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Frictional Loss Formula

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Frictional Loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct. Check FAQs

h f = (h 1 - h 2) + (\frac{{V 1}^{2}}{2 \cdot g} - \frac{{V 2}^{2}}{2 \cdot g}) - h e

h_f - Frictional Loss?h₁ - Height above Datum at Section 1?h₂ - Height above Datum at Section 2?V₁ - Mean Velocity at End Sections at (1)?g - Acceleration due to Gravity?V₂ - Mean Velocity at End Sections at (2)?h_e - Eddy Loss?

Frictional Loss Example

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Here is how the Frictional Loss equation looks like with Values.

Here is how the Frictional Loss equation looks like with Units.

Here is how the Frictional Loss equation looks like.

30.4334 = (50 - 20) + (\frac{10^{2}}{2 \cdot 9.8} - \frac{9^{2}}{2 \cdot 9.8}) - 0.536

30.4334 = (50m - 20m) + (\frac{{10m/s}^{2}}{2 \cdot 9.8m/s²} - \frac{{9m/s}^{2}}{2 \cdot 9.8m/s²}) - 0.536

30.4334 = (50 - 20) + (\frac{10^{2}}{2 \cdot 9.8} - \frac{9^{2}}{2 \cdot 9.8}) - 0.536

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Frictional Loss Solution

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

FIRST Step Consider the formula

h f = (h 1 - h 2) + (\frac{{V 1}^{2}}{2 \cdot g} - \frac{{V 2}^{2}}{2 \cdot g}) - h e

Next Step Substitute values of Variables

∴

h f = (50m - 20m) + (\frac{{10m/s}^{2}}{2 \cdot 9.8m/s²} - \frac{{9m/s}^{2}}{2 \cdot 9.8m/s²}) - 0.536

Next Step Prepare to Evaluate

∴

h f = (50 - 20) + (\frac{10^{2}}{2 \cdot 9.8} - \frac{9^{2}}{2 \cdot 9.8}) - 0.536

Next Step Evaluate

∴

h f = 30.433387755102

LAST Step Rounding Answer

∴

h f = 30.4334

Frictional Loss Formula Elements

Variables

Frictional Loss

Frictional Loss is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

Symbol: h_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Frictional Loss

Height above Datum at Section 1

Height above Datum at Section 1, the datum is a fixed starting point of a scale or operation.

Symbol: h₁

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height above Datum at Section 1

Height above Datum at Section 2

Height above Datum at Section 2, datum is a fixed starting point of a scale or operation.

Symbol: h₂

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Height above Datum at Section 2

Mean Velocity at End Sections at (1)

Mean Velocity at End Sections at (1) is denoted by V₁ symbol.

Symbol: V₁

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity at End Sections at (1)

Acceleration due to Gravity

Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Mean Velocity at End Sections at (2)

Mean Velocity at End Sections at (2) is the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval counted from fixed time.

Symbol: V₂

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Mean Velocity at End Sections at (2)

Eddy Loss

Eddy Loss is the loss in fluid current whose flow direction differs from that of the general flow; the motion of the whole fluid is the net result of the movements of the eddies that compose it.

Symbol: h_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Eddy Loss

Other formulas in Slope Area Method category

Go Head loss in Reach

h l = Z 1 + y 1 + (\frac{{V 1}^{2}}{2 \cdot g}) - Z 2 - y 2 - \frac{{V 2}^{2}}{2 \cdot g}

Go Eddy Loss

h e = (h 1 - h 2) + (\frac{{V 1}^{2}}{2 \cdot g} - \frac{{V 2}^{2}}{2 \cdot g}) - h f

How to Evaluate Frictional Loss?

Frictional Loss evaluator uses Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss to evaluate the Frictional Loss, The Frictional Loss (or skin friction) formula is defined as the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct. Frictional Loss is denoted by h_f symbol.

How to evaluate Frictional Loss using this online evaluator? To use this online evaluator for Frictional Loss, enter Height above Datum at Section 1 (h₁), Height above Datum at Section 2 (h₂), Mean Velocity at End Sections at (1) (V₁), Acceleration due to Gravity (g), Mean Velocity at End Sections at (2) (V₂) & Eddy Loss (h_e) and hit the calculate button.

FAQs on Frictional Loss

What is the formula to find Frictional Loss?

The formula of Frictional Loss is expressed as Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss. Here is an example- 30.43339 = (50-20)+(10^2/(2*9.8)-9^2/(2*9.8))-0.536.

How to calculate Frictional Loss?

With Height above Datum at Section 1 (h₁), Height above Datum at Section 2 (h₂), Mean Velocity at End Sections at (1) (V₁), Acceleration due to Gravity (g), Mean Velocity at End Sections at (2) (V₂) & Eddy Loss (h_e) we can find Frictional Loss using the formula - Frictional Loss = (Height above Datum at Section 1-Height above Datum at Section 2)+(Mean Velocity at End Sections at (1)^2/(2*Acceleration due to Gravity)-Mean Velocity at End Sections at (2)^2/(2*Acceleration due to Gravity))-Eddy Loss.

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Frictional Loss Formula

Frictional Loss Example

Frictional Loss Solution

Frictional Loss Formula Elements

Other formulas in Slope Area Method category

How to Evaluate Frictional Loss?

FAQs on Frictional Loss

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