A Variational Characterization of Fluid Sloshing with Surface Tension
نویسندگان
چکیده
منابع مشابه
A Variational Characterization of Fluid Sloshing with Surface Tension
Sloshing refers to the free surface motion of a fluid in a container. We study the linearized sloshing problem of an incompressible, inviscid, irrotational fluid in a container, where we focus on the regime where the effect of surface tension dominates the effect of gravity. This is especially important in the microgravity environment, where scientists and engineers have worked to improve our u...
متن کاملA Variational Characterization of Fluid Sloshing with Surface Tension | SIAM Journal on Applied Mathematics | Vol. 77, No. 3 | Society for Industrial and Applied Mathematics
We consider the sloshing problem for an incompressible, inviscid, irrotational fluid in an open container, including effects due to surface tension on the free surface. We restrict ourselves to a constant contact angle and seek time-harmonic solutions of the linearized problem, which describes the time-evolution of the fluid due to a small initial disturbance of the surface at rest. As opposed ...
متن کاملTransient Response of Sloshing Fluid in a Three Dimensional Tank
Sloshing waves in moving tanks have been studied numerically, theoretically and experimentally in the past several decades. Most reported studies have been for tanks excited by forcing motion in a limited number of directions and with fixed excitation frequencies throughout the forcing. In the present study, a time-independent finite difference method is used to simulate fluid sloshing in the t...
متن کاملBifurcation in a variational problem on a surface with a constraint
We describe a variational problem on a surface under a constraintof geometrical character. Necessary and sufficient conditions for the existence ofbifurcation points are provided. In local coordinates the problem corresponds toa quasilinear elliptic boundary value problem. The problem can be consideredas a physical model for several applications referring to continuum medium andmembranes.
متن کامل3d Fully Nonlinear Sloshing Fluid in Tanks
Three-dimensional tank in smooth tank is of concern in various engineering applications. Sloshing waves in moving tanks have been studied numerically, theoretically and experimentally in past several decades and many significant phenomena have been considered in those studies, especially the linear and nonlinear effects of sloshing wave with inviscid or viscid liquid in a tank. The reported stu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2017
ISSN: 0036-1399,1095-712X
DOI: 10.1137/16m1104330