Abstract
The effect of incidence on the unsteady laminar flow past an impulsively started, slender elliptic cylinder was studied numerically for the Reynolds numbers ranging between 25 and 600. The DuFort-Frankel scheme and the Buneman algorithm were adopted to solve the system of governing equations in stream-function-vorticity formulation. As a result of the present numerical experiment, we identified five distinct flow regimes: two regimes of steady flow and three regimes of unsteady flow. The two steady flow regimes were demarcated by the presence of a steady separation bubble. The boundary between the two steady regimes was well represented by a simple empirical formula. The three unsteady flow regimes were characterized by the frequency and amplitude of the periodic variations of force coefficients. These five regimes were mapped out in the incidence-Reynolds number plane. The details of flow characteristics pertinent to the respective flow regime are discussed.
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