Journals


Cuñez, F.D. and Franklin, E.M., Mimicking layer inversion in solid-liquid fluidized beds in narrow tubes. Powder Techhnology, accepted
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Alvarez, C.A, Franklin, E.M., Horns of subaqueous barchan dunes: A study at the grain scale. Physical Review E, v. 100, p. 042904, 2019 , https://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.042904


  • Wenzel, J.L. and Franklin, E.M., Velocity fields and particle trajectories for bed load over subaqueous barchan dunes. Granular Matter, v. 21, n. 75, 2019 , https://doi.org/10.1007/s10035-019-0928-0


  • Cuñez, F.D. and Franklin, E.M., Plug regime in water fluidized beds in very narrow tubes. Powder Techhnology, v. 345, p. 234-246, 2019 , https://doi.org/10.1016/j.powtec.2019.01.009


  • Alvarez, C.A., and Franklin, E.M., Role of transverse displacements in the formation of subaqueous barchan dunes. Physical Review Letters, v. 121, n. 164503, 2018 , https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.164503


  • Click here for some movies on barchan dunes


    Chimetta, B.P., Hossain, M.Z. and Franklin, E.M., Numerical solution for Kapitza waves on a thin liquid film. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40:375, 2018 , The final publication is available at Springer via http://dx.doi.org/10.1007/s40430-018-1295-1


  • Oliveira, G.M.M. and Franklin, E.M., Transitions between smooth and rough surfaces in turbulent channel flows for d- and k-type rough elements. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40:187, 2018 , The final publication is available at Springer via http://dx.doi.org/10.1007/s40430-018-1113-9


  • Cuñez, F.D., Oliveira, G.V.G. and Franklin, E.M., Turbulent channel flow perturbed by triangular ripples. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 40:138, 2018 , The final publication is available at Springer via http://dx.doi.org/10.1007/s40430-018-1050-7


  • Alvarez, C.A, Franklin, E.M., Birth of a subaqueous barchan dune. Physical Review E, v. 96, n. 062906, 2017 , https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.062906


  • Alvarez, C.A, Franklin, E.M., Intermittent gravity-driven flow of grains through narrow pipes. Physica A, v. 465, p. 725-741, 2017 , http://dx.doi.org/10.1016/j.physa.2016.08.071


  • Penteado, M.R.M., Franklin, E.M., Velocity fields of a bed-load layer under a turbulent liquid flow. Experimental Thermal and Fluid Science, v. 78, p. 220-228, 2016 , http://dx.doi.org/10.1016/j.expthermflusci.2016.06.013


  • Cardona Florez, J.E., Franklin, E.M., The formation and migration of sand ripples in closed conduits: experiments with turbulent water flows. Experimental Thermal and Fluid Science, v. 71, p. 95-102, 2016, http://dx.doi.org/10.1016/j.expthermflusci.2015.10.017


  • Franklin, E.M., Formation of sand ripples under a turbulent liquid flow. Applied Mathematical Modelling, v. 39, p. 7390-7400, 2015. , http://dx.doi.org/10.1016/j.apm.2015.03.021


  • Franklin, E.M., Alvarez Zambrano, C.A., Length scale of density waves in the gravitational flow of fine grains in pipes. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 37, p. 1507-1513, 2015 , The final publication is available at Springer via http://dx.doi.org/10.1007/s40430-014-0291-3


  • Franklin, E.M., Sand ripples in liquids. ERCOFTAC Bulletin, v. 104, p. 9-13, 2015


  • Franklin, E.M., Figueiredo, F.T., Rosa, E.S.,The feedback effect caused by bed load on a turbulent liquid flow. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 36, p. 725-736, 2014 , The final publication is available at Springer via http://dx.doi.org/10.1007/s40430-013-0122-y


  • Franklin, E.M., Prediction of the bed-load transport by gas-liquid stratified flows in horizontal ducts. Applied Mathematical Modelling, v. 37, p. 5627-5636, 2013 , http://dx.doi.org/10.1016/j.apm.2012.11.013


  • Franklin, E.M., Ayek, G.A.,The perturbation of a turbulent boundary layer by a two-dimensional hill. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 35, p. 337-346, 2013 , The final publication is available at Springer via http://dx.doi.org/10.1007/s40430-013-0024-z


  • Franklin, E.M.,Three-dimensional sand ripples as the product of vortex instability. Applied Mathematical Modelling, v. 37, p. 3193-3199, 2013 , http://dx.doi.org/10.1016/j.apm.2012.07.027


  • Franklin, E.M., Numerical prediction of bed-load and surface deformation on a granular bed sheared by a turbulent boundary-layer. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 34, p. 1-8, 2012 , http://dx.doi.org/10.1590/S1678-58782012000100001


