2007
DOI: 10.1016/j.jfluidstructs.2007.05.002
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On an attempt to simplify the Quartapelle–Napolitano approach to computation of hydrodynamic forces in open flows

Abstract: In this paper we are interested in the Quartapelle-Napolitano approach to calculation of forces in viscous incompressible flows in exterior domains. We study the possibility of deriving a simpler formulation of this approach which might lead to a more convenient expression for the hydrodynamic force, but conclude that such a simplification is, within the family of approaches considered, impossible. This shows that the original QuartapelleNapolitano formula is in fact "optimal" within this class of approaches.

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Cited by 3 publications
(4 citation statements)
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“…The main advantage of this method resides in not requiring the computation of the pressure field around the object to determine the forces. However, an accurate vorticity field is needed at the surface of the body to have reliable results (it was proved by Protas (2007) that the contribution from the vorticity at the boundary cannot be in fact eliminated in this approach). While the variational approach has been employed before in numerical studies, the present investigation is to the best of our knowledge its first application to experimental data.…”
Section: Discussionmentioning
confidence: 99%
“…The main advantage of this method resides in not requiring the computation of the pressure field around the object to determine the forces. However, an accurate vorticity field is needed at the surface of the body to have reliable results (it was proved by Protas (2007) that the contribution from the vorticity at the boundary cannot be in fact eliminated in this approach). While the variational approach has been employed before in numerical studies, the present investigation is to the best of our knowledge its first application to experimental data.…”
Section: Discussionmentioning
confidence: 99%
“…Note that accurately capturing the vorticity field next to the body surface is a non-trivial challenge for the above expression. Let us consider the simple fact that, as described by Protas (2007), this above approach rapidly breaks down as vorticity advects away from the body of interest and across the control surface (field of view). To combat this limitation, Quartapelle and Napolitano (1983) developed a clever approach weighting vorticity closest to the body instead.…”
Section: Vorticity Formulationsmentioning
confidence: 99%
“…To combat this limitation, Quartapelle and Napolitano (1983) developed a clever approach weighting vorticity closest to the body instead. Despite attempts to reformulate this approach by Protas (2007), complete information regarding the wall-bounded vorticity around the body of interest is required, thus making the approach impractical for most physical experiments. For some excellent reviews of these diverse vorticity-based methods, the reader is also directed to the works of Protas et al (2000) and Graziani and Bassanini (2002).…”
Section: Vorticity Formulationsmentioning
confidence: 99%
“…To actually measure in vivo fluid forces non-intrusively, engineers invented control volume analysis to (simplify and) integrate the Navier-Stokes equations (Vincenti 1982). If the pressure field cannot be measured, then fluid forces and moments can be determined based on velocity and vorticity fields, which are generally determined either computationally or using particle image velocimetry (PIV) (Protas 2007;Howe 1995;Quartapelle and Napolitano 1983;Ragazzo and Tabak 2007;Magnaudet 2011;Wu 1981). Alternatively, the control volume analysis can be simplified by rewriting it into a control surface analysis (Lentink 2018;Rival and van Oudheusden 2017;Wu et al 2005).…”
Section: Introductionmentioning
confidence: 99%