Naslov
On Water Fractals in Natural Implosion Context

Autori
Jurendić, Tomislav ; Pavuna, Davor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
From Solid State to BioPhysics VI

Mjesto i datum
Cavtat, Hrvatska, 09.06.2012. - 16.06.2012

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
water; implosion; vortex; fractals

Sažetak
Fractal geometry (Mandelbrot, 1983) as a geometry of nature provides a solid platform for the analysis of many natural phenomena, and therefore for the study of dynamic water systems. Water molecule as a natural, non-linear and irregular shaped object shows typical fractal properties. In liquid water, the water molecule does not propagate isolated, but in clusters (Chaplin, 2009) showing other important fractal property, self-similarity. Following the latest discoveries of properties of water (Pollack, 2010 ; see also his abstract in this conference), it seems natural to use the fractal geometry methods in the context of natural water flow and promising implosion engineering. As illustrated, each fractal in the pipe has its own fractal surface (AF), fractal volume (VF) or more generally fractal dimension (D). AFWS represents all hydrogen and oxygen atoms on the water surface (well structured, non-smooth, dynamic, coherent) The core object in fluid dynamics is no longer a sphere, cylinder or cube, as a part of the water system, but rather the water fractal, which is natural, self-similar and fits nicely the real situation. Developing appropriate mathematical models to describe water fractals behavior in implosion process, by using fractal geometry, should a good basis for understanding the mass, heat and the momentum transfer in the whole system. We argue that such closed hydrodynamical system of a finite mass, and from mathematical point of view, a finite collection of clusters (fractals), should lead to the development of a set of differential equations. Solutions of these equations (work in progress) could then be identified by trajectories in the phase space, as shown by Lorenz (1963).

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Fizika, Prehrambena tehnologija

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