Advanced Transport Phenomena

Catalog description

Fundamentals of fluid flow are examined on a differential scale. Local differential equations governing fluid flow are derived from their corresponding integral forms using classical integral theorems. The form of these equations in various coordinate systems is examined. Exact solutions of differential equations are considered under both steady state and transient conditions, as are typical approximations to those equations such as creeping, potential, lubrication, and boundary layer flows. The theoretical basis of these approximations are unified via asymptotic theory. Forces on surfaces are determined by coupling differential velocity and pressure fields with appropriate integral representations.