Banca de DEFESA: Ghylherme Patriota Nunes da Rocha

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : Ghylherme Patriota Nunes da Rocha
DATE: 21/03/2024
TIME: 10:00
LOCAL: PPGMAT
TITLE:

PLATEAU-RAYLEIGH INSTABILITY IN MAGNETIC FLUIDS

KEY WORDS:

MAGNETIC FLUIDS, CONSERVATION LAWS, METHOD OF LINES, DROP FORMATION

PAGES: 96
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This work addresses the Plateau-Rayleigh instability problem, initially describing fundamen-
tal concepts, the equations to be dealt with, and the numerical methods used. Subsequently,
the linear problem analyzed by Rosensweig (1985) is discussed, which describes the problem
under the influence of a magnetic field, without considering specific aspects of jet geometry,
and considering inviscid flow. Next, we adopt an asymptotic approach, considering very thin
jets, and we will have the cases: inviscid without magnetism, viscous without magnetism,
inviscid with magnetism, and viscous with magnetism. The results of linear theory for the
asymptotic model are compared with Rosensweig’s results, evaluating the effects of viscosity
and magnetism on droplet formation. In these cases, the magnetic fluid is considered to be
superparamagnetic. Finally, we will consider the nonlinear evolution for long times and study
the profiles obtained in these same cases.

COMMITTEE MEMBERS:
Interno - 3158033 - MA TO FU
Externo à Instituição - ROBERTO RIBEIRO SANTOS JUNIOR - UFPR
Externo ao Programa - 3375759 - TAYGOARA FELAMINGO DE OLIVEIRA - nullPresidente - 1700664 - YURI DUMARESQ SOBRAL