Abstract

The present numerical study is motivated by the analysis of pressure and shear forces that a rarefled supersonic ∞ow exerts on a drop and acts to deform the drop. We use a high-order accurate Cartesian-grid-based numerical scheme and an advanced method for boundary condition treatment to solve the Navier-Stokes equations for high-speed ∞ows around circular and elliptical bodies with difierent aspect ratios that represent difierent stages of the drop deformation. The calculation results depict a strong efiect of the aspect ratio on drag, while predict weaker dependencies of drag on Reynolds and Mach number over the range examined. With the decrease of aspect ratio, the pressure drag increases while the shear drag decreases. Finally, we show that for a flxed Weber number, the corresponding variation of Mach and Reynolds numbers renders minor changes in pressure drag but signiflcantly alter the shear drag.

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