A time dependent model for the transport of heavy pollutants from ground-level aerial sources

摘要

We investigate a time-dependent partial differential equation governing the transport of heavy pollutants (dust) into the atmosphere. Laplace and generalized Hankel transforms are applied in the process of solving the given PDE. Some special cases are considered, representing pollutant flux from the ground surface to the atmosphere as power and exponential functions. Pollutant concentration is expressed in terms of a series of confluent hypergeometric functions of second kind. Some recent results follow as particular cases of the model considered here.