[1] S. Hill, Channeling in packed columns, Chemical Engineering Science, Vol. 1, No. 6, pp. 247-253, 1952.
[2] P. G. Saffman, G. Taylor, The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Dynamics of Curved Fronts, pp. 312-329, 1958.
[3] P. Saffman, Viscous fingering in Hele-Shaw cells, Journal of Fluid Mechanics, Vol. 173, No. 3, pp. 73-94, 1986.
[4] G. Taylor, Cavitation of a viscous fluid in narrow passages, Journal of Fluid Mechanics, Vol. 16, No. 04, pp. 595-619, 1963.
[5] J. Sheng, Modern Chemical Enhanced Oil Recovery: Theory and Practice, pp. 423-440, Elsevier, Gulf Professional Publishing, 2010.
[6] D. Hull, Fractography: Observing, Measuring and Interpreting Fracture Surface Topography, pp. 153-170, Cambridge, Cambridge University Press, 1999.
[7] A. Aldushin, B. Matkowsky, Instabilities, fingering and the Saffman-Taylor problem in filtration combustion, Combustion Science and Technology, Vol. 133, No. 4-6, pp. 293-341, 1998.
[8] G. M. Homsy, Viscous fingering in porous media, Annual Review of Fluid Mechanics, Vol. 19, No. 1, pp. 271-311, 1987.
[9] R. Marshall, A. Metzner, Flow of viscoelastic fluids through porous media, Industrial & Engineering Chemistry Fundamentals, Vol. 6, No. 3, pp. 393- 400, 1967.
[10] E. Allen, D. Boger, The influence of rheological properties on mobility control in polymer-augmented waterflooding, Proceeding of Society of Petroleum Engineers, 1988.
[11] D. Bonn, H. Kellay, M. B. Amar, J. Meunier, Viscous finger widening with surfactants and polymers, Physical Review Letters, Vol. 75, No. 11, pp. 2132, 1995.
[12] A. Lindner, D. Bonn, E. C. Poiré, M. B. Amar, J. Meunier, Viscous fingering in non-Newtonian fluids, Journal of Fluid Mechanics, Vol. 469, No. 1, pp. 237-256, 2002.
[13] S. Malhotra, M. M. Sharma, Impact of fluid elasticity on miscible viscous fingering, Chemical Engineering Science, Vol. 117, No. 12 pp. 125-135, 2014.
[14] J. Nittmann, G. Daccord, H. E. Stanley, Fractal growth of viscous fingers: quantitative characterization of a fluid instability phenomenon, Nature, Vol. 314, No. 6007, pp. 141-144, 1985.
[15] S. Wilson, The Taylor–Saffman problem for a non-Newtonian liquid, Journal of Fluid Mechanics, Vol. 220, No. 5, pp. 413-425, 1990.
[16] B. Ebrahimi, S. M. Taghavi, K. Sadeghy, Two-phase viscous fingering of immiscible thixotropic fluids: A numerical study, Journal of Non-Newtonian Fluid Mechanics, Vol. 218, No. 1, pp. 40-52, 2015.
[17] M. R. Shoghi, M. Norouzi, Linear stability analysis and nonlinear simulation of non-Newtonian viscous fingering instability in heterogeneous porous media, Rheologica Acta, Vol. 54, No. 11-12, pp. 973-991, 2015.
[18] H. Shokri, M. Kayhani, M. Norouzi, Nonlinear simulation of viscoelastic fingering instability, Modares Mechanical Engineering, Vol. 16, No. 8, pp. 47-54, 2016. (in Persian فارسی(
[19] H. Shokri, M. Kayhani, M. Norouzi, Nonlinear simulation and linear stability analysis of viscous fingering instability of viscoelastic liquids, Physics of Fluids, Vol. 29, No. 3, pp. 033101, 2017.
[20] J. C. Maxwell, The Scientific Letters and Papers of James Clerk Maxwell, pp. 1846-1862, CUP Archive, Cambridge, Cambridge university press, 1990.
[21] C. W. Hirt, B. D. Nichols, Volume of fluid (VOF) method for the dynamics of free boundaries, Journal of Computational Physics, Vol. 39, No. 1, pp. 201-225, 1981.
[22] O. Ubbink, R. Issa, A method for capturing sharp fluid interfaces on arbitrary meshes, Journal of Computational Physics, Vol. 153, No. 1, pp. 26-50, 1999.
[23] S. Vaezi, Experimental Investigation of Elastic Properties Effects on Viscous Fingering Instability, PhD Thesis, Department Of Mechanical Engineering, shahrood univercity, Shahrood, 2015. (in Persian فارسی(
[24] M. Islam, J. Azaiez, Fully implicit finite difference pseudo‐spectral method for simulating high mobility‐ratio miscible displacements, International Journal for Numerical Methods in Fluids, Vol. 47, No. 2, pp. 161-183, 2005.
[25] M. R. Shoghi, M. Norouzi, Nonlinear simulation of non-Newtonian viscous fingering instability in anisotropic porous media, Modares Mechanical Engineering, Vol. 15, No. 7, pp. 415-425, 2015. (in Persian فارسی(
[26] H. Shokri, M. Kayhani, M. Norouzi, Saffman–Taylor instability of viscoelastic fluids in anisotropic porous media, International Journal of Mechanical Sciences, 2018.
[27] S. Khatibi, A. Khaleghi, M. Norouzi, An experimental investigation on viscous fingering instability of Newtonian fluid in transparent porous media with compact structure consisting of glass beads, Modares Mechanical Engineering, Vol. 17, No. 9, pp. 245-253, 2017. (in Persian فارسی(
[28] C. Tan, G. Homsy, Simulation of nonlinear viscous fingering in miscible displacement, Physics of Fluids (1958-1988), Vol. 31, No. 6, pp. 1330-1338, 1988.
[29] W. Zimmerman, G. Homsy, Three‐dimensional viscous fingering: A numerical study, Physics of Fluids A: Fluid Dynamics (1989-1993), Vol. 4, No. 9, pp. 1901-1914, 1992.
[30] K. Ghesmat, J. Azaiez, Viscous fingering instability in porous media: effect of anisotropic velocity-dependent dispersion tensor, Transport in Porous Media, Vol. 73, No. 3, pp. 297-318, 2008.
[31] J. Azaiez, B. Singh, Stability of miscible displacements of shear thinning fluids in a Hele-Shaw cell, Physics of Fluids (1994-present), Vol. 14, No. 5, pp. 1557-1571, 2002.
[32] M. Norouzi, M. Shoghi, A numerical study on miscible viscous fingering instability in anisotropic porous media, Physics of Fluids, Vol. 26, No. 8, pp. 084102, 2014.
[33] C. T. Tan, G. Homsy, Viscous fingering with permeability heterogeneity, Physics of Fluids A: Fluid Dynamics (1989-1993), Vol. 4, No. 6, pp. 1099- 1101, 1992.
[34] M. Denn, K. Porteous, Elastic effects in flow of viscoelastic liquids, The Chemical Engineering Journal, Vol. 2, No. 4, pp. 280-286, 1971.
[35] S. Mora, M. Manna, from viscous fingering to elastic instabilities, Journal of Non-Newtonian Fluid Mechanics, Vol. 173, No. 2, pp. 30-39, 2012.