  • Franklin, E.M., Linear and nonlinear instabilities of a granular bed: determination of the scales of ripples and dunes in rivers. Applied Mathematical Modelling, v. 36, p. 1057-1067, 2012 , http://dx.doi.org/10.1016/j.apm.2011.07.058


  • Charru, F., Franklin, E.M., Subaqueous Barchan dunes in turbulent shear flow. Part 2: Fluid flow. Journal of Fluid Mechanics, v. 694, p. 131-154, 2012 , http://dx.doi.org/10.1017/jfm.2011.528


  • Franklin, E.M., Charru, F., Subaqueous Barchan dunes in turbulent shear flow. Part 1: Dune motion. Journal of Fluid Mechanics, v. 675, p. 199-222, 2011 , http://dx.doi.org/10.1017/S0022112011000139


  • Franklin, E.M., Nonlinear instabilities on a granular bed sheared by a turbulent liquid flow. Journal of the Brazilian Society of Mechanical Sciences and Engineering, , v. 33, p. 265-271, 2011 , http://dx.doi.org/10.1590/S1678-58782011000300001


  • Franklin, E.M., Initial instabilities of a granular bed sheared by a turbulent liquid flow: length-scale determination. Journal of the Brazilian Society of Mechanical Sciences and Engineering, v. 32, p. 460-467, 2010 , http://dx.doi.org/10.1590/S1678-58782010000400008


  • Franklin, E.M., Charru, F., Morphology and displacement of dunes in a closed-conduit flow. Powder Technology, v. 190, p. 247-251, 2009 , http://dx.doi.org/10.1016/j.powtec.2008.04.065


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    Book chapters


    Franklin, E.M., The Formation of ripples and dunes on a granular bed sheared by a liquid flow. Sediment Transport: Monitoring, Modeling and Management, Nova Publisher, New York, USA, pp. 1-36, 2013


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    Conferences proceedings


    Cuñez, F.D. and Franklin, E.M., Experimental and numerical investigation of layer inversion in bidisperse solid-liquid fluidized beds in a narrow tube. In: 10th International Conference on Multiphase Flow - ICMF2019, Rio de Janeiro, Brazl, 2019.


    Alvarez, C.A. and Franklin, E.M., A description at the grain scale of the growth of barchan dunes. In: 10th International Conference on Multiphase Flow - ICMF2019, Rio de Janeiro, Brazl, 2019.


    Chimetta, B.P. and Franklin, E.M. Asymptotic solutions for a Carreau-Yasuda film flow driven by gravity over an inclined plane. In: 17th Brazilian Congress of Thermal Sciences and Engineering, 2018, Águas de Lindóia. ENCIT2018, 2018


    Wenzel, J.L. and Franklin, E.M. Velocity fields of grains over barchan dunes. In: 17th Brazilian Congress of Thermal Sciences and Engineering, 2018, Águas de Lindóia. ENCIT2018, 2018


    Cuñez, F.D. and Franklin, E.M. Patterns formed on bi-dispersed solid-liquid fluidized beds in narrow tubes. In: 17th Brazilian Congress of Thermal Sciences and Engineering, 2018, Águas de Lindóia. ENCIT2018, 2018


    Cuñez, F.D. and Franklin, E.M. Experimental investigation of liquid-solid fluidized beds in a narrow tube. In: 17th Brazilian Congress of Thermal Sciences and Engineering, 2018, Águas de Lindóia. ENCIT2018, 2018


    Alvarez, C.A. and Franklin, E.M. Morphology of subaqueous barchan dunes in turbulent shear flow. In: 17th Brazilian Congress of Thermal Sciences and Engineering, 2018, Águas de Lindóia. ENCIT2018, 2018


    Oliveira, G.M.M. and Franklin, E.M. Boundary Layer Transition From Smooth To Rough Walls. In: 17th Brazilian Congress of Thermal Sciences and Engineering, 2018, Águas de Lindóia. ENCIT2018, 2018


    Alvarez, C.A. and Franklin, E.M., Experimental study on the formation of subaqueous barchan dunes in closed conduit. In: Experimental fluid mechanics 2017- EFM2017, Mikulov, Czech Republic, 2017


    Cuñez, F.D., Oliveira, G.V.G. and Franklin, E.M., Experimental investigation of turbulent flows over two-dimensional triangular ripples. In: Experimental fluid mechanics 2017- EFM2017, Mikulov, Czech Republic, 2017


    Alvarez, C.A. and Franklin, E.M., Experimental study on the formation of barchan dunes in closed conduits. In: 9th World Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics - ExHFT9, Foz do Iguaçu, Brazil, 2017


    Cuñez, F.D., Oliveira, G.V.G. and Franklin, E.M., Experimental investigation of turbulent flows over two-dimensional triangular ripples.In: 9th World Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics - ExHFT9, Foz do Iguaçu, Brazil, 2017


