Length of Pipe given Pressure Drop over Length of Pipe 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 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 given Pressure Drop over Length of Pipe [L_p]

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Length of Pipe given Pressure Drop over Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

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)
Mean Velocity: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_p = (ΔP*D_pipe^2)/(32*μ*V_mean) --> (90*1.01^2)/(32*1.02*10.1)

Evaluating ... ...

L_p = 0.278492647058824

STEP 3: Convert Result to Output's Unit

0.278492647058824 Meter --> No Conversion Required

FINAL ANSWER

0.278492647058824 ≈ 0.278493 Meter <-- Length of Pipe

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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 Formula

LaTeX Go

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

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?

Length of Pipe given Pressure Drop over Length of Pipe calculator uses Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity) to calculate the Length of Pipe, The Length of Pipe given Pressure Drop over Length of Pipe 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 using this online calculator? To use this online calculator for Length of Pipe given Pressure Drop over Length of Pipe, enter Pressure Difference (ΔP), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ) & Mean Velocity (V_mean) and hit the calculate button. Here is how the Length of Pipe given Pressure Drop over Length of Pipe calculation can be explained with given input values -> 0.278493 = (90*1.01^2)/(32*1.02*10.1).

FAQ

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

The Length of Pipe given Pressure Drop over Length of Pipe is defined as total length of stream flow and is represented as L_p = (ΔP*D_pipe^2)/(32*μ*V_mean) or Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity). 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 Mean Velocity refers to the average speed at which fluid flows through a given cross-sectional area of a pipe or channel.

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

The Length of Pipe given Pressure Drop over Length of Pipe is defined as total length of stream flow is calculated using Length of Pipe = (Pressure Difference*Diameter of Pipe^2)/(32*Dynamic Viscosity*Mean Velocity). To calculate Length of Pipe given Pressure Drop over Length of Pipe, you need Pressure Difference (ΔP), Diameter of Pipe (D_pipe), Dynamic Viscosity (μ) & Mean Velocity (V_mean). With our tool, you need to enter the respective value for Pressure Difference, Diameter of Pipe, Dynamic Viscosity & Mean Velocity 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 & Mean Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -

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