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

✖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 [D_pipe]			+10% -10%
✖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 given Pressure Drop over Length of Pipe with Discharge [L_p]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Pressure Difference: 90 Newton per Square Meter --> 90 Pascal (Check conversion here)
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = (pi*ΔP*D_pipe^4)/(128*μ*Q) --> (pi*90*1.01^4)/(128*1.02*1.000001)

Evaluating ... ...

L_p = 2.253550535819

STEP 3: Convert Result to Output's Unit

2.253550535819 Meter --> No Conversion Required

FINAL ANSWER

2.253550535819 ≈ 2.253551 Meter <-- Length of Pipe

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow Equations » Hagen Poiseuille Equation » Length of Pipe given Pressure Drop over Length of Pipe with Discharge

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< Hagen Poiseuille Equation Calculators

Diameter of Pipe given Pressure Drop over Length of Pipe

LaTeX 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

LaTeX 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

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

Pressure drop over length of pipe

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

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

LaTeX Go

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

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

Length of Pipe given Pressure Drop over Length of Pipe with Discharge calculator uses Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe) to calculate the Length of Pipe, The Length of Pipe given Pressure Drop over Length of Pipe with Discharge is defined as total length of stream flow. Length of Pipe is denoted by L_p symbol.

How to calculate Length of Pipe given Pressure Drop over Length of Pipe with Discharge using this online calculator? To use this online calculator for Length of Pipe given Pressure Drop over Length of Pipe with Discharge, enter Pressure Difference (ΔP), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ) & Discharge in Pipe (Q) and hit the calculate button. Here is how the Length of Pipe given Pressure Drop over Length of Pipe with Discharge calculation can be explained with given input values -> 2.253551 = (pi*90*1.01^4)/(128*1.02*1.000001).

FAQ

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

The Length of Pipe given Pressure Drop over Length of Pipe with Discharge is defined as total length of stream flow and is represented as L_p = (pi*ΔP*D_pipe^4)/(128*μ*Q) or Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe). The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion, The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing, 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.

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

The Length of Pipe given Pressure Drop over Length of Pipe with Discharge is defined as total length of stream flow is calculated using Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in Pipe). To calculate Length of Pipe given Pressure Drop over Length of Pipe with Discharge, you need Pressure Difference (ΔP), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ) & Discharge in Pipe (Q). With our tool, you need to enter the respective value for Pressure Difference, Diameter of Pipe, Dynamic Viscosity & Discharge in Pipe 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 Length of Pipe?

In this formula, Length of Pipe uses Pressure Difference, Diameter of Pipe, Dynamic Viscosity & Discharge in Pipe. We can use 3 other way(s) to calculate the same, which is/are as follows -

Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity)
Length of Pipe = Head Loss due to Friction/((32*Dynamic Viscosity*Mean Velocity)/(Specific Weight of Liquid*Diameter of Pipe^2))
Length of Pipe = Head Loss due to Friction/((128*Dynamic Viscosity*Discharge in Pipe)/(pi*Specific Weight of Liquid*Diameter of Pipe^4))

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