    Oliveira, G.M.M. and Franklin, E.M., Boundary layer transition from smooth to rough walls. In: 9th World Conference on Experimental Heat Transfer, Fluid Mechanics and Thermodynamics - ExHFT9, Foz do Iguaçu, Brazil, 2017


    Chimetta, B.P. and Franklin, E.M., Asymptotic and numerical solutions of the orr-sommerfeld equation for a thin liquid film on an inclined plane In: IV Journeys in Multiphase Flows - JEM2017, Sao Paulo, Brazil, 2017


    Alvarez, C.A. and Franklin, E.M., Gravity-driven flow of grains through pipes: a one-dimensional model In: IV Journeys in Multiphase Flows - JEM2017, Sao Paulo, Brazil, 2017


    Alvarez, C.A. and Franklin, E.M., Formation and morphology of subaqueous Barchan dunes In: 24th ABCM International Congress of Mechanical Engineering - COBEM2017, Curitiba, Brazil, 2017


    Cuñez, F.D. and Franklin, E.M., Perturbation of a turbulent channel flow by a two-dimensional triangular ripple In: 24th ABCM International Congress of Mechanical Engineering - COBEM2017, Curitiba, Brazil, 2017


    Chimetta, B.P. and Franklin, E.M., Numerical solutions of the Orr-Sommerfeld equation for a thin liquid film on an inclined plane In: CNMAC2017 - Congresso Nacional de Matemática Aplicada e Computacional, Sao Jose dos Campos, Brazil, 2017


    Alvarez Zambrano, C.A. and Franklin, E.M., Density waves in the gravitational flow of grains in narrow pipes In: 24th International Congress of Theoretical and Applied Mechanics - ICTAM2016, Montreal, Canada, 2016

  • (poster)

  • Chimetta, H.P. and Franklin, E.M., Experiments on a closed-conduit flow perturbed by a two-dimensional hill of low aspect ratio In: 24th International Congress of Theoretical and Applied Mechanics - ICTAM2016, Montreal, Canada, 2016


    Cuñez, F.D. and Franklin, E.M., Experiments on the perturbation of a channel flow by a triangular ripple In: 18th International Symposium on the Application of Laser and Imaging Techniques to Fluid Mechanics, Lisbon, Portugal, 2016


    Penteado, M.R.M. and Franklin, E.M., Experiments on incipient bed load under a turbulent stream In: 9th International Conference on Multiphase Flow - ICMF2016, Firenze, Italy, 2016.


    Alvarez Zambrano, C.A. and Franklin, E.M., Density waves in the gravitational flow of granular material in narrow pipes In: 9th International Conference on Multiphase Flow - ICMF2016, Firenze, Italy, 2016.


    Oliveira, G.M.M. and Franklin, E.M., Experiments on turbulent boundary layer over rough elements In: EPTT2016, Sao Jose dos Campos, Brasil, 2016.


    Cuñez,F.D. and Franklin, E.M., Perturbation of a turbulent flow by a triangular hill In: EPTT2016, Sao Jose dos Campos, Brasil, 2016.


    Oliveira, G.M.M. and Franklin, E.M., Experiments on turbulent boundary layer over rough elements In: 16th Brazilian Congress of Thermal Sciences and Engineering - ENCIT2016, Vitória, Brasil, 2016.


    Cuñez,F.D. and Franklin, E.M., Investigation of the turbulent boundary layer perturbed by a triangular ripple In: 16th Brazilian Congress of Thermal Sciences and Engineering - ENCIT2016, Vitória, Brasil, 2016.


    Alvarez Zambrano, C.A. and Franklin, E.M., Imaging processing applied to gravity-driven granular flows through a vertical pipe In: 16th Brazilian Congress of Thermal Sciences and Engineering - ENCIT2016, Vitória, Brasil, 2016.


    Chimetta, B.P. and Franklin, E.M., Asymptotic and numerical solutions of the orr-sommerfeld equation for surface waves on an inclined plane In: 16th Brazilian Congress of Thermal Sciences and Engineering - ENCIT2016, Vitória, Brasil, 2016.


    Chimetta, H.P. and Franklin, E.M., Experimental study on a closed-conduit flow perturbed by a two-dimensional hill In: 16th Brazilian Congress of Thermal Sciences and Engineering - ENCIT2016, Vitória, Brasil, 2016.


    Oliveira, G.V.G. and Franklin, E.M., Experimental determination of a turbulent boundary layer perturbed by two low hills In: 16th Brazilian Congress of Thermal Sciences and Engineering - ENCIT2016, Vitória, Brasil, 2016.


