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

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+10% -10%
✖The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.ⓘ Discharge in Pipe [Q]			+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 Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.ⓘ Pressure Difference [ΔP]			+10% -10%

✖The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge [D_pipe]

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Formula

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

Formula

D pipe = {(\frac{128 \cdot μ \cdot Q \cdot L p}{ΔP \cdot π})}^{\frac{1}{4}}

Example

0.463558 m = {(\frac{128 \cdot 10.2 P \cdot 1.000001 m³/s \cdot 0.10 m}{90 N/m² \cdot π})}^{\frac{1}{4}}

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)
D_pipe = ((128*μ*Q*L_p)/(ΔP*pi))^(1/4)
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Discharge in Pipe - (Measured in Cubic Meter per Second) - The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.
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.
Pressure Difference - (Measured in Pascal) - The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.

STEP 1: Convert Input(s) to Base Unit

Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
Discharge in Pipe: 1.000001 Cubic Meter per Second --> 1.000001 Cubic Meter per Second No Conversion Required
Length of Pipe: 0.1 Meter --> 0.1 Meter No Conversion Required
Pressure Difference: 90 Newton per Square Meter --> 90 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = ((128*μ*Q*L_p)/(ΔP*pi))^(1/4) --> ((128*1.02*1.000001*0.1)/(90*pi))^(1/4)

Evaluating ... ...

D_pipe = 0.46355849947092

STEP 3: Convert Result to Output's Unit

0.46355849947092 Meter --> No Conversion Required

FINAL ANSWER

0.46355849947092 ≈ 0.463558 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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< Hagen Poiseuille Equation Calculators

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)

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 Pressure Drop over Length of Pipe with Discharge Formula

Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4)
D_pipe = ((128*μ*Q*L_p)/(ΔP*pi))^(1/4)

What is Pressure Drop ?

Pressure drop is defined as the difference in total pressure between two points of a fluid carrying network. A pressure drop occurs when frictional forces, caused by the resistance to flow, act on a fluid as it flows through the tube.

How to Calculate Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge?

Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge calculator uses Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4) to calculate the Diameter of Pipe, The Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge is defined as width of section of pipe influencing pressure drop. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge using this online calculator? To use this online calculator for Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge, enter Dynamic Viscosity (μ), Discharge in Pipe (Q), Length of Pipe (L_p) & Pressure Difference (ΔP) and hit the calculate button. Here is how the Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge calculation can be explained with given input values -> 0.463558 = ((128*1.02*1.000001*0.1)/(90*pi))^(1/4).

FAQ

What is Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge?

The Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge is defined as width of section of pipe influencing pressure drop and is represented as D_pipe = ((128*μ*Q*L_p)/(ΔP*pi))^(1/4) or Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time, The Length of Pipe refers to total length from one end to another in which the liquid is flowing & The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.

How to calculate Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge?

The Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge is defined as width of section of pipe influencing pressure drop is calculated using Diameter of Pipe = ((128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe)/(Pressure Difference*pi))^(1/4). To calculate Diameter of Pipe given Pressure Drop over Length of Pipe with Discharge, you need Dynamic Viscosity (μ), Discharge in Pipe (Q), Length of Pipe (L_p) & Pressure Difference (ΔP). With our tool, you need to enter the respective value for Dynamic Viscosity, Discharge in Pipe, Length of Pipe & Pressure Difference 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, Discharge in Pipe, Length of Pipe & Pressure Difference. 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 = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/(Specific Weight of Liquid*Head Loss due to Friction))
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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