Diameter of Pipe given Head Loss over Length of Pipe 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%
✖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%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖The Head Loss due to Friction occurs due to the effect of the fluid's viscosity near the surface of the pipe or duct.ⓘ Head Loss due to Friction [h_location]			+10% -10%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Head Loss over Length of Pipe [D_pipe]

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Formula

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Diameter of Pipe given Head Loss over Length of Pipe

Formula

`"D"_{"pipe"} = sqrt((32*"μ"_{"viscosity"}*"V"_{"mean"}*"L"_{"p"})/("γ"_{"f"}*"h"_{"location"}))`

Example

`"0.042056m"=sqrt((32*"10.2P"*"10.1m/s"*"0.10m")/("9.81kN/m³"*"1.9m"))`

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Diameter of Pipe given Head Loss over Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
D_pipe = sqrt((32*μ_viscosity*V_mean*L_p)/(γ_f*h_location))
This formula uses 1 Functions, 6 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Head Loss due to Friction: 1.9 Meter --> 1.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = sqrt((32*μ_viscosity*V_mean*L_p)/(γ_f*h_location)) --> sqrt((32*1.02*10.1*0.1)/(9810*1.9))

Evaluating ... ...

D_pipe = 0.042055660465351

STEP 3: Convert Result to Output's Unit

0.042055660465351 Meter --> No Conversion Required

FINAL ANSWER

0.042055660465351 ≈ 0.042056 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Hagen–Poiseuille Equation » Diameter of Pipe given Head Loss over Length of Pipe

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< 20 Hagen–Poiseuille Equation Calculators

Diameter of Pipe given Head Loss over Length of Pipe with Discharge

Go Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4)

Dynamic Viscosity given Head Loss over Length of Pipe with Discharge

Go Dynamic Viscosity = Head Loss due to Friction/((128*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))

Length of Pipe given Head Loss over Length of Pipe with Discharge

Go Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))

Head Loss over Length of Pipe given Discharge

Go Head Loss due to Friction = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4)

Diameter of Pipe given Head Loss over Length of Pipe

Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))

Mean Velocity of Flow given Head Loss over Length of Pipe

Go Mean Velocity = Head Loss due to Friction/((32*Dynamic Viscosity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))

Dynamic Viscosity given Head Loss over Length of Pipe

Go Dynamic Viscosity = Head Loss due to Friction/((32*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2))

Length of Pipe given Head Loss over Length of Pipe

Go Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))

Specific Weight of Liquid given Head Loss over Length of Pipe

Go Specific Weight of Liquid = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Head Loss due to Friction*Diameter of Pipe^2)

Head Loss over Length of Pipe

Go Head Loss due to Friction = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Diameter of Pipe^2)

Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge

Go Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)

Dynamic Viscosity given Pressure Drop over Length of Pipe with Discharge

Go Dynamic Viscosity = (pi*Pressure Difference*(Diameter of Pipe^4))/(128*Discharge in pipe*Length of Pipe)

Discharge given Pressure Drop over Length of Pipe

Go Discharge in pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4)))

Length of Pipe given Pressure Drop over Length of Pipe with Discharge

Go Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in pipe)

Pressure Drop over Length of Pipe given Discharge

Go Pressure Difference = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe/(pi*Diameter of Pipe^4))

Diameter of Pipe given Pressure Drop over Length of Pipe

Go Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)

Dynamic Viscosity given Pressure Drop over Length of Pipe

Go Dynamic Viscosity = (Pressure Difference*(Diameter of Pipe^2))/(32*Length of Pipe*Mean Velocity)

Mean Velocity of Flow given Pressure Drop over Length of Pipe

Go Mean Velocity = Pressure Difference/(32*Dynamic Viscosity*Length of Pipe/(Diameter of Pipe^2))

Length of Pipe given Pressure Drop over Length of Pipe

Go Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)

Pressure drop over length of pipe

Go Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

Diameter of Pipe given Head Loss over Length of Pipe Formula

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
D_pipe = sqrt((32*μ_viscosity*V_mean*L_p)/(γ_f*h_location))

What is head loss in fluids?

The head, pressure, or energy (they are the same) lost by water flowing in a pipe or channel as a result of turbulence caused by the velocity of the flowing water and the roughness of the pipe, channel walls, or fittings. Water flowing in a pipe loses head as a result of friction losses.

How to Calculate Diameter of Pipe given Head Loss over Length of Pipe?

Diameter of Pipe given Head Loss over Length of Pipe calculator uses Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)) to calculate the Diameter of Pipe, The Diameter of Pipe given Head Loss over Length of Pipe is defined as width of pipe taken for study. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Head Loss over Length of Pipe using this online calculator? To use this online calculator for Diameter of Pipe given Head Loss over Length of Pipe, enter Dynamic Viscosity (μ_viscosity), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location) and hit the calculate button. Here is how the Diameter of Pipe given Head Loss over Length of Pipe calculation can be explained with given input values -> 0.034041 = sqrt((32*1.02*10.1*0.1)/(9810*1.9)).

FAQ

What is Diameter of Pipe given Head Loss over Length of Pipe?

The Diameter of Pipe given Head Loss over Length of Pipe is defined as width of pipe taken for study and is represented as D_pipe = sqrt((32*μ_viscosity*V_mean*L_p)/(γ_f*h_location)) or Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, Length of Pipe describes the length of the pipe in which the liquid is flowing, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid & 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 over Length of Pipe?

The Diameter of Pipe given Head Loss over Length of Pipe is defined as width of pipe taken for study is calculated using Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction)). To calculate Diameter of Pipe given Head Loss over Length of Pipe, you need Dynamic Viscosity (μ_viscosity), Mean Velocity (V_mean), Length of Pipe (L_p), Specific Weight of Liquid (γ_f) & Head Loss due to Friction (h_location). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, Length of Pipe, Specific Weight of Liquid & 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 Dynamic Viscosity, Mean Velocity, Length of Pipe, Specific Weight of Liquid & Head Loss due to Friction. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)
Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in pipe*Length of Pipe)/(pi*Specific Weight of Liquid*Head Loss due to Friction))^(1/4)

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