Discharge given Pressure Drop over Length of Pipe Calculator

✖Pressure Difference is the difference in pressure intensities at two different points in a liquid.ⓘ Pressure Difference [ΔP]			+10% -10%
✖The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.ⓘ Dynamic Viscosity [μ_viscosity]			+10% -10%
✖Length of Pipe describes the length of the pipe in which the liquid is flowing.ⓘ Length of Pipe [L_p]			+10% -10%
✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of Pipe [D_pipe]			+10% -10%

✖Discharge in pipe is the rate of flow of a liquid.ⓘ Discharge given Pressure Drop over Length of Pipe [Q]

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Formula

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Discharge given Pressure Drop over Length of Pipe

Formula

`"Q" = "ΔP"/((128*"μ"_{"viscosity"}*"L"_{"p"}/(pi*"D"_{"pipe"}^4)))`

Example

`"22.53553m³/s"="90N/m²"/((128*"10.2P"*"0.10m"/(pi*("1.01m")^4)))`

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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_viscosity*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) - Discharge in pipe is the rate of flow of a liquid.
Pressure Difference - (Measured in Pascal) - Pressure Difference is the difference in pressure intensities at two different points in a liquid.
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.
Length of Pipe - (Measured in Meter) - Length of Pipe describes the length of the pipe in which the liquid is flowing.
Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is 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_viscosity*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 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Laminar Flow » Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law » Hagen–Poiseuille Equation » Discharge given Pressure Drop over Length of Pipe

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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))

Discharge given Pressure Drop over Length of Pipe Formula

Discharge in pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4)))
Q = ΔP/((128*μ_viscosity*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_viscosity), 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_viscosity*L_p/(pi*D_pipe^4))) or Discharge in pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4))). Pressure Difference is the difference in pressure intensities at two different points in a liquid, The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied, Length of Pipe describes the length of the pipe in which the liquid is flowing & Diameter of Pipe is 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_viscosity), 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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