Diameter of Pipe given Head Loss due to Frictional Resistance Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction)
Dpipe = f*Lp*(Vmean^2)/(2*[g]*hlocation)
This formula uses 1 Constants, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
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.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
STEP 1: Convert Input(s) to Base Unit
Darcy Friction Factor: 5 --> No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Dpipe = f*Lp*(Vmean^2)/(2*[g]*hlocation) --> 5*0.1*(10.1^2)/(2*[g]*1.9)
Evaluating ... ...
Dpipe = 1.36870066955103
STEP 3: Convert Result to Output's Unit
1.36870066955103 Meter --> No Conversion Required
FINAL ANSWER
1.36870066955103 1.368701 Meter <-- Diameter of Pipe
(Calculation completed in 00.004 seconds)

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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 Head Loss due to Frictional Resistance Formula

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

What is Frictional Resistance ?

In fluid flow, friction loss (or skin friction) is the loss of pressure or “head” that occurs in pipe or duct flow due to the effect of the fluid's viscosity near the surface of the pipe or duct.

How to Calculate Diameter of Pipe given Head Loss due to Frictional Resistance?

Diameter of Pipe given Head Loss due to Frictional Resistance calculator uses Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction) to calculate the Diameter of Pipe, The Diameter of Pipe given Head Loss due to Frictional Resistance is defined as width of section or pipe. Diameter of Pipe is denoted by Dpipe symbol.

How to calculate Diameter of Pipe given Head Loss due to Frictional Resistance using this online calculator? To use this online calculator for Diameter of Pipe given Head Loss due to Frictional Resistance, enter Darcy Friction Factor (f), Length of Pipe (Lp), Mean Velocity (Vmean) & Head Loss due to Friction (hlocation) and hit the calculate button. Here is how the Diameter of Pipe given Head Loss due to Frictional Resistance calculation can be explained with given input values -> 0.896735 = 5*0.1*(10.1^2)/(2*[g]*1.9).

FAQ

What is Diameter of Pipe given Head Loss due to Frictional Resistance?
The Diameter of Pipe given Head Loss due to Frictional Resistance is defined as width of section or pipe and is represented as Dpipe = f*Lp*(Vmean^2)/(2*[g]*hlocation) or Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction). 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, Length of Pipe describes the length of the pipe in which the liquid is flowing, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T & The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.
How to calculate Diameter of Pipe given Head Loss due to Frictional Resistance?
The Diameter of Pipe given Head Loss due to Frictional Resistance is defined as width of section or pipe is calculated using Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction). To calculate Diameter of Pipe given Head Loss due to Frictional Resistance, you need Darcy Friction Factor (f), Length of Pipe (Lp), Mean Velocity (Vmean) & Head Loss due to Friction (hlocation). With our tool, you need to enter the respective value for Darcy Friction Factor, Length of Pipe, Mean Velocity & Head Loss due to Friction 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 Darcy Friction Factor, Length of Pipe, Mean Velocity & Head Loss due to Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Diameter of Pipe = (64*Dynamic Viscosity)/(Darcy Friction Factor*Mean Velocity*Density of Fluid)
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