FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Head Loss due to Friction Formula

Fx Copy

LaTeX Copy

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system. Check FAQs

h f = f Darcy \cdot {u Fluid}^{2} \cdot \frac{L Pipe}{d pipe \cdot 2 \cdot [g]}

h_f - Head loss?f_Darcy - Darcy Friction Factor?u_Fluid - Fluid Velocity?L_Pipe - Length of Pipe?d_pipe - Pipe Diameter?[g] - Gravitational acceleration on Earth?

Head Loss due to Friction Example

With values

With units

Only example

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

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

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

0.1454 = 0.1 \cdot 12^{2} \cdot \frac{0.2}{1.01 \cdot 2 \cdot 9.8066}

0.1454m = 0.1 \cdot {12m/s}^{2} \cdot \frac{0.2m}{1.01m \cdot 2 \cdot 9.8066m/s²}

0.1454 = 0.1 \cdot 12^{2} \cdot \frac{0.2}{1.01 \cdot 2 \cdot 9.8066}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Chemical Engineering » Category

Fluid Dynamics » fx Head Loss due to Friction

Head Loss due to Friction Solution

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

FIRST Step Consider the formula

h f = f Darcy \cdot {u Fluid}^{2} \cdot \frac{L Pipe}{d pipe \cdot 2 \cdot [g]}

Next Step Substitute values of Variables

∴

h f = 0.1 \cdot {12m/s}^{2} \cdot \frac{0.2m}{1.01m \cdot 2 \cdot [g]}

Next Step Substitute values of Constants

∴

h f = 0.1 \cdot {12m/s}^{2} \cdot \frac{0.2m}{1.01m \cdot 2 \cdot 9.8066m/s²}

Next Step Prepare to Evaluate

∴

h f = 0.1 \cdot 12^{2} \cdot \frac{0.2}{1.01 \cdot 2 \cdot 9.8066}

Next Step Evaluate

∴

h f = 0.145385281850319m

LAST Step Rounding Answer

∴

h f = 0.1454m

Head Loss due to Friction Formula Elements

Variables

Constants

Head loss

Head loss is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system.

Symbol: h_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Head loss

Darcy Friction Factor

Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.

Symbol: f_Darcy

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Darcy Friction Factor

Fluid Velocity

Fluid velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

Symbol: u_Fluid

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Fluid Velocity

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L_Pipe

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Pipe Diameter

Pipe Diameter is 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 Pipe Diameter

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 Basic Formulas category

Go Momentum Diffusivity

𝜈 = \frac{μ viscosity}{ρ}

Go Height of Capillary Rise or Fall

h c = 4 \cdot σ \cdot \frac{\cos (θ)}{ρ \cdot [g] \cdot d}

Go Hydrostatic Force on Horizontal Plane Submerged Surface

F = ρ \cdot [g] \cdot z s \cdot A

Go Hydrostatic Force on Curved Submerged Surface

F = \sqrt{{(ρ \cdot [g] \cdot V T)}^{2} + {(ρ \cdot [g] \cdot z s \cdot A)}^{2}}

How to Evaluate Head Loss due to Friction?

Head Loss due to Friction evaluator uses Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]) to evaluate the Head loss, Head Loss due to friction is a measure of the reduction in the total head (sum of elevation head, velocity head and pressure head) of the fluid as it moves through a fluid system owing to friction. Head loss is denoted by h_f symbol.

How to evaluate Head Loss due to Friction using this online evaluator? To use this online evaluator for Head Loss due to Friction, enter Darcy Friction Factor (f_Darcy), Fluid Velocity (u_Fluid), Length of Pipe (L_Pipe) & Pipe Diameter (d_pipe) and hit the calculate button.

FAQs on Head Loss due to Friction

What is the formula to find Head Loss due to Friction?

The formula of Head Loss due to Friction is expressed as Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]). Here is an example- 0.145385 = 0.1*12^(2)*0.2/(1.01*2*[g]).

How to calculate Head Loss due to Friction?

With Darcy Friction Factor (f_Darcy), Fluid Velocity (u_Fluid), Length of Pipe (L_Pipe) & Pipe Diameter (d_pipe) we can find Head Loss due to Friction using the formula - Head loss = Darcy Friction Factor*Fluid Velocity^(2)*Length of Pipe/(Pipe Diameter*2*[g]). This formula also uses Gravitational acceleration on Earth constant(s).

Can the Head Loss due to Friction be negative?

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

Which unit is used to measure Head Loss due to Friction?

Head Loss 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 Head Loss due to Friction can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Head Loss due to Friction Formula

Head Loss due to Friction Example

Head Loss due to Friction Solution

Head Loss due to Friction Formula Elements

Other formulas in Basic Formulas category

How to Evaluate Head Loss due to Friction?

FAQs on Head Loss due to Friction

Variable Name