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Original Articles

Instabilities, Fingering and the Saffman - Taylor Problem in Filtration Combustion

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Pages 293-341 | Received 06 Sep 1997, Accepted 19 Feb 1998, Published online: 25 Apr 2007

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Read on this site (7)

Sergey A. Rashkovskiy. (2018) Diffusion mechanism of fingering in smolder combustion of thin solid fuel. Combustion Science and Technology 190:10, pages 1750-1771.
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Oscar S. Rabinovich, Andrei I. Malinouski, Vladimir M. Kislov & Eugene A. Salgansky. (2016) Effect of thermo-hydrodynamic instability on structure and characteristics of filtration combustion wave of solid fuel. Combustion Theory and Modelling 20:5, pages 877-893.
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Shuangfeng Wang, Suide Wang, Kangcheng Zhu, Yuan Xiao & Zhanbin Lu. (2016) Near Quenching Limit Instabilities of Concurrent Flame Spread over Thin Solid Fuel. Combustion Science and Technology 188:3, pages 451-471.
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Zhanbin Lu & Yong Dong. (2011) Fingering instability in forward smolder combustion. Combustion Theory and Modelling 15:6, pages 795-815.
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S.L. Olson, F.J. Miller & I.S. Wichman. (2006) Characterizing fingering flamelets using the logistic model. Combustion Theory and Modelling 10:2, pages 323-347.
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Manuel Arrayás & José L Trueba. (2005) Investigations of pre-breakdown phenomena: streamer discharges. Contemporary Physics 46:4, pages 265-276.
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A.P. ALDUSHIN & B.J. MATKOWSKY. (2000) Driven Combustion Waves in Porous Media*. Combustion Science and Technology 156:1, pages 221-250.
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Articles from other publishers (48)

