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Friction Factor when Head Loss is due to Frictional Resistance Formula

GoFriction Factor Formula

GoFriction Factor given Reynolds Number Formula

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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. Check FAQs

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

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

Friction Factor when Head Loss is due to Frictional Resistance Example

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

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

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

4.8548 = \frac{2.5 \cdot 2 \cdot 9.8066 \cdot 1.01}{0.1 \cdot {10.1}^{2}}

4.8548 = \frac{2.5m \cdot 2 \cdot 9.8066m/s² \cdot 1.01m}{0.1m \cdot {10.1m/s}^{2}}

4.8548 = \frac{2.5 \cdot 2 \cdot 9.8066 \cdot 1.01}{0.1 \cdot {10.1}^{2}}

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Friction Factor when Head Loss is due to Frictional Resistance Solution

Follow our step by step solution on how to calculate Friction Factor when Head Loss is due to Frictional Resistance?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f = \frac{2.5m \cdot 2 \cdot [g] \cdot 1.01m}{0.1m \cdot {10.1m/s}^{2}}

Next Step Substitute values of Constants

∴

f = \frac{2.5m \cdot 2 \cdot 9.8066m/s² \cdot 1.01m}{0.1m \cdot {10.1m/s}^{2}}

Next Step Prepare to Evaluate

∴

f = \frac{2.5 \cdot 2 \cdot 9.8066 \cdot 1.01}{0.1 \cdot {10.1}^{2}}

Next Step Evaluate

∴

f = 4.85477722772277

LAST Step Rounding Answer

∴

f = 4.8548

Friction Factor when Head Loss is due to Frictional Resistance Formula Elements

Variables

Constants

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

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

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

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

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 Darcy Friction Factor

Go Friction Factor

f = 64 \cdot \frac{μ}{ρ Fluid \cdot V mean \cdot D pipe}

Go Friction Factor given Reynolds Number

f = \frac{64}{Re}

Go Friction Factor given Shear Stress and Density

f = \frac{8 \cdot 𝜏}{V mean \cdot V mean \cdot ρ Fluid}

Go Friction Factor given Shear Velocity

f = 8 \cdot {(\frac{V shear}{V mean})}^{2}

How to Evaluate Friction Factor when Head Loss is due to Frictional Resistance?

Friction Factor when Head Loss is due to Frictional Resistance evaluator uses Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2) to evaluate the Darcy Friction Factor, The Friction Factor when Head Loss is due to Frictional Resistance is defined the dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction given the energy loss in a fluid flowing through a pipe or duct caused by the friction between the fluid and the walls of the pipe. Darcy Friction Factor is denoted by f symbol.

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

FAQs on Friction Factor when Head Loss is due to Frictional Resistance

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

The formula of Friction Factor when Head Loss is due to Frictional Resistance is expressed as Darcy Friction Factor = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Length of Pipe*Mean Velocity^2). Here is an example- 7.767644 = (2.5*2*[g]*1.01)/(0.1*10.1^2).

How to calculate Friction Factor when Head Loss is due to Frictional Resistance?

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

What are the other ways to Calculate Darcy Friction Factor?

Here are the different ways to Calculate Darcy Friction Factor-

Darcy Friction Factor=64*Dynamic Viscosity/(Density of Fluid*Mean Velocity*Diameter of Pipe)
Darcy Friction Factor=64/Reynolds Number
Darcy Friction Factor=(8*Shear Stress)/(Mean Velocity*Mean Velocity*Density of Fluid)

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Friction Factor when Head Loss is due to Frictional Resistance Formula

​GoFriction Factor Formula

​GoFriction Factor given Reynolds Number Formula

Friction Factor when Head Loss is due to Frictional Resistance Example

Friction Factor when Head Loss is due to Frictional Resistance Solution

Friction Factor when Head Loss is due to Frictional Resistance Formula Elements

Other Formulas to find Darcy Friction Factor

How to Evaluate Friction Factor when Head Loss is due to Frictional Resistance?

FAQs on Friction Factor when Head Loss is due to Frictional Resistance

Variable Name

GoFriction Factor Formula

GoFriction Factor given Reynolds Number Formula