Diameter of Pipe given Pressure Drop over Length of Pipe Calculator

✖The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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%
✖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%
✖Pressure Difference is the difference in pressure intensities at two different points in a liquid.ⓘ 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 [D_pipe]

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Formula

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Diameter of Pipe given Pressure Drop over Length of Pipe

Formula

D pipe = \sqrt{\frac{32 \cdot μ \cdot V mean \cdot L p}{ΔP}}

Example

0.605222 m = \sqrt{\frac{32 \cdot 10.2 P \cdot 10.1 m/s \cdot 0.10 m}{90 N/m²}}

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Diameter of Pipe given Pressure Drop over Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
D_pipe = sqrt((32*μ*V_mean*L_p)/ΔP)
This formula uses 1 Functions, 5 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) - 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.
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) - The Length of Pipe refers to total length from one end to another in which the liquid is flowing.
Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.

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
Pressure Difference: 90 Newton per Square Meter --> 90 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = sqrt((32*μ*V_mean*L_p)/ΔP) --> sqrt((32*1.02*10.1*0.1)/90)

Evaluating ... ...

D_pipe = 0.6052217224566

STEP 3: Convert Result to Output's Unit

0.6052217224566 Meter --> No Conversion Required

FINAL ANSWER

0.6052217224566 ≈ 0.605222 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 Pressure Drop over Length of Pipe

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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 Formula

Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference)
D_pipe = sqrt((32*μ*V_mean*L_p)/ΔP)

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?

Diameter of Pipe given Pressure Drop over Length of Pipe calculator uses Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference) to calculate the Diameter of Pipe, The Diameter of Pipe given Pressure Drop over Length of Pipe is defined as width section of pipe through which the flow occurs. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of Pipe given Pressure Drop over Length of Pipe using this online calculator? To use this online calculator for Diameter of Pipe given Pressure Drop over Length of Pipe, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), 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 calculation can be explained with given input values -> 0.605222 = sqrt((32*1.02*10.1*0.1)/90).

FAQ

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

The Diameter of Pipe given Pressure Drop over Length of Pipe is defined as width section of pipe through which the flow occurs and is represented as D_pipe = sqrt((32*μ*V_mean*L_p)/ΔP) or Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, Mean velocity is defined as the average velocity of a fluid at a point and over an arbitrary time T, The Length of Pipe refers to total length from one end to another in which the liquid is flowing & Pressure Difference is the difference in pressure intensities at two different points in a liquid.

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

The Diameter of Pipe given Pressure Drop over Length of Pipe is defined as width section of pipe through which the flow occurs is calculated using Diameter of Pipe = sqrt((32*Dynamic Viscosity*Mean Velocity*Length of Pipe)/Pressure Difference). To calculate Diameter of Pipe given Pressure Drop over Length of Pipe, you need Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L_p) & Pressure Difference (ΔP). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, 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, Mean Velocity, Length of Pipe & Pressure Difference. We can use 3 other way(s) to calculate the same, which is/are as follows -

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