On Some Key Problems of Modern Polymer Rheology

Igor A Mackarov


Control of key technological and benchmark flows of polymer fluids poses a number of challenges. Some of them are nowadays under active investigation and rather far from complete under­stan­ding. This review considers such phenomena as both practically important and governed by funda­mental laws of rheology and non-linear fluid mechanics. We observe, shear bands in polymeric and other complex structured fluids (like wormlike micellar solutions or soft glassy materials), birefrigerent strands, peculiarities of stress and pressure losses in fluids moving through com­plex shape domains. These and other processes involve in­ho­mo­geneity, in­stabilities and tran­sient modes creeping in flow fields. In practical aspect this is of interest in such industrial process as polymer flooding for Enhanced Oil Recovery (EOR), where a flow inhomogeneity affects a poly­mer solution injectivity and residual oil saturation. The value of viscoelasticity in the polymer flooding is estimated. The obser­va­tion is con­clu­ded by some new results on relation between polymer concentration in solutions and viscoelastic traits of benchmark flows.


shear banding; birefrigerent strands; pressure losses; polymer injectivity; benchmark flows

Full Text:



Divoux T., Fardin M., Manneville S., et al. Shear banding of complex fluids. Annual Review of Fluid Mechanics 2016; 48: 81-103.

Siginer D. Quasi-Periodic Flows of Viscoelastic Fluids in Straight Tubes. In Developments in the Flow of Complex Fluids in Tubes. Springer International Publishing, 2015. 65-78.

Mackarov I. Numerical observation of transient phase of viscoelastic fluid counterflows. Rheologica acta 2012; 51(3): 279-287.

Mackarov I. Viscoelastic flows with a stagnation point: regularity, instability, bifurcations. ISBN 978-620-2-00327-8. LAMBERT Academic Publishing, 2017.

Mackarov I. Asymmetries and bifurcations of viscoelastic counterflows in cross slots. Fluid Dynamics Research 2014; 46 (4): 041413.

Fielding S. Linear instability of planar shear banded flow. Physical review letters 2005; 95(13): 134501.

Milner S., McLeish C., Likhtman A. Microscopic theory of convective constraint release. Journal of Rheology 2001; 45(2): 539-563.

Olmsted P. Perspectives on shear banding in complex fluids. Rheologica Acta 2008; 47(3): 283-300.

Chaudhuri P., Berthier L., Bocquet L. Inhomogeneous shear flows in soft jammed materials with tunable attractive forces. Physical Review E 2012; 85(2): 021503.

Salipante P., Little C., Hudson S. Jetting of a shear banding fluid in rectangular ducts. 2017; Physical review fluids 2(3): 033302.

Dhont J., Kang, K., Lettinga, M., et al. Shear-banding instabilities. Korea-Australia rheology journal 2010; 22(4): 291-308.

Fielding S. Linear instability of planar shear banded flow. Physical review letters 2005; 95(13): 134501.

Mackarov I. Dynamic features of viscoelastic fluid counter flows. Annual Transactions of the Nordic Rheology Society 2011; 19: 71-79.

Sarkar A., Donald L. A model for complex flows of soft glassy materials with application to flows through fixed fiber beds. Journal of Rheology 2015; 59(6): 1487-1505.

Gibaud T., Barentin C., Taberlet N., et al. Shear-induced fragmentation of laponite suspensions. Soft Matter 2009; 5(16): 3026-3037.

Wapperom P., Renardy M. Numerical prediction of the boundary layers in the flow around a cylinder using a fixed velocity field. Journal of non-newtonian fluid mechanics 2005; 125: 35-48.

Haward S., Sharma V., Odell J. Extensional opto-rheometry with biofluids and ultra-dilute polymer solutions. Soft Matter 2011; 7(21): 9908-9921.

Haward S. Buckling instabilities in dilute polymer solution elastic strands. Rheologica acta 2010; 49(11-12): 1219-1225.

Varshney A., Steinberg V. Drag enhancement and drag reduction in viscoelastic flow. arXiv preprint 2018; arXiv:1809.03778.

Mackarov I. Is a UCM fluid flow near a stationary point always singular? arXiv preprint 2016; arXiv:1602.02404.

Mackarov I. Is a UCM fluid flow near a stationary point always singular?-Part II. arXiv preprint 2016; arXiv:1606.07980.

Rodriguez F., Cohen C., Ober C., et al. Principles of polymer systems (6th ed.). CRC Press, 2014.

Agassant J., Avenas P., Carreau P., et al. Polymer processing: principles and modeling (2nd ed.).. Carl Hanser Verlag GmbH Co KG, 2017. 39

Malkin A., Ilyin S., Vasilyev G., et al. Pressure losses in flow of viscoelastic polymeric fluids through short channels. Journal of Rheology 2014; 58(2): 433-448.

McDougall I., Orbey N., Dealy J. Inferring meaningful relaxation spectra from experimental data. Journal of Rheology 2014; 58(3): 779-797.

Evangelista S., Leopardi A., Pignatelli R., et al. Hydraulic transients in viscoelastic branched pipelines. Journal of Hydraulic Engineering 2015; 141(8): 04015016.

Meniconi S., Brunone B., Ferrante M. Water-hammer pressure waves interaction at cross-section changes in series in viscoelastic pipes. Journal of fluids and structures 2012; 33: 44-58.

Siginer D. Developments in the Flow of Complex Fluids in Tubes. Springer International Publishing, 2015. 57, 71-76.

Malkin A., Zuev K., Arinina M., et al. Modifying the viscosity of crude heavy oil by using surfactants and polymer additives. Energy & Fuels 2018.

Sheng J., Leonhardt B., Azri N. Status of Polymer-Flooding Technology. Journal of Canadian Petroleum Technology 2015; 54(02): 116-126.

Urbissinova T., Trivedi J., Kuru E. Effect of Elasticity during Viscoelastic Polymer Flooding-A Possible Mechanism of Increasing the Sweep Efficiency. In SPE western regional meeting. Society of Petroleum Engineers 2010.

Pathak J., Ross D., Migler K. Elastic flow instability, curved streamlines, and mixing in microfluidic flows. Physics of fluids 2004; 16(11): 4028-4034.

Carrington S., Odell J. How do polymers stretch in stagnation point extensional flow-fields? Journal of non-newtonian fluid mechanics 1996; 67: 269-283.

Zhong H., Zhang W., Fu J., et al. The performance of polymer flooding in heterogeneous type II reservoirs—An experimental and field investigation. Energies 2017; 10(4): 454.

Kumar S., Awang M., Abbas G., et al. Wormlike Micellar Solution: Alternate of Polymeric Mobility Control Agent for Chemical EOR. Journal of Applied Sciences 2014; 14: 1023-1029.

Williams G. Numerical integration of the three-dimensional Navier-Stokes equations for incompressible flow. Journal of Fluid Mechanics 1969; 37(4), 727-750.

Fouxon A., Lebedev V. Spectra of turbulence in dilute polymer solutions. Physics of Fluids 2003; 15(7): 2060-2072.

DOI: http://dx.doi.org/10.24294/jpse.v0i0.1041


  • There are currently no refbacks.

Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Creative Commons License

This site is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.