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)
Dpipe = (64*μ)/(f*Vmean*ρFluid)
This formula uses 5 Variables
Variables Used
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
Dynamic Viscosity - (Measured in Pascal Second) - The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.
Darcy Friction Factor - The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow.
Mean Velocity - (Measured in Meter per Second) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
Density of Fluid - (Measured in Kilogram per Cubic Meter) - The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume.
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
Dpipe = (64*μ)/(f*VmeanFluid) --> (64*1.02)/(5*10.1*1.225)
Evaluating ... ...
Dpipe = 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)

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Darcy Weisbach Equation Calculators

Diameter of Pipe given Head Loss due to Frictional Resistance
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Head Loss due to Friction = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Diameter of Pipe)
Dynamic Viscosity given Friction Factor
​ LaTeX ​ Go Dynamic Viscosity = (Darcy Friction Factor*Mean Velocity*Diameter of Pipe*Density of Fluid)/64

Diameter of Pipe given Friction Factor Formula

​LaTeX ​Go
Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)
Dpipe = (64*μ)/(f*Vmean*ρFluid)

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 the cross-sectional area through which a fluid flows given dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction. Diameter of Pipe is denoted by Dpipe 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), Darcy Friction Factor (f), Mean Velocity (Vmean) & Density of Fluid 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 the cross-sectional area through which a fluid flows given dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction and is represented as Dpipe = (64*μ)/(f*VmeanFluid) or Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Darcy Friction Factor refers to the dimensionless quantity used in fluid mechanics to describe the frictional losses in pipe flow and open-channel flow, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel & The Density of Fluid refers to the mass per unit volume of the fluid, a fundamental property that indicates how much mass is contained in a given volume.
How to calculate Diameter of Pipe given Friction Factor?
The Diameter of Pipe given Friction Factor is defined as the the cross-sectional area through which a fluid flows given dimensionless quantity used in fluid mechanics to quantify the resistance to flow in a pipe or duct due to friction 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), Darcy Friction Factor (f), Mean Velocity (Vmean) & Density of Fluid 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)
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