head Loss (h_f), Diameter of Pipe (D_p), Darcy's Coefficient of Friction (f) & Average Velocity in Pipe Fluid Flow (v_avg) and hit the calculate button.

FAQs on Length of Pipe given Head Loss due to Friction

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

The formula of Length of Pipe given Head Loss due to Friction is expressed as Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*(Average Velocity in Pipe Fluid Flow)^2). Here is an example- 2.504304 = (1.2*2*[g]*0.4)/(4*0.045*(4.57)^2).

How to calculate Length of Pipe given Head Loss due to Friction?

With Head Loss (h_f), Diameter of Pipe (D_p), Darcy's Coefficient of Friction (f) & Average Velocity in Pipe Fluid Flow (v_avg) we can find Length of Pipe given Head Loss due to Friction using the formula - Length of Pipe = (Head Loss*2*[g]*Diameter of Pipe)/(4*Darcy's Coefficient of Friction*(Average Velocity in Pipe Fluid Flow)^2). This formula also uses Gravitational acceleration on Earth constant(s).

What are the other ways to Calculate Length of Pipe?

Here are the different ways to Calculate Length of Pipe-

Length of Pipe=(Head Loss*[g]*Pipe Radius)/(Darcy's Coefficient of Friction*(Average Velocity in Pipe Fluid Flow)^2)

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

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

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

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

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Length of Pipe given Head Loss due to Friction Formula

​GoLength of Pipe given Internal Radius of Pipe Formula

Length of Pipe given Head Loss due to Friction Example

Length of Pipe given Head Loss due to Friction Solution

Length of Pipe given Head Loss due to Friction Formula Elements

Other Formulas to find Length of Pipe

Other formulas in Darcy's Weisbach Equation category

How to Evaluate Length of Pipe given Head Loss due to Friction?

FAQs on Length of Pipe given Head Loss due to Friction

Variable Name

GoLength of Pipe given Internal Radius of Pipe Formula