Pressure Drop over Length of Pipe given Discharge 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%
✖Discharge in pipe is the rate of flow of a liquid.ⓘ Discharge in pipe [Q]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖Pressure Difference is the difference in pressure intensities at two different points in a liquid.ⓘ Pressure Drop over Length of Pipe given Discharge [ΔP]

⎘ Copy

👎

Formula

✖

Pressure Drop over Length of Pipe given Discharge

Formula

`"ΔP" = (128*"μ"_{"viscosity"}*"Q"*"L"_{"p"}/(pi*"D"_{"pipe"}^4))`

Example

`"3.993698N/m²"=(128*"10.2P"*"1.000001m³/s"*"0.10m"/(pi*("1.01m")^4))`

Calculator

LaTeX

Reset

👍

Download Laminar Flow Formula PDF

Pressure Drop over Length of Pipe given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.
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.
Discharge in pipe - (Measured in Cubic Meter per Second) - Discharge in pipe is the rate of flow of a liquid.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

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
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP = (128*μ_viscosity*Q*L_p/(pi*D_pipe^4)) --> (128*1.02*1.000001*0.1/(pi*1.01^4))

Evaluating ... ...

ΔP = 3.99369788116562

STEP 3: Convert Result to Output's Unit

3.99369788116562 Pascal -->3.99369788116562 Newton per Square Meter (Check conversion here)

FINAL ANSWER

3.99369788116562 ≈ 3.993698 Newton per Square Meter <-- Pressure Difference

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Hagen–Poiseuille Equation » Pressure Drop over Length of Pipe given Discharge

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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))

Pressure Drop over Length of Pipe given Discharge Formula

Pressure Difference = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe/(pi*Diameter of Pipe^4))
ΔP = (128*μ_viscosity*Q*L_p/(pi*D_pipe^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 Pressure Drop over Length of Pipe given Discharge?

Pressure Drop over Length of Pipe given Discharge calculator uses Pressure Difference = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe/(pi*Diameter of Pipe^4)) to calculate the Pressure Difference, The Pressure Drop over Length of Pipe given discharge is defined as difference in pressure at two section of pipe over the flow stream. Pressure Difference is denoted by ΔP symbol.

How to calculate Pressure Drop over Length of Pipe given Discharge using this online calculator? To use this online calculator for Pressure Drop over Length of Pipe given Discharge, enter Dynamic Viscosity (μ_viscosity), Discharge in pipe (Q), Length of Pipe (L_p) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Pressure Drop over Length of Pipe given Discharge calculation can be explained with given input values -> 3.993698 = (128*1.02*1.000001*0.1/(pi*1.01^4)).

FAQ

What is Pressure Drop over Length of Pipe given Discharge?

The Pressure Drop over Length of Pipe given discharge is defined as difference in pressure at two section of pipe over the flow stream and is represented as ΔP = (128*μ_viscosity*Q*L_p/(pi*D_pipe^4)) or Pressure Difference = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe/(pi*Diameter of Pipe^4)). The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Discharge in pipe is the rate of flow of a liquid, Length of Pipe describes the length of the pipe in which the liquid is flowing & Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

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

The Pressure Drop over Length of Pipe given discharge is defined as difference in pressure at two section of pipe over the flow stream is calculated using Pressure Difference = (128*Dynamic Viscosity*Discharge in pipe*Length of Pipe/(pi*Diameter of Pipe^4)). To calculate Pressure Drop over Length of Pipe given Discharge, you need Dynamic Viscosity (μ_viscosity), Discharge in pipe (Q), Length of Pipe (L_p) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Dynamic Viscosity, Discharge in pipe, Length of Pipe & Diameter of 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 Pressure Difference?

In this formula, Pressure Difference uses Dynamic Viscosity, Discharge in pipe, Length of Pipe & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search