Subscribe to thousands of academic journals for just $40/month
Read and share the articles you need for your research, all in one place.

Computations for a Nonlinear Theory of Fluid Pressure Impulse

The Quarterly Journal of Mechanics and Applied Mathematics , Volume 54 (4) – Nov 1, 2001

Details

Publisher
Oxford University Press
Copyright
Copyright © 2001 Oxford University Press
ISSN
0033-5614
eISSN
1464-3855
D.O.I.
10.1093/qjmam/54.4.585
Publisher site
See Article on Publisher Site

Preview Only

Expand Tray Hide Tray

Computations for a Nonlinear Theory of Fluid Pressure Impulse

Abstract

During the impact of an ideal fluid on an impermeable surface, the velocity field undergoes a sudden change. For an irrotational flow the sudden change Q in the velocity potential is a harmonic function which satisfies a linear boundary condition on the solid surface of impact. But Q satisfies a nonlinear boundary condition on the free surface position at the instant of impact. Computations are presented which accurately solve the boundary‐value problem for Q in a region of fluid which describes the impact of a water wave on to a section of vertical wall. The fluid has a horizontal free surface at impact. The nonlinear term in the free‐surface boundary condition possesses a coefficient ∈. The results show that the nonlinear term increases the speed at which fluid begins to ascend close to the wall after impact, but this increase tends to zero as ∈ tends to zero. The results show that fluid impact problems can be treated effectively while neglecting the nonlinear convective terms in Euler's equations of ideal flow.
Loading next page...

Preview Only. This article cannot be rented because we do not currently have permission from the publisher.

 
/lp/oxford-university-press/computations-for-a-nonlinear-theory-of-fluid-pressure-impulse-Dr7B0P10Fr