@Article{SeverinoDoniFach:2022:MaMoDi,
               author = "Severino, Matheus de P{\'a}dua and Donini, Mariovane Sabino and 
                         Fachini Filho, Fernando",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)}",
                title = "Mathematical modelling of diffusion flames with continuous 
                         geometric variation between counterflow and coflow regimes",
              journal = "Applied Mathematical Modelling",
                 year = "2022",
               volume = "106",
                pages = "659--381",
                month = "June",
             keywords = "Counterflow-coflow diffusion flame, Double Tsuji burner, 
                         Streamline-flame tangency.",
             abstract = "This work presents a model of diffusion flames that continuously 
                         change from the counterflow regime to the coflow regime. In 
                         addition, the hydrodynamic aspects of this system are examined by 
                         means of scale modelling, asymptotic analysis and numerical 
                         simulation. The continuous change of the flame is imposed by the 
                         flow field, which is the composition of a radial fuel ejection 
                         from a cylindrical porous burner in the middle of two opposed 
                         impinging flows of oxidiser. The counterflow diffusion flame is 
                         located in the axis parallel to the incoming flows and the coflow 
                         diffusion flame, in the axis parallel to the outgoing flow. A 
                         scaling model shows that the flame length depends linearly on the 
                         stoichiometric oxidiser-fuel ratio (S), on the P{\'e}clet number 
                         based on the fuel ejection (Peb) and inversely proportional to the 
                         square root of the P{\'e}clet number based on the impinging flows 
                         (Pec), i.e., the parameter N:=cSPeb/Pec1/2 is appropriate to 
                         measure the flame length (c depends on the flame shape). A 
                         potential flow is assumed to allow analytical investigations of 
                         the flow field and flame properties. The results unveil the 
                         streamlines crossing the flame from the oxidiser side to the fuel 
                         side (oxidiser carried to the flame), up to approximately 60% of 
                         the flame length, and, from the fuel side to the oxidiser side 
                         (oxidiser carried to the flame), from this position to the flame 
                         tip. Moreover, the NavierStokes flow is also assumed in the 
                         analysis and the results show that the potential flow describes 
                         well the diffusion flame in the proposed geometric configuration. 
                         This result corroborates the consistency of the results and the 
                         adequate physical description provided by the potential flow 
                         model.",
                  doi = "10.1016/j.apm.2022.01.019",
                  url = "http://dx.doi.org/10.1016/j.apm.2022.01.019",
                 issn = "0307-904X",
             language = "en",
           targetfile = "Mathematical modelling of diffusion flames with continuous 
                         geometric variation between counterflow and coflow regimes.pdf",
        urlaccessdate = "06 jun. 2024"
}