FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Pressure Drop over Length of Pipe given Discharge Formula

GoPressure drop over length of pipe Formula

Fx Copy

LaTeX Copy

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

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

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

Pressure Drop over Length of Pipe given Discharge Example

With values

With units

Only example

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

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

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

3.9937 = (128 \cdot 10.2 \cdot 1 \cdot \frac{0.1}{3.1416 \cdot {1.01}^{4}})

3.9937N/m² = (128 \cdot 10.2P \cdot 1m³/s \cdot \frac{0.1m}{3.1416 \cdot {1.01m}^{4}})

3.9937 = (128 \cdot 10.2 \cdot 1 \cdot \frac{0.1}{3.1416 \cdot {1.01}^{4}})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Pressure Drop over Length of Pipe given Discharge

Pressure Drop over Length of Pipe given Discharge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔP = (128 \cdot 10.2P \cdot 1m³/s \cdot \frac{0.1m}{π \cdot {1.01m}^{4}})

Next Step Substitute values of Constants

∴

ΔP = (128 \cdot 10.2P \cdot 1m³/s \cdot \frac{0.1m}{3.1416 \cdot {1.01m}^{4}})

Next Step Convert Units

∴

ΔP = (128 \cdot 1.02Pa*s \cdot 1m³/s \cdot \frac{0.1m}{3.1416 \cdot {1.01m}^{4}})

Next Step Prepare to Evaluate

∴

ΔP = (128 \cdot 1.02 \cdot 1 \cdot \frac{0.1}{3.1416 \cdot {1.01}^{4}})

Next Step Evaluate

∴

ΔP = 3.99369788116562Pa

Next Step Convert to Output's Unit

∴

ΔP = 3.99369788116562N/m²

LAST Step Rounding Answer

∴

ΔP = 3.9937N/m²

Pressure Drop over Length of Pipe given Discharge Formula Elements

Variables

Constants

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

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

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 to find Pressure Difference

Go Pressure drop over length of pipe

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

Other formulas in Hagen Poiseuille Equation category

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}

Go Dynamic Viscosity given Pressure Drop over Length of Pipe

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

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

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

FAQs on Pressure Drop over Length of Pipe given Discharge

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

The formula of Pressure Drop over Length of Pipe given Discharge is expressed as Pressure Difference = (128*Dynamic Viscosity*Discharge in Pipe*Length of Pipe/(pi*Diameter of Pipe^4)). Here is an example- 3.993698 = (128*1.02*1.000001*0.1/(pi*1.01^4)).

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

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

What are the other ways to Calculate Pressure Difference?

Here are the different ways to Calculate Pressure Difference-

Pressure Difference=(32*Dynamic Viscosity*Mean Velocity*Length of Pipe/(Diameter of Pipe^2))

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

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

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

Pressure Drop over Length of Pipe given Discharge is usually measured using the Newton per Square Meter[N/m²] for Pressure. Pascal[N/m²], Kilopascal[N/m²], Bar[N/m²] are the few other units in which Pressure Drop over Length of Pipe given Discharge can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Pressure Drop over Length of Pipe given Discharge Formula

​GoPressure drop over length of pipe Formula

Pressure Drop over Length of Pipe given Discharge Example

Pressure Drop over Length of Pipe given Discharge Solution

Pressure Drop over Length of Pipe given Discharge Formula Elements

Other Formulas to find Pressure Difference

Other formulas in Hagen Poiseuille Equation category

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

FAQs on Pressure Drop over Length of Pipe given Discharge

Variable Name

GoPressure drop over length of pipe Formula