On an attempt to simplify the Quartapelle–Napolitano approach to computation of hydrodynamic forces in open flows |
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Authors: | B Protas |
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Institution: | aDepartment of Mathematics and Statistics, McMaster University, Hamilton, Ont., Canada |
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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 Quartapelle–Napolitano formula is in fact “optimal” within this class of approaches. |
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Keywords: | Navier– Stokes equation Hydrodynamic forces Variational methods |
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