    Chimetta, B.P. and Franklin, E.M., Asymptotic solution of the Orr-Sommerfeld equation for surface waves on an inclined plane In: COBEM2015, Rio de Janeiro, 2015.


    Alvarez Zambrano, C.A. and Franklin, E.M., Experimental study of a granular material falling through a vertical pipe In: COBEM2015, Rio de Janeiro, 2015.


    Florez, J.E.C. and Franklin, E.M, The formation of sand ripples in a turbulent flow. In: 36th IAHR World Congress, The Hague, Netherlands, 2015.


    Penteado, M.R.M., Franklin, E.M., An eulerian approach for bed load determination using a high-speed camera. In: Multiphase Flow Journeys - JEM2015, Campinas-SP, 2015.


    Florez, J.E.C. and Franklin, E.M, Experiments on the instabilities of a granular bed in a turbulent flow. In: Multiphase Flow Journeys - JEM2015, Campinas-SP, 2015.


    Franklin, E.M., Andrade, N.S., Granular Flows in Pressurized Silos: Janssen Effect vs. Hydrostatic Pressure. In: Multiphase Flow Journeys - JEM2015, Campinas-SP, 2015.


    Franklin, E.M., Penteado, M.R.M., Perissinotto, R.M., The motion of grains of a bed-load layer under a turbulent liquid flow. In: 11th International Conference on Hydroscience & Engineering - ICHE2014, Hamburg, Germany, 2014.


    Penteado, M.R.M., Franklin, E.M., Bed load under a turbulent liquid flow. In: ENCIT2014, Belém, 2014.


    Penteado, M.R.M., Franklin, E.M., The influence of shear stress on bed load. In: CONEM2014, Uberlândia, 2014.


    Franklin, E.M., Perissinotto, R.M., The trajectories of individual grains of a moving granular bed. In: 14th Pan-American Congress of Applied Mechanics - PACAM XIV, Santiago, Chile, 2014


    Franklin, E.M., Ayek, G.A., Experimental measurements of a turbulent flow over a low hill. In: COBEM2013, Ribeirão Preto, 2013.


    Franklin, E.M., Ayek, G.A., Turbulent flow over a hill inside a closed conduit. In: 8th World Conference on Experimental Heat Transfer, Fluid Mechanics, and Thermodynamics, Lisbon, Portugal, 2013.


    Figueiredo, F.T., Rosa, E.S., Franklin, E.M., Effects of the granular mobility on a turbulent flow. In: ENCIT2012, 2012, Rio de Janeiro. ENCIT2012. Rio de Janeiro: ABCM, 2012.


    Figueiredo, F.T., Franklin, E.M., Rosa, E.S., The effects of bed-load on a turbulent boundary layer of a liquid. In: EBECEM, 2012, Curitiba. 3rd EBECEM, 2012.


    Franklin, E.M., A numerical code for the prediction of bed-load and of surface instabilities on a granular bed sheared by a turbulent boundary-layer In: Cobem2011, Natal, 2011.


    Figueiredo, F.T., Ayek, G.A., Rosa, E.S., Franklin, E.M., Perturbation of a turbulent liquid flow by the bed-load transport of granular matter In: Cobem2011, Natal, 2011.


    Santos, I.F.S., Franklin, E.M., Silva, A.P.M. The length-scale of dunes in free surface flows: measurements in the Sapucaí river In: Cobem2011, Natal, 2011.


    Franklin, E.M., Bed-forms in rivers: instabilities of a granular bed sheared by a free surface turbulent flow. In: Encit2010, Uberlândia, 2010.


    Franklin, E.M. . The initial instabilities of a granular bed under a turbulent liquid flow. In: 20th International Congress of Mechanical Engineering: Cobem2009, Gramado, 2009


    Franklin, E.M., Perturbation of a turbulent boundary-layer by a barchan dune. In: 20th International Congress of Mechanical Engineering: Cobem2009, Gramado, 2009


    Franklin, E.M., Charru, F., Dune Migration in a Closed-conduit Flow In: International Conference in Multiphase Flow (ICMF2007), Leipzig, Germany, 2007.


    Franklin, E.M., Charru, F., Migration de dunes dans une conduite fermée In: Science et technologie de poudres et poudres et matériaux frittés, Albi, France, 2007.


    Franklin, E.M., Charru, F., Migration de dunes dans une conduite fermée In: Congrès Français de Mécanique, Grenoble, France, 2007.


    Franklin, E.M., Rosa, E.S., Dynamic slug tracking model for horizontal gas-liquid flow In: 3rd International Symposium on Two-Phase Flow Modelling and Experimentation, Pisa, Italy, 2004.


    Franklin, E.M., Rosa, E.S., Bubble dynamic segments numeric modeling in horizontal gas-liquid intermittent flow In: Cobem2003, São Paulo, 2003.