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)
ΔPf = (f*L*ρair*Vm^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: 0.0654 Meter --> 0.0654 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
ΔPf = (f*L*ρair*Vm^2)/(2*m) --> (0.8*0.0654*1.225*15^2)/(2*0.07)
Evaluating ... ...
ΔPf = 103.005
STEP 3: Convert Result to Output's Unit
103.005 Pascal -->10.5 Millimeter Water (4 °C) (Check conversion ​here)
FINAL ANSWER
10.5 Millimeter Water (4 °C) <-- Pressure Loss Due to Friction in Ducts
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Vishwakarma Institute of Information Technology, Pune (VIIT Pune), Pune
Abhishek Dharmendra Bansile has created this Calculator and 100+ more calculators!
Verifier Image
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

Pressure Calculators

Dynamic Loss Coefficient given Equivalent Additional Length
​ LaTeX ​ Go Dynamic Loss Coefficient = (Friction Factor in Duct*Equivalent Additional Length)/Hydraulic Mean Depth
Pressure Loss due to Sudden Enlargement
​ LaTeX ​ Go Pressure Loss due to Sudden Enlargement = 0.6*(Velocity of Air at Section 1-Velocity of Air at Section 2)^2
Dynamic Loss Coefficient given Dynamic Pressure Loss
​ LaTeX ​ Go Dynamic Loss Coefficient = Dynamic Pressure Loss/(0.6*Velocity of Air^2)
Dynamic Pressure Loss
​ LaTeX ​ Go Dynamic Pressure Loss = Dynamic Loss Coefficient*0.6*Velocity of Air^2

Pressure Loss due to Friction in Ducts Formula

​LaTeX ​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)
ΔPf = (f*L*ρair*Vm^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 formula is defined as a measure of the reduction in pressure that occurs when air flows through a duct due to the frictional forces that resist the flow, resulting in energy loss and reduced airflow. Pressure Loss Due to Friction in Ducts is denoted by ΔPf 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 air), Mean Velocity of Air (Vm) & 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*0.0654*1.225*15^2)/(2*0.07).

FAQ

What is Pressure Loss due to Friction in Ducts?
Pressure Loss due to Friction in Ducts formula is defined as a measure of the reduction in pressure that occurs when air flows through a duct due to the frictional forces that resist the flow, resulting in energy loss and reduced airflow and is represented as ΔPf = (f*L*ρair*Vm^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 formula is defined as a measure of the reduction in pressure that occurs when air flows through a duct due to the frictional forces that resist the flow, resulting in energy loss and reduced airflow 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 air), Mean Velocity of Air (Vm) & 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.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!