The Large Eddy Simulation (LES) of two-phase flows with resolved scale interfaces is investigated through the a priori filtering of Direct Numerical Simulations (DNS) of one-fluid and multifield models. A phase inversion benchmark [1][2][3][4] is considered highlighting many coalescence and interface rupture events in a kind of atomization process. The order of magnitude of specific two-phase subgrid LES terms is first considered with the two modeling approaches. Then, different existing models such as Smagorinsky [5], Wall-Adapting Local Eddyviscosity (WALE) model [6], Bardina [7], Mixed [8] and Approximate Deconvolution Model (ADM) [9] are used to account for two-phase subgrid effects. These models are compared to filtered DNS results. The main conclusion concerning a priori LES filtering is that the inertia term is not predominant in two-phase flows with fragmentation and rupture of interface. This conclusion is different from that of the studies of [3,[10][11][12][13]. concerning LES models, functional modeling do 1 not correlate to filtered DNS results whereas structural approaches do. Bardina and ADM are clearly the good LES framework to consider for two-phase flows with resolved scale interfaces. ADM is clearly better than Bardina in our study. The authors greatly acknowledge the reviewer for its comments and remarks that have guided us in improving the technical and editorial aspects of the manuscript. From a general point of view, all the comments and remarks recommended by the reviewer have been taken into account. They are highlighted in the text in red. More specifically, we can detail them as follows: COMPUTERS & FLUIDS 1) I would recommend to add the main conclusions to the abstract and to add a separate section conclusions to the paper.In agreement with reviewer remark and in order to improve the fast reading and understanding of the paper, we have included a conclusion part in the abstract. In addition, the last section have been extended to "Summary, conclusion and future work", with addition of conclusions in order to highlight the originality and main results of the work. 2) Abstract : DNS and ADM should be defined.Done. The same has been achieved for the Wall-Adapting Local Eddy-viscosity (WALE) model. 3) A streak of the interface points towards the upper left corner of the box. Is that physical?Yes, this a physical feature of the interface. As we are dealing with liquid-liquid twophase flows, when the light fluid (blue surface) goes to the top part of the cavity under gravity effects, heavy liquid can be trapped near vertical walls or vertical corners, inducing this king of interface topology.4) The sentence "Among the few existing …" seems to have a grammar mistake. Detailed Response to ReviewersThis sentence has been rewritten as follows "Among the few existing references, it is worth mentioning the work on LES formulation for the one-fluid model and subsequent a priori LES filtering of DNS simulations for the estimate of new specific two-phase contributions in the mass, momentu...

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Modeling accurately the energy transfer across the interface in multiphase flows is difficult. To deal with this phenomenon, the derivation of the governing equations for two-phase flows have been formulated. A priori tests are used in order to evaluate the relative magnitude of unclosed LES specific to multiphase flows. There consist in the explicit filtering of 3D Direct Numerical Simulation in order to find LES models appropriated to the different subgrid contributions. In our study, explicit volume filtering and phase weighted filtering have been used in a case of phase separation flow in a cubic closed box between water, the heavier fluid and oil, the lighter fluid, in order to understand the effect of the filtering process on the subgrid contributions

RESUMO:Objetivou-se neste ensaio analisar o conteúdo relativo de água, integridade de danos de membrana e teor de umidade em Ricinus communis L., irrigada com água residuária.O experimento foi conduzido no IFCE -Campus Sobral em esquema fatorial, 4x3 (DIC), sendo quatro tratamentos de água residuária T1=testemunha (água normal), T2-efluente tratado, T3-efluente pós-tratado, T4-esterco+água normal e três horários de coletas de tecidos foliares (06:00, 12:00 e 18:00 horas), com seis repetições. Foram analisados conteúdo relativo de água (CRA%), integridade de danos de membrana (PD%) e percentual de umidade (U%).De acordo com a análise estatística não houve significância nos resultados obtidos, porém os percentuais de CRA mais baixos observados concentraram-se no horário de 12:00 horas (55,33%) no tratamento T3, o maior valor observado se encontra no horário de 06:00 (85,22%) horas no tratamento T2, para o percentual de umidade os resultado mostram que a umidade manteve-se equilibrada de forma que não houve quedas drásticas desse percentual.Os resultados para dano de membrana, em sua maioria, são causados no horário de 12:00 horas. Conclui-se que para o cultivo de mamona com os tratamentos com água residuária em estudo podem não vir a prejudicar a disponibilidade de água para o vegetal, podendo ser

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