Aerodynamic Diameter Calculator

Calculate Aerodynamic Diameter







Formula

The formula to calculate the Aerodynamic Diameter (\(d_a\)) is:

\[ d_a = \sqrt{\frac{18 \cdot St \cdot \mu}{\rho_p \cdot v}} \]

Where:

Definitions

Example

Let's say the Stokes number is 0.5, the air viscosity is 18.27 μPa·s, the particle density is 1000 kg/m³, and the flow velocity is 0.1 m/s. Using the formula:

\[ d_a = \sqrt{\frac{18 \cdot 0.5 \cdot 18.27}{1000 \cdot 0.1}} \]

We get:

\[ d_a \approx 1.28 \text{ μm} \]

So, the aerodynamic diameter is approximately 1.28 μm.

Extended information about "Aerodynamic-Diameter-Calculator"

Activity Median Aerodynamic Diameter

Definition: The activity median aerodynamic diameter (AMAD) is the median aerodynamic diameter of particles in a sample, weighted by their activity.

Formula: \( \text{AMAD} = \left( \frac{\sum (d_i^3 \cdot A_i)}{\sum A_i} \right)^{\frac{1}{3}} \)

Example: \( \text{AMAD} = \left( \frac{(2^3 \cdot 10) + (3^3 \cdot 20)}{10 + 20} \right)^{\frac{1}{3}} \)

Mass Median Aerodynamic Diameter

Definition: The mass median aerodynamic diameter (MMAD) is the median aerodynamic diameter of particles in a sample, weighted by their mass.

Formula: \( \text{MMAD} = \left( \frac{\sum (d_i^3 \cdot m_i)}{\sum m_i} \right)^{\frac{1}{3}} \)

Example: \( \text{MMAD} = \left( \frac{(1^3 \cdot 5) + (4^3 \cdot 15)}{5 + 15} \right)^{\frac{1}{3}} \)

How to Calculate the Diameter

Definition: The diameter of a circle is the distance across the circle through its center.

Formula: \( D = 2r \)

Example: \( D = 2 \times 5 \)

Diameter Length Calculator Formula

Definition: The diameter length calculator formula helps determine the diameter of a circle based on its circumference.

Formula: \( D = \frac{C}{\pi} \)

Example: \( D = \frac{31.4}{3.14159} \)

How to Calculate Average Diameter

Definition: The average diameter is the mean diameter of a set of circular objects.

Formula: \( \text{Average Diameter} = \frac{\sum d_i}{n} \)

Example: \( \text{Average Diameter} = \frac{5 + 6 + 7}{3} \)

Formula for Calculating Diameter

Definition: The formula for calculating the diameter of a circle involves its radius or circumference.

Formula: \( D = 2r \) or \( D = \frac{C}{\pi} \)

Example: \( D = 2 \times 4 \) or \( D = \frac{25.12}{3.14159} \)