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@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/rep/8JMKD3MGPDW34P/3SLKLBB",
           targetfile = "publicacao.pdf",
        urlaccessdate = "29 nov. 2020"
}


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