Erick de Moraes Franklin

Current Students and Post-docs

Douglas Carvalho Supervision PhD thesis (ongoing): The motion of an intruder within granular matter Selected Publications Carvalho, D.D., Lima, N.C., Franklin, E.M., Impact craters formed by spinning granular projectiles. Physical Review E, 108, 054904, 2023 [Selected as "Featured"] Carvalho, D.D., Lima, N.C., Franklin, E.M., Roles of packing fraction, microscopic friction, and projectile spin in cratering by impact. Physical Review E, 107, 044901, 2023 Carvalho, D.D., Franklin, E.M., Collaborative behavior of intruders moving amid grains. Physics of Fluids, 34, 123306, 2022 [Selected as "Featured"] Carvalho, D.D., Lima, N.C., Franklin, E.M., Contacts, motion and chain-breaking in a two-dimensional granular system displaced by an intruder. Physical Review E, v.105, 034903, 2022 Carvalho, D.D., Lima, N.C., Franklin, E.M. Motion of a solid body within a granular medium. In: 26th International Congress of Mechanical Engineering - COBEM2021, 2021, Florianópolis (online), Brazil, 2021 Carvalho, D.D., Franklin, E.M. Locomotion of an intruder within granular media. In: 19th Brazilian Congress of Thermal Sciences and Engineering - ENCIT2022, 2022, Bento Gonçalves, Brazil, 2022

Karlo Rocha Supervision PhD thesis (ongoing): Instabilities of a fluidized bed Selected Publications Rocha, K.F., Cúñez, F.D. and Franklin, E.M., Gas-solid fluidized beds in narrow tubes. In: 26th International Congress of Mechanical Engineering - COBEM2021, 2021, Florianópolis (online), Brazil, 2021 Rocha, K.F., Cúñez, F.D. and Franklin, E.M., Determining the granular temperature of gas fluidized beds in narrow tubes. In: 18th Brazilian Congress of Thermal Sciences and Engineering, 2020, Bento Gonçalves (online). ENCIT2020, Brazil, 2020 Rocha, K.F., Cúñez, F.D. and Franklin, E.M., Numerical investigation of gas-solid fluidized beds in narrow tubes. In: COBEM2019, Uberlandia, 2019

Carlos Alvarez Supervision MSc thesis: Gravity-driven granular flows in narrow tubes PhD thesis: Barchan dunes under turbulent flows Selected Publications Lima, N.C. Assis, W.R., Alvarez, C.A., Franklin, E.M., Grain-scale computations of barchan dunes. Physics of Fluids, 34, 123320, 2022 [Selected as "Featured"] Alvazez, C.A., Cúñez, F.D. and Franklin, E.M., Growth of barchan dunes of bidispersed granular mixtures. Physics of Fluids, 33, 051705, 2021 [Selected as "Featured"] Alvarez, C.A, Franklin, E.M.,Force distribution within a barchan dune. Physics of Fluids, 33, 013313, 2021 Alvarez, C.A, Franklin, E.M.,Shape evolution of numerically obtained subaqueous barchan dunes. Physical Review E, v. 101, p. 012905, 2020 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 Alvarez, C.A, Franklin, E.M., Role of transverse displacements in the formation of subaqueous barchan dunes. Physical Review Letters, v. 121, n. 164503, 2018 Alvarez, C.A, Franklin, E.M., Birth of a subaqueous barchan dune. Physical Review E, v. 96, n. 062906, 2017 Alvarez, C.A, Franklin, E.M., Intermittent gravity-driven flow of grains through narrow pipes. Physica A, v. 465, p. 725-741, 2017 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 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

David Cúñez Homepage click here Supervision MSc thesis: Perturbation of a channel flow by a triangular ripple PhD thesis: Fluidized beds in narrow tubes Selected Publications Bidisperse beds sheared by viscous fluids: Grain segregation and bed hardening. Physics of Fluids, 35, 103326, 2023 Cúñez, Franklin, E.M., Miniaturized gas-solid fluidized beds. Mechanics Research Communications, v. 131, 104146, 2023 Assis, W.R., Cúñez, F.D., Franklin, E.M. Revealing the intricate dune-dune interactions of bidisperse barchans. Journal of Geophysical Research: Earth Surface, 127, e2021JF006588, 2022 Cúñez, F.D., Franklin, E.M., Houssais, M., Arratia, P., Jerolmack, D.J., Strain hardening by sediment transport. Physical Review Research, vol. 4, L022055, 2022 Alvazez, C.A., Cúñez, F.D. and Franklin, E.M., Growth of barchan dunes of bidispersed granular mixtures. Physics of Fluids, 33, 051705, 2021 [Selected as "Featured"] Cúñez, F.D., Lima, N.C. and Franklin, E.M., Motion and clustering of bonded particles in narrow solid-liquid fluidized beds. Physics of Fluids, 33, 023303, 2021 [Editor's Pick] Cúñez, F.D. and Franklin, E.M., Crystallization and jamming in narrow fluidized beds. Physics of Fluids, 32, 083303, 2020 [Editor's Pick] Cúñez, F.D. and Franklin, E.M., Mimicking layer inversion in solid-liquid fluidized beds in narrow tubes. Powder Technology, v. 364, p. 994-1008, 2020 Cúñez, F.D. and Franklin, E.M., Plug regime in water fluidized beds in very narrow tubes. Powder Technology, v. 345, p. 234-246, 2019 Cúñez, 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

