The integration of solution of Equations ((1), (2)) over the spatial domain gives the droplet/aerosol volume concentration survive in air at any time t. If N 0 is the total number of particles released at time t = 0, then the mean residence time of the expiratory droplets in air is prescribed as,
The definition of residence time is more general compared to the lifetime definition used in single exponential decay expressions. In the latter case, the mean residence time refers to time required to decrease 1/e th of original concentration, equivalent to ~63% removal in the single exponential decay process. Equation (3) is a measure of multi‐exponential decay due to various processes acting on the removal/survival of the expiratory droplets.
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