Somayeh Sadr, Nahid Maleki-Jirsaraei & Shahin Rouhani. (2023) Experimental and analytical approaches toward controlling viscous fingering at the interface of two immiscible fluids using the optimal constant piecewise injection rate. International Journal of Non-Linear Mechanics 157, pages 104545.
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V.F. Nikitin, E.I. Skryleva & A.N. Manakhova. (2023) Accounting for the instability of a liquid flow front through a porous medium under conditions of low gravity and in the presence of chemical interactions between the phases. Acta Astronautica 213, pages 197-203.
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Mario Toledo, Andrés Arriagada, Nicolás Ripoll, Eugene A. Salgansky & Muhammad Abdul Mujeebu. (2023) Hydrogen and syngas production by hybrid filtration combustion: Progress and challenges. Renewable and Sustainable Energy Reviews 177, pages 113213.
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P. M. Krishenik, S. A. Rogachev & S. V. Kostin. (2023) Stability of Stationary Filtration Combustion Front of Porous Metal Compounds. International Journal of Self-Propagating High-Temperature Synthesis 32:1, pages 1-7.
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Nickolay A. Lutsenko. On improved model of solid porous fuel gasification in low-temperature gas generator for flying vehicle. On improved model of solid porous fuel gasification in low-temperature gas generator for flying vehicle.
V. R. Dushin, N. N. Smirnov, V. F. Nikitin, E. I. Skryleva & M. N. Makeeva. 2023. Advanced Problem in Mechanics III. Advanced Problem in Mechanics III 391 409 .
Hosna Shokri, Mohammad Hassan Kayhani & Mahmood Norouzi. (2019) On the miscible thermo-viscous fingering instability of non-Newtonian fluids in heterogeneous porous media. Rheologica Acta 58:11-12, pages 755-769.
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M. Norouzi, A.A. Yazdi & A.K. Birjandi. (2018) A numerical study on Saffman-Taylor instability of immiscible viscoelastic-Newtonian displacement in a Hele-Shaw cell. Journal of Non-Newtonian Fluid Mechanics 260, pages 109-119.
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Zhanbin Lu. (2018) A diffusion-flame analog of forward smolder waves: (II) stability analysis. Combustion and Flame 196, pages 529-542.
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Alie Abbasi Yazdi & Mahmood Norouzi. (2018) Numerical study of Saffman–Taylor instability in immiscible nonlinear viscoelastic flows. Rheologica Acta 57:8-9, pages 575-589.
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S. Stewart, D. Marin, M. Tullier, J. Pojman, E. Meiburg & P. Bunton. (2018) Stabilization of miscible viscous fingering by a step growth polymerization reaction. Experiments in Fluids 59:7.
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Ekeoma Rowland Ijioma, Hirofumi Izuhara & Masayasu Mimura. (2017) Traveling Waves in a Reaction-Diffusion System Describing Smoldering Combustion. SIAM Journal on Applied Mathematics 77:2, pages 614-637.
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Hossein Azizi, Sebastian Gurevich & Nikolas Provatas. (2017) Analysis of thermodiffusive cellular instabilities in continuum combustion fronts. Physical Review E 95:1.
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N A Lutsenko. (2016) Numerical modeling of 1D heterogeneous combustion in porous media under free convection taking into account dependence of permeability on porosity. Journal of Physics: Conference Series 722, pages 012025.
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Oleg Kupervasser. (2014) L aplacian growth without surface tension in filtration combustion: Analytical pole solution . Complexity 21:5, pages 31-42.
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Jiangping Hu, Bofu Wang & Dejun Sun. (2015) Numerical investigation of viscous fingering in Hele-Shaw cell with spatially periodic variation of depth. Applied Mathematics and Mechanics 37:1, pages 45-58.
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A. P. Aldushin & T. P. Ivleva. (2015) Counterflow infiltration combustion in conditions of fluid-dynamic instability: Fingering in low gas flow. International Journal of Self-Propagating High-Temperature Synthesis 24:4, pages 182-186.
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A. P. Aldushin & T. P. Ivleva. (2015) Counterflow combustion in conditions of fluid-dynamic instability: Influence of reaction conditions on finger parameters. International Journal of Self-Propagating High-Temperature Synthesis 24:3, pages 107-114.
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A. P. Aldushin & T. P. Ivleva. (2015) Hydrodynamic instability of counterflow filtration combustion: Mathematical modeling. International Journal of Self-Propagating High-Temperature Synthesis 24:2, pages 49-55.
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Ekeoma Rowland Ijioma, Adrian Muntean & Toshiyuki Ogawa. (2015) Effect of material anisotropy on the fingering instability in reverse smoldering combustion. International Journal of Heat and Mass Transfer 81, pages 924-938.
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A. P. Aldushin & T. P. Ivleva. (2015) Fingering in coflow filtration combustion: Influence of ignition conditions. International Journal of Self-Propagating High-Temperature Synthesis 24:1, pages 1-7.
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A. P. Aldushin & T. P. Ivleva. (2015) Simulation of the hydrodynamic instability of a filtration combustion wave in a porous medium. Combustion, Explosion, and Shock Waves 51:1, pages 107-115.
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S. V. Kostin & P. M. Krishenik. (2014) Infiltration-mediated cellular combustion of Ti powder in an inclined rectangular straight-through air flow reactor: Combustion wave patterning. International Journal of Self-Propagating High-Temperature Synthesis 23:4, pages 180-186.
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A. P. Aldushin & T. P. Ivleva. (2014) Coflow filtration combustion in a slit-like reactor: Simultaneous manifestation of fluid-dynamic and thermal instability. International Journal of Self-Propagating High-Temperature Synthesis 23:3, pages 125-132.
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A. P. Aldushin & T. P. Ivleva. (2013) Hydrodynamic instability of the coflow filtration combustion: Numerical simulation. Doklady Physical Chemistry 451:1, pages 157-160.
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Fang-ping Yuan & Zhan-bin Lu. (2013) Structure and stability of non-adiabatic reverse smolder waves. Applied Mathematics and Mechanics 34:6, pages 657-668.
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L. G. Raskolenko & O. A. Shkoda. (2013) Combustion in the Me1-Me2-N2 system: Unconventional macrostructure of combustion products. International Journal of Self-Propagating High-Temperature Synthesis 22:2, pages 84-87.
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S. V. Kostin & P. M. Krishenik. (2013) Unsteady infiltration-mediated combustion in conditions of regulated quasi-isobaric flow of gaseous reagent. International Journal of Self-Propagating High-Temperature Synthesis 22:2, pages 88-92.
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A. P. Aldushin & T. P. Ivleva. (2013) Continuous infiltration-mediated SHS process in a coflow reactor: Numerical modeling. International Journal of Self-Propagating High-Temperature Synthesis 22:2, pages 77-83.
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Evgeniy Khain, Mark Katakowski, Nicholas Charteris, Feng Jiang & Michael Chopp. (2012) Migration of adhesive glioma cells: Front propagation and fingering. Physical Review E 86:1.
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A. P. Aldushin & B. Sh. Braverman. (2010) Saffman–Taylor problem in filtration combustion. Russian Journal of Physical Chemistry B 4:5, pages 788-792.
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N. I. Ozerkovskaya, A. N. Firsov & K. G. Shkadinskii. (2010) Emergence of Spatial Structures during Filtration Combustion. Combustion, Explosion, and Shock Waves 46:5, pages 515-522.
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A. P. Aldushin & B. Sh. Braverman. (2009) Hydrodynamic instability of filtration combustion wave. Doklady Physical Chemistry 427:1, pages 125-128.
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S. Salvador, M. Quintard & C. David. (2008) Combustion of a substitution fuel made of cardboard and polyethylene: influence of the mix characteristics—modeling. Fire and Materials 32:7, pages 417-444.
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A.A Shah, J Brindley, A.C McIntosh & J Griffiths. (2007) Ignition and combustion of low-exothermicity porous materials by a local hotspot. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463:2081, pages 1287-1305.
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Chuan Lu & Yannis C. Yortsos. (2005) Pattern formation in reverse filtration combustion. Physical Review E 72:3.
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Chuan Lu & Yannis C. Yortsos. (2005) Dynamics of forward filtration combustion at the pore‐network level. AIChE Journal 51:4, pages 1279-1296.
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Chuan Lu & Yannis C. Yortsos. (2004) Percolation Phenomena in Filtration Combustion. Industrial & Engineering Chemistry Research 43:12, pages 3008-3018.
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A. P. Aldushin & B. J. Matkowsky. (1999) Extremum principles for selection in the Saffman–Taylor finger and Taylor–Saffman bubble problems. Physics of Fluids 11:6, pages 1287-1296.
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