Discharge 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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.ⓘ Dynamic Viscosity [μ]			+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 Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.ⓘ Discharge given Pressure Drop over Length of Pipe [Q]

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Discharge given Pressure Drop over Length of Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Pressure Difference: 90 Newton per Square Meter --> 90 Pascal (Check conversion here)
Dynamic Viscosity: 10.2 Poise --> 1.02 Pascal Second (Check conversion here)
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

Q = ΔP/((128*μ*L_p/(pi*D_pipe^4))) --> 90/((128*1.02*0.1/(pi*1.01^4)))

Evaluating ... ...

Q = 22.5355278936954

STEP 3: Convert Result to Output's Unit

22.5355278936954 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

22.5355278936954 ≈ 22.53553 Cubic Meter per Second <-- Discharge in Pipe

(Calculation completed in 00.020 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))

Discharge given Pressure Drop over Length of Pipe Formula

LaTeX Go

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

What is discharge Q ?

Discharge Q, is the volume of water in cubic feet passing a flow section per unit time, usually measured in cubic feet per second (ft3/s).

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

Discharge given Pressure Drop over Length of Pipe calculator uses Discharge in Pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4))) to calculate the Discharge in Pipe, The Discharge given Pressure Drop over Length of Pipe is defined as amount of liquid flowing through pipe. Discharge in Pipe is denoted by Q symbol.

How to calculate Discharge given Pressure Drop over Length of Pipe using this online calculator? To use this online calculator for Discharge given Pressure Drop over Length of Pipe, enter Pressure Difference (ΔP), Dynamic Viscosity (μ), Length of Pipe (L_p) & Diameter of Pipe (D_pipe) and hit the calculate button. Here is how the Discharge given Pressure Drop over Length of Pipe calculation can be explained with given input values -> 22.53553 = 90/((128*1.02*0.1/(pi*1.01^4))).

FAQ

What is Discharge given Pressure Drop over Length of Pipe?

The Discharge given Pressure Drop over Length of Pipe is defined as amount of liquid flowing through pipe and is represented as Q = ΔP/((128*μ*L_p/(pi*D_pipe^4))) or Discharge in Pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4))). 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 Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied, 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 Discharge given Pressure Drop over Length of Pipe?

The Discharge given Pressure Drop over Length of Pipe is defined as amount of liquid flowing through pipe is calculated using Discharge in Pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4))). To calculate Discharge given Pressure Drop over Length of Pipe, you need Pressure Difference (ΔP), Dynamic Viscosity (μ), Length of Pipe (L_p) & Diameter of Pipe (D_pipe). With our tool, you need to enter the respective value for Pressure Difference, Dynamic Viscosity, 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.

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