@InProceedings{KokubunFach:2011:AsAnDi,
               author = "Kokubun, Max Akira Endo and Fachini, Fernando Filho",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)}",
                title = "Asymptotic analysis of a diffusion flame in a porous medium",
            booktitle = "Anais...",
                 year = "2011",
         organization = "Congresso de Matem{\'a}tica Aplicada e Computacional da 
                         Regi{\~a}o Sudeste, 1.",
             keywords = "combustion, diffusion flames, porous medium.",
             abstract = "In the present work, the aspects of a diffusion flame established 
                         inside a porous medium are analyzed. A stream of hot oxidant is 
                         injected into the porous matrix and it impinges on a pool of 
                         liquid fuel. The liquid fuel evaporates and in the region in which 
                         the mass fluxes are in a stoichiometric proportion the flame is 
                         established. A low porosity medium is assumed and the gas is 
                         considered incompressible. In this analysis, a low volatile fuel 
                         is considered, such that the vaporization rate is small. This work 
                         is analyzed through the Schvab-Zeldovich formulation, in terms of 
                         the mixture fraction and of the excess enthalpy variables in order 
                         to eliminate the strong non-linear reaction term from the 
                         conservation equations. Own to the nature of the flow, boundary 
                         layers are observed in the problem. With the aid of the asymptotic 
                         theory these boundary layers are analyzed separately. Hence, the 
                         perturbation method is utilized in each boundary layer to obtain 
                         the relevant profiles, so as the flame position and its 
                         temperature, both eigenvalues of the problem.",
  conference-location = "Uberl{\^a}ndia/MG",
      conference-year = "2011",
                label = "lattes: 5057744732830759 1 KokubunFach:2011:AsAnDi",
             language = "en",
           targetfile = "kokubun_asymptotic.pdf",
        urlaccessdate = "03 maio 2024"
}