Correlations for inclined prolates based on highly resolved simulations. (25th October 2020)

• Record Type: Journal Article
• Authors: Fröhlich, Konstantin; Meinke, Matthias; Schröder, Wolfgang
• Is Part Of: Journal of fluid mechanics. Volume 901(2020)
• Publication Date: 2020-10-25
• Subjects: multiphase flow, -- particle/fluid flow; Fluid mechanics -- Periodicals; 532.005
• DOI: 10.1017/jfm.2020.482
• Languages: English
• ISSNs: 0022-1120

Abstract

Abstract: Abstract : Efficient solution-adaptive simulations are conducted by a Cartesian cut-cell method to analyse the flow field of prolate ellipsoids in uniform flow. The parameter space defined by Reynolds numbers $1 \leq Re \leq 100$, aspect ratios $1 \leq \beta \leq 8$ and inclination angles $0^\circ \leq \phi \leq 90^\circ$ is covered by approximately 4400 simulations. Flow visualizations and skin friction distributions are presented for selected configurations. Aspect ratios $1\leq \beta \lesssim 3$ are identified as transitional geometries to fibres. For $\beta \gtrsim 3$, the flow topology is qualitatively unaffected by higher aspect ratios. If the major axis is aligned with the free stream, i.e. $\phi = 0^\circ$, the ellipsoids are slender bodies, whereas for $\phi = 90^\circ$ a bluff body flow is observed. Conditions for the onset of flow separation are reported. The data base is used to determine correlations for drag, lift and torque. The correlations are incorporated into dynamic equations for ellipsoidal Lagrangian models and limitations are discussed.