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Head Loss due to Frictional Resistance 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 = f \cdot L p \cdot \frac{{V mean}^{2}}{2 \cdot [g] \cdot D pipe}

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

Head Loss due to Frictional Resistance Example

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

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

Here is how the Head Loss due to Frictional Resistance equation looks like.

2.5748 = 5 \cdot 0.1 \cdot \frac{{10.1}^{2}}{2 \cdot 9.8066 \cdot 1.01}

2.5748m = 5 \cdot 0.1m \cdot \frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 1.01m}

2.5748 = 5 \cdot 0.1 \cdot \frac{{10.1}^{2}}{2 \cdot 9.8066 \cdot 1.01}

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Head Loss due to Frictional Resistance Solution

Follow our step by step solution on how to calculate Head Loss due to Frictional Resistance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 5 \cdot 0.1m \cdot \frac{{10.1m/s}^{2}}{2 \cdot [g] \cdot 1.01m}

Next Step Substitute values of Constants

∴

h = 5 \cdot 0.1m \cdot \frac{{10.1m/s}^{2}}{2 \cdot 9.8066m/s² \cdot 1.01m}

Next Step Prepare to Evaluate

∴

h = 5 \cdot 0.1 \cdot \frac{{10.1}^{2}}{2 \cdot 9.8066 \cdot 1.01}

Next Step Evaluate

∴

h = 2.57478343776927m

LAST Step Rounding Answer

∴

h = 2.5748m

Head Loss due to Frictional Resistance 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

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

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

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 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 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 Head Loss due to Frictional Resistance?

Head Loss due to Frictional Resistance evaluator uses Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe) to evaluate the Head Loss due to Friction, The Head Loss due to Frictional Resistance formula is defined as amount of energy lost in terms of height of water in flow. Head Loss due to Friction is denoted by h symbol.

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

FAQs on Head Loss due to Frictional Resistance

What is the formula to find Head Loss due to Frictional Resistance?

The formula of Head Loss due to Frictional Resistance is expressed as Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe). Here is an example- 2.574783 = 5*0.1*(10.1^2)/(2*[g]*1.01).

How to calculate Head Loss due to Frictional Resistance?

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

Can the Head Loss due to Frictional Resistance be negative?

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

Which unit is used to measure Head Loss due to Frictional Resistance?

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 Head Loss due to Frictional Resistance can be measured.

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Head Loss due to Frictional Resistance Formula

Head Loss due to Frictional Resistance Example

Head Loss due to Frictional Resistance Solution

Head Loss due to Frictional Resistance Formula Elements

Other formulas in Darcy Weisbach Equation category

How to Evaluate Head Loss due to Frictional Resistance?

FAQs on Head Loss due to Frictional Resistance

Variable Name