Diameter of Pipe given Friction Factor Calculator

✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.ⓘ Darcy Friction Factor [f]			+10% -10%
✖Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity [V_mean]			+10% -10%
✖Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.ⓘ Density of Fluid [ρ_Fluid]			+10% -10%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Friction Factor [D_pipe]

⎘ Copy

👎

Formula

✖

Diameter of Pipe given Friction Factor

Formula

`"D"_{"pipe"} = (64*"μ"_{"viscosity"})/("f"*"V"_{"mean"}*"ρ"_{"Fluid"})`

Example

`"1.055243m"=(64*"10.2P")/("5"*"10.1m/s"*"1.225kg/m³")`

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

Diameter of Pipe given Friction Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)
D_pipe = (64*μ_viscosity)/(f*V_mean*ρ_Fluid)
This formula uses 5 Variables

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.
Darcy Friction Factor - Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart.
Mean Velocity - (Measured in Meter per Second) - Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Darcy Friction Factor: 5 --> No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Density of Fluid: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = (64*μ_viscosity)/(f*V_mean*ρ_Fluid) --> (64*1.02)/(5*10.1*1.225)

Evaluating ... ...

D_pipe = 1.05524348353203

STEP 3: Convert Result to Output's Unit

1.05524348353203 Meter --> No Conversion Required

FINAL ANSWER

1.05524348353203 ≈ 1.055243 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Darcy – Weisbach Equation » Diameter of Pipe given Friction Factor

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 14 Darcy – Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance

Go Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)

Length of Pipe given Head Loss due to Frictional Resistance

Go Length of Pipe = (Head Loss due to Friction*2*[g]*Diameter of Pipe)/(Darcy Friction Factor*Mean Velocity*2)

Head Loss due to Frictional Resistance

Go Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)

Diameter of Pipe given Friction Factor

Go Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)

Dynamic Viscosity given Friction Factor

Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64

Density of Fluid given Friction Factor

Go Density of Fluid = Dynamic Viscosity*64/(Darcy Friction Factor*Diameter of Pipe*Mean Velocity)

Density of Liquid given Shear Stress and Darcy Friction Factor

Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*Mean Velocity*Mean Velocity)

Pressure Gradient given Total Required Power

Go Pressure Gradient = Power/(Length of Pipe*Cross Sectional Area of Pipe*Mean Velocity)

Area of Pipe given Total Required Power

Go Cross Sectional Area of Pipe = Power/(Length of Pipe*Pressure Gradient*Mean Velocity)

Shear Stress given Friction Factor and Density

Go Shear Stress = Density of Fluid*Darcy Friction Factor*Mean Velocity*Mean Velocity/8

Total Required Power

Go Power = Pressure Gradient*Cross Sectional Area of Pipe*Mean Velocity*Length of Pipe

Density of Liquid using Mean Velocity given Shear Stress with Friction Factor

Go Density of Fluid = 8*Shear Stress/(Darcy Friction Factor*(Mean Velocity^2))

Shear Velocity

Go Shear Velocity = Mean Velocity*sqrt(Darcy Friction Factor/8)

Reynolds Number given Friction Factor

Go Reynolds Number = 64/Darcy Friction Factor

Diameter of Pipe given Friction Factor Formula

Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)
D_pipe = (64*μ_viscosity)/(f*V_mean*ρ_Fluid)

Why is friction factor important?

In determining flow rates to distribute a fluid through a network of pipes, is essential to estimate losses in kinetic energy that the flow experiences due to head loss. To do that, it is necessary to calculate the friction factor (f). The friction factor relates to pressure drop and fluid viscous effects [1].

How to Calculate Diameter of Pipe given Friction Factor?

Diameter of Pipe given Friction Factor calculator uses Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid) to calculate the Diameter of Pipe, The Diameter of Pipe given Friction Factor is defined as the width of the section or cross-sectional element of a pipe. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Friction Factor using this online calculator? To use this online calculator for Diameter of Pipe given Friction Factor, enter Dynamic Viscosity (μ_viscosity), Darcy Friction Factor (f), Mean Velocity (V_mean) & Density of Fluid (ρ_Fluid) and hit the calculate button. Here is how the Diameter of Pipe given Friction Factor calculation can be explained with given input values -> 1.055243 = (64*1.02)/(5*10.1*1.225).

FAQ

What is Diameter of Pipe given Friction Factor?

The Diameter of Pipe given Friction Factor is defined as the width of the section or cross-sectional element of a pipe and is represented as D_pipe = (64*μ_viscosity)/(f*V_mean*ρ_Fluid) or Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Darcy Friction Factor is denoted by f. Its value depends on the flow's Reynolds number Re and on the pipe's relative roughness ε / D. It can be obtained from Moody's chart, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & Density of Fluid is defined as the mass of fluid per unit volume of the said fluid.

How to calculate Diameter of Pipe given Friction Factor?

The Diameter of Pipe given Friction Factor is defined as the width of the section or cross-sectional element of a pipe is calculated using Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid). To calculate Diameter of Pipe given Friction Factor, you need Dynamic Viscosity (μ_viscosity), Darcy Friction Factor (f), Mean Velocity (V_mean) & Density of Fluid (ρ_Fluid). With our tool, you need to enter the respective value for Dynamic Viscosity, Darcy Friction Factor, Mean Velocity & Density of Fluid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Pipe?

In this formula, Diameter of Pipe uses Dynamic Viscosity, Darcy Friction Factor, Mean Velocity & Density of Fluid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)

Home

FREE PDFs

🔍 Search