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Head Loss over Length of Pipe given Discharge Formula

GoHead Loss over Length of Pipe 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{128 \cdot μ \cdot Q \cdot L p}{π \cdot γ f \cdot {D pipe}^{4}}

h - Head Loss due to Friction?μ - Dynamic Viscosity?Q - Discharge in Pipe?L_p - Length of Pipe?γ_f - Specific Weight of Liquid?D_pipe - Diameter of Pipe?π - Archimedes' constant?

Head Loss over Length of Pipe given Discharge Example

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

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

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

0.0004 = \frac{128 \cdot 10.2 \cdot 1 \cdot 0.1}{3.1416 \cdot 9.81 \cdot {1.01}^{4}}

0.0004m = \frac{128 \cdot 10.2P \cdot 1m³/s \cdot 0.1m}{3.1416 \cdot 9.81kN/m³ \cdot {1.01m}^{4}}

0.0004 = \frac{128 \cdot 10.2 \cdot 1 \cdot 0.1}{3.1416 \cdot 9.81 \cdot {1.01}^{4}}

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Head Loss over Length of Pipe given Discharge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{128 \cdot 10.2P \cdot 1m³/s \cdot 0.1m}{π \cdot 9.81kN/m³ \cdot {1.01m}^{4}}

Next Step Substitute values of Constants

∴

h = \frac{128 \cdot 10.2P \cdot 1m³/s \cdot 0.1m}{3.1416 \cdot 9.81kN/m³ \cdot {1.01m}^{4}}

Next Step Convert Units

∴

h = \frac{128 \cdot 1.02Pa*s \cdot 1m³/s \cdot 0.1m}{3.1416 \cdot 9810N/m³ \cdot {1.01m}^{4}}

Next Step Prepare to Evaluate

∴

h = \frac{128 \cdot 1.02 \cdot 1 \cdot 0.1}{3.1416 \cdot 9810 \cdot {1.01}^{4}}

Next Step Evaluate

∴

h = 0.000407104778915965m

LAST Step Rounding Answer

∴

h = 0.0004m

Head Loss over Length of Pipe given Discharge Formula Elements

Variables

Constants

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

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Head Loss due to Friction

Go Head Loss over Length of Pipe

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

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 given Discharge?

Head Loss over Length of Pipe given Discharge evaluator uses Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4) to evaluate the Head Loss due to Friction, The Head Loss over Length of Pipe given discharge 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 given Discharge using this online evaluator? To use this online evaluator for Head Loss over Length of Pipe given Discharge, enter Dynamic Viscosity (μ), Discharge in Pipe (Q), 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 given Discharge

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

The formula of Head Loss over Length of Pipe given Discharge is expressed as Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4). Here is an example- 0.000407 = (128*1.02*1.000001*0.1)/(pi*9810*1.01^4).

How to calculate Head Loss over Length of Pipe given Discharge?

With Dynamic Viscosity (μ), Discharge in Pipe (Q), 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 given Discharge using the formula - Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4). This formula also uses Archimedes' constant .

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=(32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)

Can the Head Loss over Length of Pipe given Discharge be negative?

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

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

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

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Head Loss over Length of Pipe given Discharge Formula

​GoHead Loss over Length of Pipe Formula

Head Loss over Length of Pipe given Discharge Example

Head Loss over Length of Pipe given Discharge Solution

Head Loss over Length of Pipe given Discharge 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 given Discharge?

FAQs on Head Loss over Length of Pipe given Discharge

Variable Name

GoHead Loss over Length of Pipe Formula