Length of Duct given Pressure Loss due to Friction Calculator

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Pressure Loss in Ducts

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Friction Factor

✖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.ⓘ Pressure Loss due to Friction in Ducts [P_f]			+10% -10%
✖Hydraulic Mean Depth is defined as the area of the flow section divided by the top water surface width.ⓘ Hydraulic Mean Depth [m]			+10% -10%
✖Friction Factor in Duct is dimensionless number depending upon the surface of the duct.ⓘ Friction Factor in Duct [f]			+10% -10%
✖Air Density is the density of wind or air in the atmosphere.ⓘ Air Density [ρ_air]			+10% -10%
✖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.ⓘ Mean Velocity of Air [V_mean]			+10% -10%

✖Length of Duct is defined as the measurement or extent of something from end to end of ducts.ⓘ Length of Duct given Pressure Loss due to Friction [L]

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Formula

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Length of Duct given Pressure Loss due to Friction

Formula

`"L" = (2*"P"_{"f"}*"m")/("f"*"ρ"_{"air"}*"V"_{"mean"}^2)`

Example

`"0.0654m"=(2*"10.5mmAq"*"0.07m")/("0.8"*"1.225kg/m³"*("15m/s")^2)`

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Length of Duct given Pressure Loss due to Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
L = (2*P_f*m)/(f*ρ_air*V_mean^2)
This formula uses 6 Variables

Variables Used

Length of Duct - (Measured in Meter) - Length of Duct is defined as the measurement or extent of something from end to end of ducts.
Pressure Loss due to Friction in Ducts - (Measured in Pascal) - 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.
Hydraulic Mean Depth - (Measured in Meter) - Hydraulic Mean Depth is defined as the area of the flow section divided by the top water surface width.
Friction Factor in Duct - Friction Factor in Duct is dimensionless number depending upon the surface of the duct.
Air Density - (Measured in Kilogram per Cubic Meter) - Air Density is the density of wind or air in the atmosphere.
Mean Velocity of Air - (Measured in Meter per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Pressure Loss due to Friction in Ducts: 10.5 Millimeter Water (4 °C) --> 103.005 Pascal (Check conversion here)
Hydraulic Mean Depth: 0.07 Meter --> 0.07 Meter No Conversion Required
Friction Factor in Duct: 0.8 --> No Conversion Required
Air Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Mean Velocity of Air: 15 Meter per Second --> 15 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = (2*P_f*m)/(f*ρ_air*V_mean^2) --> (2*103.005*0.07)/(0.8*1.225*15^2)

Evaluating ... ...

L = 0.0654

STEP 3: Convert Result to Output's Unit

0.0654 Meter --> No Conversion Required

FINAL ANSWER

0.0654 Meter <-- Length of Duct

(Calculation completed in 00.004 seconds)

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Created by Abhishek Dharmendra Bansile

Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune

Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< 5 Pressure Loss in Ducts Calculators

Length of Duct given Pressure Loss due to Friction

Go 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)

Pressure Loss due to Friction in Ducts

Go Pressure Loss due to Friction in Ducts = (Friction Factor in Duct*Length of Duct*Air Density*Mean Velocity of Air^2)/(2*Hydraulic Mean Depth)

Pressure Drop in Square Duct

Go Pressure Drop = (0.6*Friction Factor in Duct*Length of Duct*Mean Velocity of Air^2)/((Side^2)/(2*(Side+Side)))

Pressure Drop in Circular Duct

Go Pressure Drop = (0.6*Friction Factor in Duct*Length of Duct*Mean Velocity of Air^2)/(Diameter of Circular Duct/4)

Total Pressure required at Inlet to Duct

Go Total Pressure Required = Pressure Loss due to Friction in Ducts+Velocity Pressure in Ducts

Length of Duct given Pressure Loss due to Friction 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)
L = (2*P_f*m)/(f*ρ_air*V_mean^2)

Pressure loss due to friction in ducts

The head loss due to friction is given by the Fanning equation and can be used to calculate the pressure at any point in a piping system if the pressure, average flow velocity, pipe inside diameter, and elevation are known at any other point.

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

Length of Duct given Pressure Loss due to Friction calculator 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 calculate the Length of Duct, The Length of Duct given Pressure Loss due to Friction formula is defined as the distance from one end to another end of the duct is calculated when the pressure loss due to friction is given. Length of Duct is denoted by L symbol.

How to calculate Length of Duct given Pressure Loss due to Friction using this online calculator? To use this online calculator for Length of Duct given Pressure Loss due to Friction, enter Pressure Loss due to Friction in Ducts (P_f), Hydraulic Mean Depth (m), Friction Factor in Duct (f), Air Density (ρ_air) & Mean Velocity of Air (V_mean) and hit the calculate button. Here is how the Length of Duct given Pressure Loss due to Friction calculation can be explained with given input values -> 0.0654 = (2*103.005*0.07)/(0.8*1.225*15^2).

FAQ

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

The Length of Duct given Pressure Loss due to Friction formula is defined as the distance from one end to another end of the duct is calculated when the pressure loss due to friction is given and is represented as L = (2*P_f*m)/(f*ρ_air*V_mean^2) or 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). 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, Hydraulic Mean Depth is defined as the area of the flow section divided by the top water surface width, Friction Factor in Duct is dimensionless number depending upon the surface of the duct, Air Density is the density of wind or air in the atmosphere & 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.

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

The Length of Duct given Pressure Loss due to Friction formula is defined as the distance from one end to another end of the duct is calculated when the pressure loss due to friction is given is calculated using 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 calculate Length of Duct given Pressure Loss due to Friction, you need Pressure Loss due to Friction in Ducts (P_f), Hydraulic Mean Depth (m), Friction Factor in Duct (f), Air Density (ρ_air) & Mean Velocity of Air (V_mean). With our tool, you need to enter the respective value for Pressure Loss due to Friction in Ducts, Hydraulic Mean Depth, Friction Factor in Duct, Air Density & Mean Velocity of Air and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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