Aerodynamic Diameter

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Aerodynamic diameter is commonly applied to particulate pollutants and inhaled drugs to predict where in the respiratory tract such particles will deposit.

Drug particles for pulmonary delivery are typically characterized by aerodynamic diameter rather than geometric diameter. The velocity at which the drug settles is proportional to the aerodynamic diameter, d<sub>a</sub>.

- <math>d_a = d_e(frac)^=d_s(frac)^</math>

- <math> d_e</math>= equivalent volume diameter
- <math> d_s</math>= Stokes’s equivalent diameter
- <math> rho_0</math> = standard particle density (1g/cc).
- <math> rho_p</math> = particle material density
- <math> rho_b</math> = bulk material density (less than <math>rho_p</math> if porosity)
- <math> chi</math> = shape factor.

For spherical species, χ = 1.

Aerodynamic diameter is the diameter of a sphere of unit density (1g/cc) that has the same gravitational settling velocity as the particle in question.

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