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Poiseuille's Formula Formula

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Volumetric Flow Rate of Feed to Reactor gives the volume of the reactants stream being fed to the reactor per unit time. Check FAQs

Q v = Δp \cdot \frac{π}{8} \cdot \frac{{r p}^{4}}{μ v \cdot L}

Q_v - Volumetric Flow Rate of Feed to Reactor?Δp - Pressure Changes?r_p - Pipe Radius?μ_v - Dynamic Viscosity?L - Length?π - Archimedes' constant?

Poiseuille's Formula Example

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Here is how the Poiseuille's Formula equation looks like with Values.

Here is how the Poiseuille's Formula equation looks like with Units.

Here is how the Poiseuille's Formula equation looks like.

10.0059 = 3.21 \cdot \frac{3.1416}{8} \cdot \frac{{2.22}^{4}}{1.02 \cdot 3}

10.0059m³/s = 3.21Pa \cdot \frac{3.1416}{8} \cdot \frac{{2.22m}^{4}}{1.02Pa*s \cdot 3m}

10.0059 = 3.21 \cdot \frac{3.1416}{8} \cdot \frac{{2.22}^{4}}{1.02 \cdot 3}

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Poiseuille's Formula Solution

Follow our step by step solution on how to calculate Poiseuille's Formula?

FIRST Step Consider the formula

Q v = Δp \cdot \frac{π}{8} \cdot \frac{{r p}^{4}}{μ v \cdot L}

Next Step Substitute values of Variables

∴

Q v = 3.21Pa \cdot \frac{π}{8} \cdot \frac{{2.22m}^{4}}{1.02Pa*s \cdot 3m}

Next Step Substitute values of Constants

∴

Q v = 3.21Pa \cdot \frac{3.1416}{8} \cdot \frac{{2.22m}^{4}}{1.02Pa*s \cdot 3m}

Next Step Prepare to Evaluate

∴

Q v = 3.21 \cdot \frac{3.1416}{8} \cdot \frac{{2.22}^{4}}{1.02 \cdot 3}

Next Step Evaluate

∴

Q v = 10.0058822882867m³/s

LAST Step Rounding Answer

∴

Q v = 10.0059m³/s

Poiseuille's Formula Formula Elements

Variables

Constants

Volumetric Flow Rate of Feed to Reactor

Volumetric Flow Rate of Feed to Reactor gives the volume of the reactants stream being fed to the reactor per unit time.

Symbol: Q_v

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Volumetric Flow Rate of Feed to Reactor

Pressure Changes

Pressure changes is the difference between the pressure inside the liquid droplet and atmospheric pressure.

Symbol: Δp

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure Changes

Pipe Radius

Pipe Radius is a radial line from the focus to any point of a curve.

Symbol: r_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pipe Radius

Dynamic Viscosity

Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_v

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Length

Length is the measurement or extent of something from end to end.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length

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 Hydrodynamics Basics category

Go Metacentric Height given Time Period of Rolling

H m = \frac{{(K g \cdot π)}^{2}}{{(\frac{T r}{2})}^{2} \cdot [g]}

Go Moment of Momentum Equation

T = ρ 1 \cdot Q \cdot (v 1 \cdot R 1 - v 2 \cdot R 2)

Go Power

P w = F e \cdot Δv

Go Power Developed by Turbine

P T = ρ 1 \cdot Q \cdot V wi \cdot ν t

How to Evaluate Poiseuille's Formula?

Poiseuille's Formula evaluator uses Volumetric Flow Rate of Feed to Reactor = Pressure Changes*pi/8*(Pipe Radius^4)/(Dynamic Viscosity*Length) to evaluate the Volumetric Flow Rate of Feed to Reactor, Poiseuille's Formula is an equation that gives the pressure drop in an incompressible and Newtonian fluid in laminar flow flowing through a long cylindrical pipe of constant cross section. Volumetric Flow Rate of Feed to Reactor is denoted by Q_v symbol.

How to evaluate Poiseuille's Formula using this online evaluator? To use this online evaluator for Poiseuille's Formula, enter Pressure Changes (Δp), Pipe Radius (r_p), Dynamic Viscosity (μ_v) & Length (L) and hit the calculate button.

FAQs on Poiseuille's Formula

What is the formula to find Poiseuille's Formula?

The formula of Poiseuille's Formula is expressed as Volumetric Flow Rate of Feed to Reactor = Pressure Changes*pi/8*(Pipe Radius^4)/(Dynamic Viscosity*Length). Here is an example- 10.47345 = 3.21*pi/8*(2.22^4)/(1.02*3).

How to calculate Poiseuille's Formula?

With Pressure Changes (Δp), Pipe Radius (r_p), Dynamic Viscosity (μ_v) & Length (L) we can find Poiseuille's Formula using the formula - Volumetric Flow Rate of Feed to Reactor = Pressure Changes*pi/8*(Pipe Radius^4)/(Dynamic Viscosity*Length). This formula also uses Archimedes' constant .

Can the Poiseuille's Formula be negative?

No, the Poiseuille's Formula, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Poiseuille's Formula?

Poiseuille's Formula 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 Poiseuille's Formula can be measured.

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Poiseuille's Formula Formula

Poiseuille's Formula Example

Poiseuille's Formula Solution

Poiseuille's Formula Formula Elements

Other formulas in Hydrodynamics Basics category

How to Evaluate Poiseuille's Formula?

FAQs on Poiseuille's Formula

Variable Name