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%
✖The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.ⓘ 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%
✖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 Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.ⓘ Pressure drop over length of pipe [ΔP]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Laminar Flow Formula PDF PDF Image

Pressure drop over length of pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))
ΔP = (32*μ*V_mean*L_p/(D_pipe^2))
This formula uses 5 Variables

Variables Used

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.
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) - The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.
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.
Diameter of Pipe - (Measured in Meter) - The Diameter of Pipe refers to 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)
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
Diameter of Pipe: 1.01 Meter --> 1.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔP = (32*μ*V_mean*L_p/(D_pipe^2)) --> (32*1.02*10.1*0.1/(1.01^2))

Evaluating ... ...

ΔP = 32.3168316831683

STEP 3: Convert Result to Output's Unit

32.3168316831683 Pascal -->32.3168316831683 Newton per Square Meter (Check conversion here)

FINAL ANSWER

32.3168316831683 ≈ 32.31683 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 Equations » Hagen Poiseuille Equation » Pressure drop over length of pipe

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Calculator and 700+ more calculators!

< 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))

Pressure drop over length of pipe Formula

LaTeX Go

Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))
ΔP = (32*μ*V_mean*L_p/(D_pipe^2))

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?

Pressure drop over length of pipe calculator uses Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2)) to calculate the Pressure Difference, The Pressure drop over length of pipe 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 using this online calculator? To use this online calculator for Pressure drop over length of pipe, enter Dynamic Viscosity (μ), Mean Velocity (V_mean), 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 calculation can be explained with given input values -> 32.31683 = (32*1.02*10.1*0.1/(1.01^2)).

FAQ

What is Pressure drop over length of pipe?

The Pressure drop over length of pipe is defined as difference in pressure at two section of pipe over the flow stream and is represented as ΔP = (32*μ*V_mean*L_p/(D_pipe^2)) or Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2)). The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, The Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel, The Length of Pipe refers to total length from one end to another in which the liquid is flowing & The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.

How to calculate Pressure drop over length of pipe?

The Pressure drop over length of pipe is defined as difference in pressure at two section of pipe over the flow stream is calculated using Pressure Difference = (32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2)). To calculate Pressure drop over length of pipe, you need Dynamic Viscosity (μ), Mean Velocity (V_mean), Length of Pipe (L_p) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Dynamic Viscosity, Mean Velocity, 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, Mean Velocity, Length of Pipe & Diameter of Pipe. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search