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Loss of Head Due to Friction Formula

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Loss of Head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section. Check FAQs

h L = \frac{4 \cdot μ f \cdot L \cdot {v a}^{2}}{D p \cdot 2 \cdot [g]}

h_L - Loss of Head?μ_f - Coefficient of Friction?L - Length of Pipe?v_a - Average Velocity?D_p - Diameter of Pipe?[g] - Gravitational acceleration on Earth?

Loss of Head Due to Friction Example

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Here is how the Loss of Head Due to Friction equation looks like with Values.

Here is how the Loss of Head Due to Friction equation looks like with Units.

Here is how the Loss of Head Due to Friction equation looks like.

8.5951 = \frac{4 \cdot 0.4 \cdot 3 \cdot {6.5}^{2}}{1.203 \cdot 2 \cdot 9.8066}

8.5951m = \frac{4 \cdot 0.4 \cdot 3m \cdot {6.5m/s}^{2}}{1.203m \cdot 2 \cdot 9.8066m/s²}

8.5951 = \frac{4 \cdot 0.4 \cdot 3 \cdot {6.5}^{2}}{1.203 \cdot 2 \cdot 9.8066}

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Loss of Head Due to Friction Solution

Follow our step by step solution on how to calculate Loss of Head Due to Friction?

FIRST Step Consider the formula

h L = \frac{4 \cdot μ f \cdot L \cdot {v a}^{2}}{D p \cdot 2 \cdot [g]}

Next Step Substitute values of Variables

∴

h L = \frac{4 \cdot 0.4 \cdot 3m \cdot {6.5m/s}^{2}}{1.203m \cdot 2 \cdot [g]}

Next Step Substitute values of Constants

∴

h L = \frac{4 \cdot 0.4 \cdot 3m \cdot {6.5m/s}^{2}}{1.203m \cdot 2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

h L = \frac{4 \cdot 0.4 \cdot 3 \cdot {6.5}^{2}}{1.203 \cdot 2 \cdot 9.8066}

Next Step Evaluate

∴

h L = 8.59511421412817m

LAST Step Rounding Answer

∴

h L = 8.5951m

Loss of Head Due to Friction Formula Elements

Variables

Constants

Loss of Head

Loss of Head due to sudden enlargement turbulent eddies are formed at the corner of the enlargement of the pipe section.

Symbol: h_L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Loss of Head

Coefficient of Friction

The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it.

Symbol: μ_f

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction

Length of Pipe

Length of Pipe refers to the distance between two points along the pipe's axis. It is a fundamental parameter used to describe the size and layout of a piping system.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Average Velocity

Average Velocity is defined as the mean of all different velocities.

Symbol: v_a

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity

Diameter of Pipe

Diameter of Pipe is the length of the longest chord 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

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 Flow Analysis category

Go Difference of Pressure for Viscous or Laminar Flow

Δp = \frac{32 \cdot μ \cdot v a \cdot L}{{d o}^{2}}

Go Difference of Pressure for Viscous Flow between Two Parallel Plates

Δp = \frac{12 \cdot μ \cdot V \cdot L}{t^{2}}

Go Loss of Pressure Head for Viscous Flow through Circular Pipe

h f = \frac{32 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot {D p}^{2}}

Go Loss of Pressure Head for Viscous Flow between Two Parallel Plates

h f = \frac{12 \cdot μ \cdot V \cdot L}{ρ \cdot [g] \cdot t^{2}}

How to Evaluate Loss of Head Due to Friction?

Loss of Head Due to Friction evaluator uses Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g]) to evaluate the Loss of Head, Loss of Head Due to Friction also known as friction loss, in a pipe depends on the pipe's length and diameter, the flow velocity, the fluid's density and viscosity, and the roughness of the pipe's interior surface. This loss is often described by the Darcy-Weisbach equation, which shows that the head loss is directly proportional to the pipe length and the square of the flow velocity, and inversely proportional to the pipe diameter. The friction factor, which depends on the Reynolds number and the pipe roughness, also plays a crucial role. Loss of Head is denoted by h_L symbol.

How to evaluate Loss of Head Due to Friction using this online evaluator? To use this online evaluator for Loss of Head Due to Friction, enter Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Diameter of Pipe (D_p) and hit the calculate button.

FAQs on Loss of Head Due to Friction

What is the formula to find Loss of Head Due to Friction?

The formula of Loss of Head Due to Friction is expressed as Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g]). Here is an example- 8.595114 = (4*0.4*3*6.5^2)/(1.203*2*[g]).

How to calculate Loss of Head Due to Friction?

With Coefficient of Friction (μ_f), Length of Pipe (L), Average Velocity (v_a) & Diameter of Pipe (D_p) we can find Loss of Head Due to Friction using the formula - Loss of Head = (4*Coefficient of Friction*Length of Pipe*Average Velocity^2)/(Diameter of Pipe*2*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Loss of Head Due to Friction be negative?

Yes, the Loss of Head Due to Friction, measured in Length can be negative.

Which unit is used to measure Loss of Head Due to Friction?

Loss of Head 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 Loss of Head Due to Friction can be measured.

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Loss of Head Due to Friction Formula

Loss of Head Due to Friction Example

Loss of Head Due to Friction Solution

Loss of Head Due to Friction Formula Elements

Other formulas in Flow Analysis category

How to Evaluate Loss of Head Due to Friction?

FAQs on Loss of Head Due to Friction

Variable Name