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)
Lp = (pi*ΔP*Dpipe^4)/(128*μviscosity*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) - Length of Pipe describes the length of the pipe 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.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
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.
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
Lp = (pi*ΔP*Dpipe^4)/(128*μviscosity*Q) --> (pi*90*1.01^4)/(128*1.02*1.000001)
Evaluating ... ...
Lp = 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 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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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))

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

Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in pipe)
Lp = (pi*ΔP*Dpipe^4)/(128*μviscosity*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 Lp 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 (Dpipe), Dynamic Viscosity viscosity) & 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 Lp = (pi*ΔP*Dpipe^4)/(128*μviscosity*Q) or Length of Pipe = (pi*Pressure Difference*Diameter of Pipe^4)/(128*Dynamic Viscosity*Discharge in pipe). Pressure Difference is the difference in pressure intensities at two different points in a liquid, Diameter of Pipe is the diameter of the pipe in which the liquid is flowing, 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.
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 (Dpipe), Dynamic Viscosity viscosity) & 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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