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Master's Dissertation
DOI
https://doi.org/10.11606/D.43.2002.tde-21062021-142607
Document
Author
Full name
Viviane da Silva Mendes Gonçalves
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2002
Supervisor
Committee
Sartorelli, Jose Carlos (President)
Colli, Eduardo
Malta, Coraci Pereira
Title in Portuguese
Dinâmica da formação de bolhas de ar em fluidos
Keywords in Portuguese
CAOS (SISTEMAS DINÂMICOS)
SISTEMAS DINÂMICOS
Abstract in Portuguese
Estudamos comportamentos caóticos na dinâmica de formação de bolhas de ar em fluidos viscosos tendo o fluxo de ar como parâmetro de controle, para três valores de comprimento da mangueira de alimentação de ar, o que representa uma mudança na dissipação do sistema. Também perturbamos o sistema com uma onda sonora e em alguns casos a amplitude da onda foi usada como parâmetro de controle. Observamos bolhas de bifurcação, primárias e secundárias, crise, explosão/sela-nó e adição de período. Alguns comportamentos puderam ser emulados com o mapa cúbico, com o mapa do círculo bidimensional e com acoplamento deste com o mapa logístico.
Title in English
Dynamics of air bubble formation in fluids
Keywords in English
CHAOS (DYNAMIC SYSTEMS)
DYNAMIC SYSTEMS
Abstract in English
We have studied the chaotic behaviour in air bubble formation into viscous fluid. The air flow was used as the main control parameter, and the system dissipation was selected by using one of the three different lenghts of the air feeding hose. We also applied a sound wave to the system and, in same cases, the sound wave amplitude was used as a paramenter control. We observed primary and secondary bubbling bifurcation, crisis, saddle-node/explosion and period-adding route. Some behaviours were emulated by using the cubic map and the two-dimentional circle map or by coupling the last one with the logistic map.
 
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2002Piassi.pdf (57.94 Mbytes)
Publishing Date
2021-06-24
 
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