# Ian Frigaard

#### Professor

B.Sc. (Univ. of Wales), M.Sc. (Oxon), D.Phil. (Oxon), C.Math.

phone: |
(604) 822-1316 |

fax: |
(604) 822-2403 |

email: |
frigaard@math.ubc.ca |

website: |
blogs.ubc.ca/frigaard |

office: |
ICCS 177 |

### Research Interests

My research interests are in non-Newtonian fluid mechanics and understanding industrial processes that exploit the non-Newtonian properties of fluids. In particular I am interested in the mechanics of visco-plastic (yield stress) fluids. Many of the industrial research projects come from the petroleum industry. Areas of keen interest here are centered around cementing of wells, preventing leakage and techniques for the eventual abandonment – issues related to GHG emission control and long-term environmental protection.

Methodologically, my group conducts research that combines mathematical, experimental and computational approaches. Many of the results of our research are described the publications of my group and our research collaborators. Research is carried out in the Complex Fluids Lab at UBC, in a strongly interdisciplinary environment. My group typically consists of 10 or more graduate students and postdocs, some internships are typically available in Summer.

### Selected Publications

- I.A. Frigaard, “Simple Yield Stress Fluids,”
*Current Opinion in Colloid & Interface Science,*2019. - I.A. Frigaard, C. Nouar, “Onset of flow in a vibrated thin viscoplastic layer,”
*Journal of Non-Newtonian Fluid Mechanics,*2019. - E. Chaparian, A. Wachs, I.A. Frigaard, “Inline motion and hydrodynamic interaction of 2D particles in a viscoplastic fluid,”
*Physics of Fluids*,*30*(3), p.033101, 2018. - A. Etrati, K. Alba, I.A. Frigaard, “Two-layer displacement flow of miscible fluids with viscosity ratio: Experiments,”
*Physics of Fluids*,*30*(5), p.052103, 2018. - A. Etrati, I.A. Frigaard, “A two-layer model for buoyant inertial displacement flows in inclined pipes,”
*Physics of Fluids*,*30*(2), p.022107, 2018. - P. Sarmadi, S. Hormozi, I.A. Frigaard, “Flow development and interface sculpting in stable lubricated pipeline transport,”
*Journal of Non-Newtonian Fluid Mechanics*,*261*, pp.60-80, 2018. - N. Hanachi, A. Maleki, I.A. Frigaard, “A model for foamed cementing of oil and gas wells,”
*Journal of Engineering Mathematics*,*113*(1), pp.93-121, 2018. - A. Renteria, A. Maleki, I.A. Frigaard, B. Lund, A. Taghipour, J.D. Ytrehus, “Displacement Efficiency for Primary Cementing of Washout Sections in Highly Deviated Wells,” In
*SPE Asia Pacific Oil and Gas Conference and Exhibition*. Society of Petroleum Engineers, 2018. - I.A. Frigaard, A. Maleki, “Tracking Fluid Interface in Carbon Capture and Storage Cement Placement Application,” In
*ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering*(pp. V008T11A060-V008T11A060). American Society of Mechanical Engineers, 2018. - A. Maleki, I.A. Frigaard, “Tracking fluid interfaces in primary cementing of surface casing,”
*Physics of Fluids*,*30*(9), p.093104, 2018. - A. Maleki, I.A. Frigaard, “Turbulent displacement flows in primary cementing of oil and gas wells,”
*Physics of Fluids*,*30*(12), p.123101, 2018. - A. Etrati, I.A. Frigaard, “Viscosity effects in density-stable miscible displacement flows: Experiments and simulations,”
*Physics of Fluids*,*30*(12), p.123104, 2018. - T. Treskatis, A. Roustaei, I.A. Frigaard, A. Wachs, “Practical guidelines for fast, efficient and robust simulations of yield-stress flows without regularisation: A study of accelerated proximal gradient and augmented Lagrangian methods,”
*Journal of Non-Newtonian Fluid Mechanics*,*262*, pp.149-164, 2018. - A.S. Shirazi, I.A. Frigaard, “A New Three-Layer Model for Horizontal Slurry Flow,” 2018.
- M. Zare, I.A. Frigaard, “Onset of miscible and immiscible fluids’ invasion into a viscoplastic fluid,”
*Physics of Fluids*,*30*(6), p.063101, 2018. - I.A. Frigaard, K.G. Paso, P.R. de Souza Mendes, “Bingham’s model in the oil and gas industry,”
