Equilibrium Capillary Surfaces by Robert Finn

By Robert Finn

Capillarity phenomena are all approximately us; somebody who has noticeable a drop of dew on a plant leaf or the spray from a waterfall has saw them. except their usually remarked poetic traits, phenomena of this kind are so regular as to flee designated realize. during this experience the increase of liquid in a slender tube is a extra dramatic occasion that calls for and before everything defied rationalization; recorded observations of this and related take place­ rences may be traced again to instances of antiquity, and for loss of expla­ kingdom got here to be defined by way of phrases deriving from the Latin be aware "capillus", which means hair. It used to be now not till the eighteenth century that an information constructed that those and plenty of different phenomena are all manifestations of a few­ factor that occurs at any time when diversified fabrics are positioned adjoining to one another and don't combine. If one (at least) of the fabrics is a fluid, which kinds with one other fluid (or fuel) a unfastened floor interface, then the interface can be often called a capillary surface.

Show description

Read or Download Equilibrium Capillary Surfaces PDF

Best intelligence & semantics books

Cambrian Intelligence: The Early History of the New AI

This booklet is a suite of the "best" / such a lot pointed out Brooks papers. essentially it covers what's thought of the middle of papers that obtained behaviour dependent robotics rolling. just about all papers have seemed as magazine papers past and this is often only a handy choice of those. For somebody engaged on cellular robotics those papers are a needs to.

Recent Advances in AI Planning: 4th European Conference on Planning, ECP'97, Toulouse, France, September 24 - 26, 1997, Proceedings

This booklet constitutes the refereed court cases of the 4th eu convention on making plans, ECP'97, held in Toulouse, France, in September 1997. The 35 revised complete papers awarded have been conscientiously reviewed and chosen from ninety submissions. the diversity of themes lined spans all points of present man made intelligence making plans, from theoretical and foundational issues to genuine making plans of structures and functions in quite a few parts.

Artificial Intelligence: Its Scope and Limits

This sequence will contain monographs and collections of experiences dedicated to the research and exploration of information, info, and knowledge­ processing platforms of every kind, irrespective of no matter if human, (other) animal, or computing device. Its scope is meant to span the total diversity of pursuits from classical difficulties within the philosophy of brain and philosophical psycholo­ gy via matters in cognitive psychology and sociobiology (concerning the psychological functions of different species) to rules relating to synthetic in­ telligence and to machine technological know-how.

Application of Evolutionary Algorithms for Multi-objective Optimization in VLSI and Embedded Systems

This ebook describes how evolutionary algorithms (EA), together with genetic algorithms (GA) and particle swarm optimization (PSO) can be used for fixing multi-objective optimization difficulties within the quarter of embedded and VLSI procedure layout. Many complicated engineering optimization difficulties could be modelled as multi-objective formulations.

Additional resources for Equilibrium Capillary Surfaces

Example text

We now ask the question: suppose a small amount of liquid is removed symmetrically Ji'om a sessile drop. Does the resulting drop lie strictly interior to the original one? We consider here only the case 0 < }' :s; n12. We parametrize the solutions once more by uo, and consider solutions u =u(r; u o) and uJ=u(r; u o +6), with 6>0. Let vO(r; uo)=uo-b; then VO(O; uo)=u(O; 11 0) and (r sin Iji)r= Kru b (r sin I/l)r= Kru. Thus r(sinl/l"-sinlp)=K J>. (u b -lI)dp, from which we conclude (UO - u) is increasing in r.

And it follows that the volume of the spherical cap exceeds "Y. 23 a). 23b). 3. '1 = n. The statement was proved for the range 0 < l/J S; nl2 in Chapter 2. 7)). Since duldl/J>O on OO on n/2

S,n, for any choice of u a > o. U niq ueness is thus proved. 4. 3. The envelope. 5. 3), F(lj;)=ti cos lj; -,:sin lj;=0. Since, as shown above, Ii> 0, /; < 0 on 0 < lj; ~ n, there can be no envelope points on 0

Download PDF sample

Rated 4.15 of 5 – based on 23 votes