Shapes of liquid drops obtained using symbolic computation
نویسندگان
چکیده
منابع مشابه
Symbolic computation of the Duggal transform
Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...
متن کاملCoalescence of Liquid Drops
When two drops of radius R touch, surface tension drives an initially singular motion which joins them into a bigger drop with smaller surface area. This motion is always viscously dominated at early times. We focus on the early-time behavior of the radius rm of the small bridge between the two drops. The flow is driven by a highly curved meniscus of length 2πrm and width ∆ ≪ rm around the brid...
متن کاملSymbolic Computation of Derivations Using Labeled Trees
This paper discusses the effective symbolic computation of operators under composition. Examples include differential operators under composition and vector fields under the Lie bracket. Such operators in general do not commute, but are often rewritten in terms of other operators which do commute. If the original expression enjoys a certain symmetry, then naive rewriting requires the computatio...
متن کاملCheap Computation of Optimal Reduced Models Using Symbolic Computation
Many methods have been proposed for the reduction of single-variable and multi-variable systems having ordinary denominators and those having delays in their numerators and denominators. In this paper, an algorithm for this purpose is proposed that can be easily used by anybody with not too advanced knowledge of mathematics yielding optimal reduced models. This algorithm makes use of the symbol...
متن کاملViewpoint The many shapes of spinning drops
Liquids, such as water or oil, can form droplets that are held together by surface tension—a cohesive force that causes the surface of many liquids to behave as an elastic membrane. Because liquid droplets are fairly simple to study and control under different conditions, they have fascinated experimentalists and theoreticians—including Laplace, Gauss, Poincarè, Chandrasekhar, Bohr, and Wheeler...
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: Journal of Symbolic Computation
سال: 2005
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2005.05.008