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Head Loss over Length of Pipe Formula

GoHead Loss over Length of Pipe given Discharge Formula

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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. Check FAQs

h = \frac{32 \cdot μ \cdot V mean \cdot L p}{γ f \cdot {D pipe}^{2}}

h - Head Loss due to Friction?μ - Dynamic Viscosity?V_mean - Mean Velocity?L_p - Length of Pipe?γ_f - Specific Weight of Liquid?D_pipe - Diameter of Pipe?

Head Loss over Length of Pipe Example

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

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

Here is how the Head Loss over Length of Pipe equation looks like.

0.0033 = \frac{32 \cdot 10.2 \cdot 10.1 \cdot 0.1}{9.81 \cdot {1.01}^{2}}

0.0033m = \frac{32 \cdot 10.2P \cdot 10.1m/s \cdot 0.1m}{9.81kN/m³ \cdot {1.01m}^{2}}

0.0033 = \frac{32 \cdot 10.2 \cdot 10.1 \cdot 0.1}{9.81 \cdot {1.01}^{2}}

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Head Loss over Length of Pipe Solution

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

FIRST Step Consider the formula

h = \frac{32 \cdot μ \cdot V mean \cdot L p}{γ f \cdot {D pipe}^{2}}

Next Step Substitute values of Variables

∴

h = \frac{32 \cdot 10.2P \cdot 10.1m/s \cdot 0.1m}{9.81kN/m³ \cdot {1.01m}^{2}}

Next Step Convert Units

∴

h = \frac{32 \cdot 1.02Pa*s \cdot 10.1m/s \cdot 0.1m}{9810N/m³ \cdot {1.01m}^{2}}

Next Step Prepare to Evaluate

∴

h = \frac{32 \cdot 1.02 \cdot 10.1 \cdot 0.1}{9810 \cdot {1.01}^{2}}

Next Step Evaluate

∴

h = 0.0032942743815666m

LAST Step Rounding Answer

∴

h = 0.0033m

Head Loss over Length of Pipe Formula Elements

Variables

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

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

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

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

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

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

Other Formulas to find Head Loss due to Friction

Go Head Loss over Length of Pipe given Discharge

h = \frac{128 \cdot μ \cdot Q \cdot L p}{π \cdot γ f \cdot {D pipe}^{4}}

Other formulas in Hagen Poiseuille Equation category

Go Pressure drop over length of pipe

ΔP = (32 \cdot μ \cdot V mean \cdot \frac{L p}{{D pipe}^{2}})

Go Mean Velocity of Flow given Pressure Drop over Length of Pipe

V mean = \frac{ΔP}{32 \cdot μ \cdot \frac{L p}{{D pipe}^{2}}}

Go Diameter of Pipe given Pressure Drop over Length of Pipe

D pipe = \sqrt{\frac{32 \cdot μ \cdot V mean \cdot L p}{ΔP}}

Go Length of Pipe given Pressure Drop over Length of Pipe

L p = \frac{ΔP \cdot {D pipe}^{2}}{32 \cdot μ \cdot V mean}

How to Evaluate Head Loss over Length of Pipe?

Head Loss over Length of Pipe evaluator uses Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2) to evaluate the Head Loss due to Friction, The Head Loss over Length of Pipe is defined as loss of energy due to friction in pipe across its entire length. Head Loss due to Friction is denoted by h symbol.

How to evaluate Head Loss over Length of Pipe using this online evaluator? To use this online evaluator for Head Loss over Length of Pipe, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe) and hit the calculate button.

FAQs on Head Loss over Length of Pipe

What is the formula to find Head Loss over Length of Pipe?

The formula of Head Loss over Length of Pipe is expressed as Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2). Here is an example- 0.003294 = (32*1.02*10.1*0.1)/(9810*1.01^2).

How to calculate Head Loss over Length of Pipe?

With Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Diameter of Pipe (D_pipe) we can find Head Loss over Length of Pipe using the formula - Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2).

What are the other ways to Calculate Head Loss due to Friction?

Here are the different ways to Calculate Head Loss due to Friction-

Head Loss due to Friction=(128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)

Can the Head Loss over Length of Pipe be negative?

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

Which unit is used to measure Head Loss over Length of Pipe?

Head Loss over 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 Head Loss over Length of Pipe can be measured.

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Head Loss over Length of Pipe Formula

​GoHead Loss over Length of Pipe given Discharge Formula

Head Loss over Length of Pipe Example

Head Loss over Length of Pipe Solution

Head Loss over Length of Pipe Formula Elements

Other Formulas to find Head Loss due to Friction

Other formulas in Hagen Poiseuille Equation category

How to Evaluate Head Loss over Length of Pipe?

FAQs on Head Loss over Length of Pipe

Variable Name

GoHead Loss over Length of Pipe given Discharge Formula