Diameter of Pipe given Head Loss due to Frictional Resistance Calculator

✖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.ⓘ Darcy Friction Factor [f]			+10% -10%
✖The Length of Pipe refers to total length from one end to another in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ Mean Velocity [V_mean]			+10% -10%
✖The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.ⓘ Head Loss due to Friction [h]			+10% -10%

✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Head Loss due to Frictional Resistance [D_pipe]

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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)
D_pipe = f*L_p*(V_mean^2)/(2*[g]*h)
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) - The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.
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.
Length of Pipe - (Measured in Meter) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
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.
Head Loss due to Friction - (Measured in Meter) - The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.

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: 2.5 Meter --> 2.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = f*L_p*(V_mean^2)/(2*[g]*h) --> 5*0.1*(10.1^2)/(2*[g]*2.5)

Evaluating ... ...

D_pipe = 1.04021250885878

STEP 3: Convert Result to Output's Unit

1.04021250885878 Meter --> No Conversion Required

FINAL ANSWER

1.04021250885878 ≈ 1.040213 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 Head Loss due to Frictional Resistance Formula

LaTeX Go

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

What is Frictional Resistance ?

Frictional resistance refers to the force that opposes the motion of a fluid or an object as it moves through a medium or along a surface. In the context of fluid dynamics, frictional resistance occurs when a fluid (like water, air, or oil) flows through a pipe, conduit, or any channel, and its interaction with the surface of the material creates resistance, resulting in energy loss.

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 formula is defined as the cross-sectional area through which a fluid flows given the energy lost as fluid flows through a pipe due to friction. Diameter of Pipe is denoted by D_pipe 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 (L_p), Mean Velocity (V_mean) & Head Loss due to Friction (h) 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 -> 1.040213 = 5*0.1*(10.1^2)/(2*[g]*2.5).

FAQ

What is Diameter of Pipe given Head Loss due to Frictional Resistance?

The Diameter of Pipe given Head Loss due to Frictional Resistance formula is defined as the cross-sectional area through which a fluid flows given the energy lost as fluid flows through a pipe due to friction and is represented as D_pipe = f*L_p*(V_mean^2)/(2*[g]*h) or Diameter of Pipe = Darcy Friction Factor*Length of Pipe*(Mean Velocity^2)/(2*[g]*Head Loss due to Friction). 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 Length of Pipe refers to total length from one end to another in which the liquid is flowing, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel & The Head Loss due to Friction refers to the loss of energy (or pressure) that occurs when a fluid flows through a pipe or duct due to the resistance created by the surface of the pipe.

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

The Diameter of Pipe given Head Loss due to Frictional Resistance formula is defined as the cross-sectional area through which a fluid flows given the energy lost as fluid flows through a pipe due to friction 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 (L_p), Mean Velocity (V_mean) & Head Loss due to Friction (h). 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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