caa a22 4500 397572395 CHVBK 20180308164845.0 cr unu---uuuuu 161202e199611 xx s 000 0 eng 10.1093/qjmam/49.4.581 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.4.581 COOKER MARK J. School of Mathematics, University of East Anglia, Norwich NR4 7TJ SUDDEN CHANGES IN A POTENTIAL FLOW WITH A FREE SURFACE DUE TO IMPACT [Elektronische Daten] [MARK J. COOKER] 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 Δt 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 Δt 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 Δt, 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. © Oxford University Press Articles nationallicence The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/4(1996-11), 581-591 0033-5614 49:4<581 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.4.581 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.4.581 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- COOKER MARK J. School of Mathematics, University of East Anglia, Norwich NR4 7TJ NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/4(1996-11), 581-591 0033-5614 49:4<581 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford