in Titre de série : | Quarterly journal of mechanics and applied mathematics, QJMAM, Vol.49 No.4 | Titre : | Sudden changes in a potential flow with a free surface due to impact | Type de document : | articles et extraits | Auteurs : | M. J. Cooker, Auteur | Année de publication : | 1996 | Importance : | p.581-591 | Langues : | Français (fre) | Résumé : | The impact of a region of incompressible fluid is modelled by considering the finite change that occurs in the velocity (and hence in the velocity potential) during the short time Delta t of impact. The sudden switch from the initial to the final velocities is characterized by a function of time which is found and shown to be asymptotic to Heaviside's function as Delta t tends to zero. The pressure field, at each point in space, is consequently a transition between two different pressures superimposed on a ""spike"" of high pressure and of duration Delta t, during impact. An appropriate boundary-value problem is posed which enables us to calculate the changes in the fields of potential, velocity and pressure. The work takes into account nonlinear terms, which have previously been neglected in the traditional theory of pressure impulse.
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in Quarterly journal of mechanics and applied mathematics, QJMAM, Vol.49 No.4. Sudden changes in a potential flow with a free surface due to impact [articles et extraits] / M. J. Cooker, Auteur . - 1996 . - p.581-591. Langues : Français ( fre) Résumé : | The impact of a region of incompressible fluid is modelled by considering the finite change that occurs in the velocity (and hence in the velocity potential) during the short time Delta t of impact. The sudden switch from the initial to the final velocities is characterized by a function of time which is found and shown to be asymptotic to Heaviside's function as Delta t tends to zero. The pressure field, at each point in space, is consequently a transition between two different pressures superimposed on a ""spike"" of high pressure and of duration Delta t, during impact. An appropriate boundary-value problem is posed which enables us to calculate the changes in the fields of potential, velocity and pressure. The work takes into account nonlinear terms, which have previously been neglected in the traditional theory of pressure impulse.
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