@MastersThesis{Bianchin:2019:MoDiFl,
author = "Bianchin, Rafael Pereira",
title = "Modelling of the diffusion flame established around multiple
droplets",
school = "Instituto Nacional de Pesquisas Espaciais (INPE)",
year = "2019",
address = "S{\~a}o Jos{\'e} dos Campos",
month = "2019-02-27",
keywords = "combustion, laminar flames, extinction, chamas laminares,
combust{\~a}o, extin{\c{c}}{\~a}o.",
abstract = "A simplified model for the combustion of multiple droplets is
presented under the consideration of unitary Lewis numbers,
infinitely fast chemistry and potential flow, and also the
assumption that the flame is in the transient region (i.e.,
sufficiently far from the droplets). The extinction conditions are
determined from the Large Activation Energy Asymptotics and
studied for several configuration of droplets in axisymmetric
geometry. It was found that the critical Damk{\"o}hler number of
extinction decreases monotonically with time, showing that the
flame becomes more stable with time. It was also seen that the
forced convection makes the flame less stable, but the addition of
other droplets does not affect the extinction, which always occur
around the largest droplet, unless a smaller droplet is added in
the upstream region of a larger droplet, in which case the
extinction can occur around the smaller droplet if the convection
is sufficiently strong. RESUMO: Um modelo simplificado para
combust{\~a}o de m{\'u}ltiplas gotas {\'e} apresentado sob a
considera{\c{c}}{\~a}o de n{\'u}meros de Lewis unit{\'a}rios,
qu{\'{\i}}mica infinitamente r{\'a}pida e escoamento potencial,
e tamb{\'e}m a considera{\c{c}}{\~a}o de que a chama est{\'a}
na regi{\~a}o transiente (isto {\'e}, suficientemente longe das
gotas). As condi{\c{c}}{\~o}es de extin{\c{c}}{\~a}o s{\~a}o
determinadas pela Teoria Assint{\'o}tica de Alta Energia de
Ativa{\c{c}}{\~a}o e estudada para diversas
configura{\c{c}}{\~o}es de gotas em geometria
axissim{\'e}trica. Foi encontrado que o n{\'u}mero de
Damk{\"o}hler cr{\'{\i}}tico de extin{\c{c}}{\~a}o diminui
monotonicamente com o tempo, mostrando que a chama fica mais
est{\'a}vel com o tempo. Tamb{\'e}m percebeu-se que a
convec{\c{c}}{\~a}o for{\c{c}}ada deixa a chama menos
est{\'a}vel, mas que a adi{\c{c}}{\~a}o de outras gotas
n{\~a}o afeta a extin{\c{c}}{\~a}o, que sempre ocorre ao redor
da gota maior, a menos que uma gota menor seja adicionada a
montante da gota maior. Neste caso, a extin{\c{c}}{\~a}o pode
ocorrer ao redor da menor gota se a convec{\c{c}}{\~a}o for
suficientemente forte.",
committee = "Fachini Filho, Fernando (presidente/orientador) and
Mendon{\c{c}}a, M{\'a}rcio Teixeira de and Dourado, Wladimyr
Mattos da Costa and Pereira, Fernando Marcelo",
englishtitle = "Modelagem da chama difusiva estabelecida ao redor de
m{\'u}ltiplas gotas",
language = "en",
pages = "61",
ibi = "8JMKD3MGPDW34P/3SLKLBB",
url = "http://urlib.net/ibi/8JMKD3MGPDW34P/3SLKLBB",
targetfile = "publicacao.pdf",
urlaccessdate = "24 abr. 2024"
}