Pressure Loss due to Friction in Ducts Calculator

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Continuity Equation for Ducts

Friction Factor

Parameters of Ducts

Pressure Loss in Ducts

✖Friction Factor in Duct is dimensionless number depending upon the surface of the duct.ⓘ Friction Factor in Duct [f]			+10% -10%
✖Length of Duct is defined as the measurement or extent of something from end to end of ducts.ⓘ Length of Duct [L]			+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%
✖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%

✖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]

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Formula

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Pressure Loss due to Friction in Ducts

Formula

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

Example

`"3050.459mmAq"=("0.8"*"19m"*"1.225kg/m³"*("15m/s")^2)/(2*"0.07m")`

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Pressure Loss due to Friction in Ducts Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Friction Factor in Duct - Friction Factor in Duct is dimensionless number depending upon the surface of the duct.
Length of Duct - (Measured in Meter) - Length of Duct is defined as the measurement or extent of something from end to end of ducts.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Friction Factor in Duct: 0.8 --> No Conversion Required
Length of Duct: 19 Meter --> 19 Meter 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
Hydraulic Mean Depth: 0.07 Meter --> 0.07 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_f = (f*L*ρ_air*V_mean^2)/(2*m) --> (0.8*19*1.225*15^2)/(2*0.07)

Evaluating ... ...

P_f = 29925

STEP 3: Convert Result to Output's Unit

29925 Pascal -->3050.45871559633 Millimeter Water (4 °C) (Check conversion here)

FINAL ANSWER

3050.45871559633 ≈ 3050.459 Millimeter Water (4 °C) <-- Pressure Loss due to Friction in Ducts

(Calculation completed in 00.004 seconds)

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Credits

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

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 17 Pressure 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)

Pressure Loss due to Gradual Contraction given Pressure Loss Coefficient at Section 1

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 1

Pressure Loss due to Gradual Contraction given Velocity of Air at Point 2

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient*Pressure Loss Coefficient at 2

Dynamic Loss Coefficient given Equivalent Additional Length

Go Dynamic Loss Coefficient = (Friction Factor in Duct*Equivalent Additional Length)/Hydraulic Mean Depth

Pressure Loss Coefficient at Outlet of Duct

Go Pressure Loss Coefficient at 2 = (Cross-Sectional Area of Duct at Section 2/Cross-Sectional Area of Duct at Section 1-1)^2

Pressure Loss Coefficient at Inlet of Duct

Go Pressure Loss Coefficient at 1 = (1-Cross-Sectional Area of Duct at Section 1/Cross-Sectional Area of Duct at Section 2)^2

Total Pressure required at Inlet to Duct

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

Pressure Loss due to Sudden Contraction given Velocity of Air at point 2

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 2^2*Pressure Loss Coefficient at 2

Pressure Loss due to Sudden Enlargement

Go Dynamic Pressure Loss = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2

Pressure Loss due to Sudden Contraction given Velocity of Air at Point 1

Go Dynamic Pressure Loss = 0.6*Velocity of Air at Section 1^2*Dynamic Loss Coefficient

Dynamic Loss Coefficient given Dynamic Pressure Loss

Go Dynamic Loss Coefficient = Dynamic Pressure Loss/(0.6*Velocity of Air^2)

Pressure Loss at Suction

Go Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2

Dynamic Pressure Loss

Go Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2

Pressure Loss at Discharge or Exit

Go Dynamic Pressure Loss = 0.6*Velocity of Air^2

Pressure Loss due to Friction in Ducts Formula

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)
P_f = (f*L*ρ_air*V_mean^2)/(2*m)

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 Pressure Loss due to Friction in Ducts?

Pressure Loss due to Friction in Ducts calculator uses 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) to calculate the Pressure Loss due to Friction in Ducts, Pressure loss due to friction in ducts is defined as the energy lost in fluid transportation through a pipe due to friction between the fluid and pipe wall. Pressure Loss due to Friction in Ducts is denoted by P_f symbol.

How to calculate Pressure Loss due to Friction in Ducts using this online calculator? To use this online calculator for Pressure Loss due to Friction in Ducts, enter Friction Factor in Duct (f), Length of Duct (L), Air Density (ρ_air), Mean Velocity of Air (V_mean) & Hydraulic Mean Depth (m) and hit the calculate button. Here is how the Pressure Loss due to Friction in Ducts calculation can be explained with given input values -> 310.954 = (0.8*19*1.225*15^2)/(2*0.07).

FAQ

What is Pressure Loss due to Friction in Ducts?

Pressure loss due to friction in ducts is defined as the energy lost in fluid transportation through a pipe due to friction between the fluid and pipe wall and is represented as P_f = (f*L*ρ_air*V_mean^2)/(2*m) or 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). Friction Factor in Duct is dimensionless number depending upon the surface of the duct, Length of Duct is defined as the measurement or extent of something from end to end of ducts, 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 & Hydraulic Mean Depth is defined as the area of the flow section divided by the top water surface width.

How to calculate Pressure Loss due to Friction in Ducts?

Pressure loss due to friction in ducts is defined as the energy lost in fluid transportation through a pipe due to friction between the fluid and pipe wall is calculated using 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). To calculate Pressure Loss due to Friction in Ducts, you need Friction Factor in Duct (f), Length of Duct (L), Air Density (ρ_air), Mean Velocity of Air (V_mean) & Hydraulic Mean Depth (m). With our tool, you need to enter the respective value for Friction Factor in Duct, Length of Duct, Air Density, Mean Velocity of Air & Hydraulic Mean Depth 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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