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Length of Duct given Pressure Loss due to Friction Formula

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Length of Duct is defined as the measurement or extent of something from end to end of ducts. Check FAQs

L = \frac{2 \cdot ΔP f \cdot m}{f \cdot ρ air \cdot {V m}^{2}}

L - Length of Duct?ΔP_f - Pressure Loss Due to Friction in Ducts?m - Hydraulic Mean Depth?f - Friction Factor in Duct?ρ_air - Air Density?V_m - Mean Velocity of Air?

Length of Duct given Pressure Loss due to Friction Example

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Here is how the Length of Duct given Pressure Loss due to Friction equation looks like with Values.

Here is how the Length of Duct given Pressure Loss due to Friction equation looks like with Units.

Here is how the Length of Duct given Pressure Loss due to Friction equation looks like.

0.0654 = \frac{2 \cdot 10.5 \cdot 0.07}{0.8 \cdot 1.225 \cdot 15^{2}}

0.0654m = \frac{2 \cdot 10.5mmAq \cdot 0.07m}{0.8 \cdot 1.225kg/m³ \cdot {15m/s}^{2}}

0.0654 = \frac{2 \cdot 10.5 \cdot 0.07}{0.8 \cdot 1.225 \cdot 15^{2}}

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Length of Duct given Pressure Loss due to Friction Solution

Follow our step by step solution on how to calculate Length of Duct given Pressure Loss due to Friction?

FIRST Step Consider the formula

L = \frac{2 \cdot ΔP f \cdot m}{f \cdot ρ air \cdot {V m}^{2}}

Next Step Substitute values of Variables

∴

L = \frac{2 \cdot 10.5mmAq \cdot 0.07m}{0.8 \cdot 1.225kg/m³ \cdot {15m/s}^{2}}

Next Step Convert Units

∴

L = \frac{2 \cdot 103.005Pa \cdot 0.07m}{0.8 \cdot 1.225kg/m³ \cdot {15m/s}^{2}}

Next Step Prepare to Evaluate

∴

L = \frac{2 \cdot 103.005 \cdot 0.07}{0.8 \cdot 1.225 \cdot 15^{2}}

LAST Step Evaluate

∴

L = 0.0654m

Length of Duct given Pressure Loss due to Friction Formula Elements

Variables

Length of Duct

Length of Duct is defined as the measurement or extent of something from end to end of ducts.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Duct

Pressure Loss Due to Friction in Ducts

Pressure Loss due to Friction in Ducts is defined as the energy lost in a fluid transportation through a pipe due to friction between the fluid and pipe wall.

Symbol: ΔP_f

Measurement: PressureUnit: mmAq

Note: Value can be positive or negative.

Formulas to find Pressure Loss Due to Friction in Ducts

Hydraulic Mean Depth

Hydraulic Mean Depth is defined as the area of the flow section divided by the top water surface width.

Symbol: m

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Mean Depth

Friction Factor in Duct

Friction Factor in Duct is dimensionless number depending upon the surface of the duct.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Friction Factor in Duct

Air Density

Air Density is the density of wind or air in the atmosphere.

Symbol: ρ_air

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Air Density

Mean Velocity of Air

Mean Velocity of Air is defined as the time average of the velocity of a fluid at a fixed point, over a somewhat arbitrary time interval T counted from some fixed time t0.

Symbol: V_m

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Mean Velocity of Air

Other formulas in Pressure category

Go Dynamic Pressure Loss

P d = C \cdot 0.6 \cdot V^{2}

Go Dynamic Loss Coefficient given Dynamic Pressure Loss

C = \frac{P d}{0.6 \cdot V^{2}}

Go Dynamic Loss Coefficient given Equivalent Additional Length

C = \frac{f \cdot L e}{m}

Go Pressure Loss due to Sudden Enlargement

ΔP se = 0.6 \cdot {(V 1 - V 2)}^{2}

How to Evaluate Length of Duct given Pressure Loss due to Friction?

Length of Duct given Pressure Loss due to Friction evaluator uses Length of Duct = (2*Pressure Loss Due to Friction in Ducts*Hydraulic Mean Depth)/(Friction Factor in Duct*Air Density*Mean Velocity of Air^2) to evaluate the Length of Duct, Length of Duct given Pressure Loss due to Friction formula is defined as the distance of a duct where the pressure loss occurs due to friction, which is an essential parameter in designing and optimizing duct systems, particularly in heating, ventilation, and air conditioning applications. Length of Duct is denoted by L symbol.

How to evaluate Length of Duct given Pressure Loss due to Friction using this online evaluator? To use this online evaluator for Length of Duct given Pressure Loss due to Friction, enter Pressure Loss Due to Friction in Ducts (ΔP_f), Hydraulic Mean Depth (m), Friction Factor in Duct (f), Air Density (ρ_air) & Mean Velocity of Air (V_m) and hit the calculate button.

FAQs on Length of Duct given Pressure Loss due to Friction

What is the formula to find Length of Duct given Pressure Loss due to Friction?

The formula of Length of Duct given Pressure Loss due to Friction is expressed as Length of Duct = (2*Pressure Loss Due to Friction in Ducts*Hydraulic Mean Depth)/(Friction Factor in Duct*Air Density*Mean Velocity of Air^2). Here is an example- 0.0654 = (2*103.005*0.07)/(0.8*1.225*15^2).

How to calculate Length of Duct given Pressure Loss due to Friction?

With Pressure Loss Due to Friction in Ducts (ΔP_f), Hydraulic Mean Depth (m), Friction Factor in Duct (f), Air Density (ρ_air) & Mean Velocity of Air (V_m) we can find Length of Duct given Pressure Loss due to Friction using the formula - Length of Duct = (2*Pressure Loss Due to Friction in Ducts*Hydraulic Mean Depth)/(Friction Factor in Duct*Air Density*Mean Velocity of Air^2).

Can the Length of Duct given Pressure Loss due to Friction be negative?

No, the Length of Duct given Pressure Loss due to Friction, measured in Length cannot be negative.

Which unit is used to measure Length of Duct given Pressure Loss due to Friction?

Length of Duct given Pressure 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 Length of Duct given Pressure Loss due to Friction can be measured.

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Length of Duct given Pressure Loss due to Friction Formula

Length of Duct given Pressure Loss due to Friction Example

Length of Duct given Pressure Loss due to Friction Solution

Length of Duct given Pressure Loss due to Friction Formula Elements

Other formulas in Pressure category

How to Evaluate Length of Duct given Pressure Loss due to Friction?

FAQs on Length of Duct given Pressure Loss due to Friction

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