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Knudsen Number Formula

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The Knudsen Number is a dimensionless quantity that characterizes the relative importance of molecular mean free path to a characteristic length scale in fluid flow. Check FAQs

Kn = \frac{λ}{L}

Kn - Knudsen Number?λ - Mean Free Path of Molecule?L - Characteristic Length of Flow?

Knudsen Number Example

With values

With units

Only example

Here is how the Knudsen Number equation looks like with Values.

Here is how the Knudsen Number equation looks like with Units.

Here is how the Knudsen Number equation looks like.

0.0018 = \frac{0.0002}{110}

0.0018 = \frac{0.0002m}{110mm}

0.0018 = \frac{0.0002}{110}

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Knudsen Number Solution

Follow our step by step solution on how to calculate Knudsen Number?

FIRST Step Consider the formula

Kn = \frac{λ}{L}

Next Step Substitute values of Variables

∴

Kn = \frac{0.0002m}{110mm}

Next Step Convert Units

∴

Kn = \frac{0.0002m}{0.11m}

Next Step Prepare to Evaluate

∴

Kn = \frac{0.0002}{0.11}

Next Step Evaluate

∴

Kn = 0.00181818181818182

LAST Step Rounding Answer

∴

Kn = 0.0018

Knudsen Number Formula Elements

Variables

Knudsen Number

The Knudsen Number is a dimensionless quantity that characterizes the relative importance of molecular mean free path to a characteristic length scale in fluid flow.

Symbol: Kn

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Knudsen Number

Mean Free Path of Molecule

The Mean Free Path of Molecule is the average distance a molecule travels between collisions with other molecules in a fluid.

Symbol: λ

Measurement: WavelengthUnit: m

Note: Value should be greater than 0.

Formulas to find Mean Free Path of Molecule

Characteristic Length of Flow

The Characteristic Length of Flow is a representative length scale used to analyze fluid flow behavior and its effects on the surrounding environment.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Characteristic Length of Flow

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V 1 = \frac{A 2 \cdot V 2 \cdot ρ 2}{A 1 \cdot ρ 1}

Go Equation of Continuity for Incompressible Fluids

V 1 = \frac{A 2 \cdot V 2}{A 1}

How to Evaluate Knudsen Number?

Knudsen Number evaluator uses Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow to evaluate the Knudsen Number, Knudsen Number formula is defined as a dimensionless quantity that characterizes the relative importance of molecular mean free path to a characteristic length scale in a fluid flow. It helps in understanding the behavior of gases in rarefied conditions and is crucial in various engineering applications. Knudsen Number is denoted by Kn symbol.

How to evaluate Knudsen Number using this online evaluator? To use this online evaluator for Knudsen Number, enter Mean Free Path of Molecule (λ) & Characteristic Length of Flow (L) and hit the calculate button.

FAQs on Knudsen Number

What is the formula to find Knudsen Number?

The formula of Knudsen Number is expressed as Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow. Here is an example- 0.001818 = 0.0002/0.11.

How to calculate Knudsen Number?

With Mean Free Path of Molecule (λ) & Characteristic Length of Flow (L) we can find Knudsen Number using the formula - Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow.

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Knudsen Number Formula

Knudsen Number Example

Knudsen Number Solution

Knudsen Number Formula Elements

Other formulas in Fluid Mechanics Basics category

How to Evaluate Knudsen Number?

FAQs on Knudsen Number

Variable Name