Nicolao Lima Supervision Post-doctoral position Selected Publications Carvalho, D.D., Lima, N.C., Franklin, E.M., Impact craters formed by spinning granular projectiles. Physical Review E, 108, 054904, 2023 [Selected as "Featured"] Carvalho, D.D., Lima, N.C., Franklin, E.M., Roles of packing fraction, microscopic friction, and projectile spin in cratering by impact. Physical Review E, 107, 044901, 2023 Lima, N.C. Assis, W.R., Alvarez, C.A., Franklin, E.M., Grain-scale computations of barchan dunes. Physics of Fluids, 34, 123320, 2022 [Selected as "Featured"] Carvalho, D.D., Lima, N.C., Franklin, E.M., Contacts, motion and chain-breaking in a two-dimensional granular system displaced by an intruder. Physical Review E, v.105, 034903, 2022 Schnorr Filho, E.A., Lima, N.C., Franklin, E.M., Resolved CFD-DEM simulations of the hydraulic conveying of coarse grains through a very-narrow elbow. Powder Technology, v. 395, p. 811-821, 2022. Cúñez, F.D., Lima, N.C. and Franklin, E.M., Motion and clustering of bonded particles in narrow solid-liquid fluidized beds. Physics of Fluids, 33, 023303, 2021 [Editor's Pick] Carvalho, D.D., Lima, N.C., Franklin, E.M. Motion of a solid body within a granular medium. In: 26th International Congress of Mechanical Engineering - COBEM2021, 2021, Florianópolis (online), Brazil, 2021 Oliveira, V.P.S., Cúñez, F.D., Lima, N.C. and Franklin, E.M., Numerical simulation of hydraulic conveying of solid particles through a narrow elbow. In: 26th International Congress of Mechanical Engineering - COBEM2021, 2021, Florianópolis (online), Brazil, 2021 Schnorr Filho, E. A., Lima, N.C. and Franklin, E.M., Numerical simulation of hydraulic conveying through a narrow elbow. In: 18th Brazilian Congress of Thermal Sciences and Engineering, 2020, Bento Gonçalves (online). ENCIT2020, Brazil, 2020

Bruno Chimetta Supervision MSc thesis: Numerical and Asymptotic solutions of the Orr-Sommerfeld equation for Kapitza waves PhD thesis: Instabilitites of a liquid film of a non-Newtonian fluid Selected Publications Chimetta, B.P. and Franklin, E.M., A robust numerical strategy for finding surface waves in flows of non-Newtonian liquids. Journal of Non-Newtonian Fluid Mechanics, v. 332, 105153, 2023 Chimetta, B.P. and Franklin, E.M., An analytical comprehensive solution for the superficial waves appearing in gravity-driven flows of liquid films. Zeitschrift für angewandte Mathematik und Physik, v. 71, 122, 2020 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 Chimetta, B.P. and Franklin, E.M., Asymptotic analysis for a Carreau-Yasuda fluid driven by gravity over an inclined plane. In: 18th Brazilian Congress of Thermal Sciences and Engineering, 2020, Bento Gonçalves (online). ENCIT2020, Brazil, 2020 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 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 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, 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

Elmar Anton Schnorr Filho Supervision MSc thesis: Hydraulic conveying of coarse grains through a narrow elbow (co-advisor: Nicolao Cerqueira Lima) Selected Publications Schnorr Filho, E.A., Lima, N.C., Franklin, E.M., Resolved CFD-DEM simulations of the hydraulic conveying of coarse grains through a very-narrow elbow. Powder Technology, v. 395, p. 811-821, 2022. Schnorr Filho, E. A., Lima, N.C. and Franklin, E.M., Numerical simulation of hydraulic conveying of solid particles through a narrow elbow. In: 26th International Congress of Mechanical Engineering - COBEM2021, 2021, Florianópolis (online), Brazil, 2021 Schnorr Filho, E. A., Lima, N.C. and Franklin, E.M., Numerical simulation of hydraulic conveying through a narrow elbow. In: 18th Brazilian Congress of Thermal Sciences and Engineering, 2020, Bento Gonçalves (online). ENCIT2020, Brazil, 2020

Marcos Penteado Supervision MSc thesis: Velocities and displacemente fields of bed load under a turbulent water flow Selected Publications 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 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 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 Penteado, M.R.M., Franklin, E.M., Bed load under a turbulent liquid flow. In: ENCIT2014, Belem, 2014 Penteado, M.R.M., Franklin, E.M., The influence of shear stress on bed load. In: CONEM2014, Uberlandia, 2014

João Wenzel Supervision MSc thesis: The velocity fields of grains over a barchan dune Selected Publications 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 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

Eduar Cardona Supervision MSc thesis: The formation of ripples under a turbulent water flow Selected Publications 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 Cardona Florez, J.E. and Franklin, E.M, The formation of sand ripples in a turbulent flow. In: 36th IAHR World Congress, The Hague, Netherlands, 2015 Cardona Florez, J.E. and Franklin, E.M, Experiments on the instabilities of a granular bed in a turbulent flow. In: Multiphase Flow Journeys - JEM2015, Campinas-SP, 2015

Gabriel Meletti Supervision MSc thesis: Transitions between smooth and rough surfaces in turbulent channel flows Selected Publications 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 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 Oliveira, G.M.M. and Franklin, E.M., Experiments on turbulent boundary layer over rough elements 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

Gabriel Oliveira Supervision MSc thesis: The perturbation of a turbulent channel flow by a sequence of ripples Selected Publications Cúñez, 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, accepted. Cúñez, 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 Cúñez, 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.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

Fabíola Figueiredo Supervision MSc thesis: The feedback effect of bed load under a water flow Selected Publications 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 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

Guilherme Ayek Supervision Undergraduate final project: The perturbation of a turbulent boundary layer by a ripple Selected Publications 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 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 Franklin, E.M., Ayek, G.A., Experimental measurements of a turbulent flow over a low hill. In: COBEM2013, Ribeirão Preto, 2013