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Discharge given Pressure Drop over Length of Pipe Formula

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The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time. Check FAQs

Q = \frac{ΔP}{(128 \cdot μ \cdot \frac{L p}{π \cdot {D pipe}^{4}})}

Q - Discharge in Pipe?ΔP - Pressure Difference?μ - Dynamic Viscosity?L_p - Length of Pipe?D_pipe - Diameter of Pipe?π - Archimedes' constant?

Discharge given Pressure Drop over Length of Pipe Example

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Here is how the Discharge given Pressure Drop over Length of Pipe equation looks like with Values.

Here is how the Discharge given Pressure Drop over Length of Pipe equation looks like with Units.

Here is how the Discharge given Pressure Drop over Length of Pipe equation looks like.

22.5355 = \frac{90}{(128 \cdot 10.2 \cdot \frac{0.1}{3.1416 \cdot {1.01}^{4}})}

22.5355m³/s = \frac{90N/m²}{(128 \cdot 10.2P \cdot \frac{0.1m}{3.1416 \cdot {1.01m}^{4}})}

22.5355 = \frac{90}{(128 \cdot 10.2 \cdot \frac{0.1}{3.1416 \cdot {1.01}^{4}})}

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Discharge given Pressure Drop over Length of Pipe Solution

Follow our step by step solution on how to calculate Discharge given Pressure Drop over Length of Pipe?

FIRST Step Consider the formula

Q = \frac{ΔP}{(128 \cdot μ \cdot \frac{L p}{π \cdot {D pipe}^{4}})}

Next Step Substitute values of Variables

∴

Q = \frac{90N/m²}{(128 \cdot 10.2P \cdot \frac{0.1m}{π \cdot {1.01m}^{4}})}

Next Step Substitute values of Constants

∴

Q = \frac{90N/m²}{(128 \cdot 10.2P \cdot \frac{0.1m}{3.1416 \cdot {1.01m}^{4}})}

Next Step Convert Units

∴

Q = \frac{90Pa}{(128 \cdot 1.02Pa*s \cdot \frac{0.1m}{3.1416 \cdot {1.01m}^{4}})}

Next Step Prepare to Evaluate

∴

Q = \frac{90}{(128 \cdot 1.02 \cdot \frac{0.1}{3.1416 \cdot {1.01}^{4}})}

Next Step Evaluate

∴

Q = 22.5355278936954m³/s

LAST Step Rounding Answer

∴

Q = 22.5355m³/s

Discharge given Pressure Drop over Length of Pipe Formula Elements

Variables

Constants

Discharge in Pipe

The Discharge in Pipe refers to the volume of fluid (such as water) that passes through the pipe per unit of time.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge in Pipe

Pressure Difference

The Pressure Difference refers to the variation in pressure between two points within a fluid or gas, a critical factor in driving fluid motion.

Symbol: ΔP

Measurement: PressureUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Pressure Difference

Dynamic Viscosity

The Dynamic Viscosity refers to the internal resistance of a fluid to flow when a force is applied.

Symbol: μ

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Length of Pipe

The Length of Pipe refers to total length from one end to another in which the liquid is flowing.

Symbol: L_p

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe

Diameter of Pipe

The Diameter of Pipe refers to the diameter of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Hagen Poiseuille Equation category

Go Pressure drop over length of pipe

ΔP = (32 \cdot μ \cdot V mean \cdot \frac{L p}{{D pipe}^{2}})

Go Mean Velocity of Flow given Pressure Drop over Length of Pipe

V mean = \frac{ΔP}{32 \cdot μ \cdot \frac{L p}{{D pipe}^{2}}}

Go Diameter of Pipe given Pressure Drop over Length of Pipe

D pipe = \sqrt{\frac{32 \cdot μ \cdot V mean \cdot L p}{ΔP}}

Go Length of Pipe given Pressure Drop over Length of Pipe

L p = \frac{ΔP \cdot {D pipe}^{2}}{32 \cdot μ \cdot V mean}

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

Discharge given Pressure Drop over Length of Pipe evaluator uses Discharge in Pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4))) to evaluate 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 evaluate Discharge given Pressure Drop over Length of Pipe using this online evaluator? To use this online evaluator 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.

FAQs on Discharge given Pressure Drop over Length of Pipe

What is the formula to find Discharge given Pressure Drop over Length of Pipe?

The formula of Discharge given Pressure Drop over Length of Pipe is expressed as Discharge in Pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4))). Here is an example- 22.53553 = 90/((128*1.02*0.1/(pi*1.01^4))).

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

With Pressure Difference (ΔP), Dynamic Viscosity (μ), Length of Pipe (L_p) & Diameter of Pipe (D_pipe) we can find Discharge given Pressure Drop over Length of Pipe using the formula - Discharge in Pipe = Pressure Difference/((128*Dynamic Viscosity*Length of Pipe/(pi*Diameter of Pipe^4))). This formula also uses Archimedes' constant .

Can the Discharge given Pressure Drop over Length of Pipe be negative?

Yes, the Discharge given Pressure Drop over Length of Pipe, measured in Volumetric Flow Rate can be negative.

Which unit is used to measure Discharge given Pressure Drop over Length of Pipe?

Discharge given Pressure Drop over Length of Pipe is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Discharge given Pressure Drop over Length of Pipe can be measured.

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Discharge given Pressure Drop over Length of Pipe Formula

Discharge given Pressure Drop over Length of Pipe Example

Discharge given Pressure Drop over Length of Pipe Solution

Discharge given Pressure Drop over Length of Pipe Formula Elements

Other formulas in Hagen Poiseuille Equation category

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

FAQs on Discharge given Pressure Drop over Length of Pipe

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