Ian Frigaard

Professor

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

Research Interests

My research falls into two main categories:

• Non-Newtonian fluid mechanics: Subjects recently studied with yield stress fluids include: Suspension flows, Wavy-walled channels and fouling, Shear instabilities, Rayleigh-Bénard flows, Bubble propagation, particle sedimentation, visco-plastic lubrication, miscible displacement flows. Research in these areas is ongoing.
• Industrial mathematical modelling: This work is industry-driven. Broadly, I have been interested in processes combing thermal and fluid dynamic effects. Examples: oilfield cementing, spray deposition/forming, injection molding, continuous casting, Czrochalski crystal growth, image processing, wellbore hydraulics, slurry transport, well control.

Current Research Work

• Non-Newtonian fluid mechanics: Subjects recently studied with yield stress fluids include: Shear instabilities, Rayleigh-Bénard flows, Bubble propagation, particle sedimentation, visco-plastic lubrication, miscible displacement flows, dispersion, Taylor-Couette instabilities, regularization methods. Research in these areas is ongoing.
• Industrial mathematical modelling: Subjects recently studied include: InSb crystal growth, injection molding, reactive displacement flows, waxy crude oil pipeline restarts, cementing displacement flows.

Selected Publications

• N. J. Balmforth, I. A. Frigaard, and 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).

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