Knudsen Number Calculator

✖The Mean Free Path of Molecule is the average distance an object will move between collisions.ⓘ Mean Free Path of Molecule [λ]			+10% -10%
✖The characteristic length of flow is a dimension like diameter is related as characteristic length.ⓘ Characteristic Length of Flow [L]			+10% -10%

✖Knudsen number is a non-dimensional number used to describe the degree of departure from continuum.ⓘ Knudsen Number [Kn]

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Formula

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Knudsen Number

Formula

Kn = \frac{λ}{L}

Example

0.001818 = \frac{0.0002 m}{110 mm}

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Knudsen Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow
Kn = λ/L
This formula uses 3 Variables

Variables Used

Knudsen Number - Knudsen number is a non-dimensional number used to describe the degree of departure from continuum.
Mean Free Path of Molecule - (Measured in Meter) - The Mean Free Path of Molecule is the average distance an object will move between collisions.
Characteristic Length of Flow - (Measured in Meter) - The characteristic length of flow is a dimension like diameter is related as characteristic length.

STEP 1: Convert Input(s) to Base Unit

Mean Free Path of Molecule: 0.0002 Meter --> 0.0002 Meter No Conversion Required
Characteristic Length of Flow: 110 Millimeter --> 0.11 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Kn = λ/L --> 0.0002/0.11

Evaluating ... ...

Kn = 0.00181818181818182

STEP 3: Convert Result to Output's Unit

0.00181818181818182 --> No Conversion Required

FINAL ANSWER

0.00181818181818182 ≈ 0.001818 <-- Knudsen Number

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Introduction to Fluid Mechanics Basics » Fluid Mechanics Basics » Knudsen Number

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< Fluid Mechanics Basics Calculators

Equation of Continuity for Compressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2*Density 2)/(Cross-Sectional Area at Point 1*Density 1)

Equation of Continuity for Incompressible Fluids

Go Velocity of the fluid at 1 = (Cross-Sectional Area at Point 2*Velocity of the fluid at 2)/Cross-Sectional Area at Point 1

Cavitation Number

Go Cavitation number = (Pressure-Vapour Pressure)/(Mass Density*(Fluid Velocity^2)/2)

Bulk Modulus given Volume Stress and Strain

Go Bulk Modulus = Volume Stress/Volumetric Strain

Knudsen Number Formula

Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow
Kn = λ/L

What is knudsen number?

It is a non-dimensional quantity which describes the degree of departure from the continuum.

How to Calculate Knudsen Number?

Knudsen Number calculator uses Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow to calculate the Knudsen Number, The Knudsen number (Kn) is a dimensionless number defined as the ratio of the molecular mean free path length to a representative physical length scale. Knudsen Number is denoted by Kn symbol.

How to calculate Knudsen Number using this online calculator? To use this online calculator for Knudsen Number, enter Mean Free Path of Molecule (λ) & Characteristic Length of Flow (L) and hit the calculate button. Here is how the Knudsen Number calculation can be explained with given input values -> 0.001364 = 0.0002/0.11.

FAQ

What is Knudsen Number?

The Knudsen number (Kn) is a dimensionless number defined as the ratio of the molecular mean free path length to a representative physical length scale and is represented as Kn = λ/L or Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow. The Mean Free Path of Molecule is the average distance an object will move between collisions & The characteristic length of flow is a dimension like diameter is related as characteristic length.

How to calculate Knudsen Number?

The Knudsen number (Kn) is a dimensionless number defined as the ratio of the molecular mean free path length to a representative physical length scale is calculated using Knudsen Number = Mean Free Path of Molecule/Characteristic Length of Flow. To calculate Knudsen Number, you need Mean Free Path of Molecule (λ) & Characteristic Length of Flow (L). With our tool, you need to enter the respective value for Mean Free Path of Molecule & Characteristic Length of Flow 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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