Pressure Drop over Length of Pipe given Discharge 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 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 [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 given Discharge [ΔP]

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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*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) - 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.
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.
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)
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*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 00.007 seconds)

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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))

Pressure Drop over Length of Pipe given Discharge Formula

LaTeX Go

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

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