*Rheologica Acta*,*56*(3), pp.259-282, 2017. - E. Chaparian, I.A. Frigaard, “Yield limit analysis of particle motion in a yield-stress fluid,”
*Journal of Fluid Mechanics*,*819*, pp.311-351, 2017. - A. Maleki, I.A. Frigaard, “Primary cementing of oil and gas wells in turbulent and mixed regimes,”
*Journal of Engineering Mathematics*,*107*(1), pp.201-230, 2017. - E. Chaparian, I.A. Frigaard, “Cloaking: Particles in a yield-stress fluid,”
*Journal of Non-Newtonian Fluid Mechanics*,*243*, pp.47-55, 2017. - I.A. Frigaard, J.A. Iglesias, G. Mercier, C. Pöschl, O. Scherzer, “Critical yield numbers of rigid particles settling in Bingham fluids and Cheeger sets,”
*SIAM Journal on Applied Mathematics*,*77*(2), pp.638-663, 2017. - P. Sarmadi, S. Hormozi, I.A. Frigaard, “Triple-layer configuration for stable high-speed lubricated pipeline transport,”
*Physical Review Fluids*,*2*(4), p.044302, 2017. - G. Goyal, G.J. Elfring, I.A. Frigaard, “Rheology and flow studies of drag-reducing gravel packing fluids,”
*Rheologica Acta*,*56*(11), pp.905-914, 2017. - D.M. Martinez, J.A. Olson, A. Madani, I.A. Frigaard, D. Farajisarir, J. Lockhart, “
*Method and apparatus for continuously fractionating particles contained within a viscoplastic fluid,”*U.S. Patent 9,849,466, 2017. - S.A. Ale Etrati Khosroshahi, I.A. Frigaard, “Buoyant miscible displacement flow of shear-thinning fluids: Experiments and Simulations,” In
*APS Meeting Abstracts,*2017. - P. Sarmadi, S. Hormozi, I.A. Frigaard, “Viscoplastic sculpting in stable triple layer heavy oil transport flow,” In
*APS Meeting Abstracts,*2017. - A. Wachs, I.A. Frigaard, “Particle settling in yield stress fluids: Limiting time, distance and applications,”
*Journal of Non-Newtonian Fluid Mechanics*,*238*, pp.189-204, 2016. - N. J. Balmforth, I. A. Frigaard, G. Ovarlez, “Yielding to stress: Recent developments in viscoplastic fluid mechanics,”
*Annual Review of Fluid Mechanics*, vol. 46, pp. 121–146, 2014. - K. Alba, S.M. Taghavi, I.A. Frigaard, “Miscible density-unstable displacement flows in inclined tubes.”
*Phys. Fluids*, accepted for publication March 2013 and to appear. - A. Roustaei, I.A. Frigaard, “The occurrence of fouling layers in the flow of a yield stress fluid along a wavy-walled channel.”
*J. non-Newt. Fluid Mech.*, accepted for publication, March 2013, to appear. - S.M. Taghavi, I.A. Frigaard, “Estimation of mixing volumes in buoyant miscible displacement flows along near-horizontal pipes.”
*Can. J. Chem. Eng.*, 91(3), pp. 399–412, (2013). - M. Moyers-Gonzalez, K. Alba, S.M. Taghavi, I.A. Frigaard, “Fluid-fluid displacement flows in pipes: development of a semi-analytical closure for stratified interfaces.”
*J. non-Newt. Fluid Mech.*, 193, pp. 49-67, (2013). - K. Alba, S.M. Taghavi, I.A. Frigaard, “A weighted residual method for two-layer non-Newtonian channel flows: steady-state results and their stability”,
*J. Fluid Mech.*731, pp. 509—544, (2013) - A. Madani, D.M. Martinez, J.A. Olson, I.A. Frigaard, “The stability of spiral Poiseuille flows of Newtonian and Bingham fluids in an annular gap.”
*J. non-Newt. Fluid Mech.*, 193, pp. 3-10, (2013). - M. Moyers-Gonzalez, K. Alba, S.M. Taghavi, I.A. Frigaard, “A semi-analytical closure approximation for pipe flows of two Herschel–Bulkley fluids with a stratified interface.”
*J. non-Newt. Fluid Mech.*, 193, 49-67 (2013). - K. Alba, S.M. Taghavi, I.A. Frigaard, “Miscible density-stable displacement flows in inclined tubes.”
*Phys. Fluids*, 24, 123102 (2012) - A. Madani, D.M. Martinez, J.A. Olson, I.A. Frigaard, “The stability of spiral Poiseuille flows of Newtonian and Bingham fluids in an annular gap.”
*J. non-Newt. Fluid Mech.*, doi.org/10.1016/j.jnnfm.2012.02.007, (2012).

**Books:**

- J. Bélair, I.A. Frigaard, H. Kunze, R. Makarov, R. Melnik, R.J. Spiteri,
*Mathematical and computational approaches in advancing modern science and engineering,*Springer, 2017.