Professor of Mathematics

School of Computer Science, Engineering and Mathematics

Professor Huilgol is Professor of Mathematics. His research interests cover a wide range of areas: Hopf bifurcation in the dynamics of trains; finite elasticity; viscoelastic fluid mechanics; oxygen diffusion in marsupial brains; inverse methods in photosynthesis; pantograph-cable interaction in Very Fast Trains, and injection moulding of viscoplastic fluids. Prof. Huilgol had held positions at the Illinois Institute of Technology, Chicago, University of Wisconsin-Madison, University of Sydney and at the Swinburne Technical College.

1969 PhD, University of Sydney

1964 M. Eng. Sc(Hons), University of Melbourne

1960 B. Sc Engg., Banaras Hindu University

2001 Grad. Cert. Tert. Ed., Flinders University

2011 RIIOHS204A Work Safety at Heights Certificate

Professor Huilgol was a Senior Fulbright Scholar at the California Institute of Technology in 1983, and a CNRS Senior Visiting Professor at the University of Paris VI in 1983, and at the University of Grenoble, France, in 1996 and 2000. He was awarded the Silver Medal of the Mexican Society of Rheology in 2001. He is a Fellow of the Australian Mathematical Society.

Solid, Fluid and Rigid Body Mechanics

Applied Mathematics

- Applied mathematics
- Numerical and computational mathematics

Prof. Huilgol's current research is in the thermo-fluid mechanics of viscoplastic materials, with a special emphasis into injection moulding problems. Specifically, this is based on his discovery of operator-splitting methods for the flows of incompressible and compressible viscoplastic fluids in the presence of heat transfer and inertia.

- Computational fluid dynamics
- Injection moulding

Principal supervisor
: Viscoplastic Fluid Mechanics
(1)
;

- Book chapters
- Books
- Conference publications
- Journal articles
- Refereed journal articles
- Selected publications

- Huilgol, R.R. (2009). Numbers and how we love them. In A. Hope and C. Gent, ed. Words from Table One. Adelaide: Flinders University Press, pp. 36-42.

- Huilgol, R.R. (2015).
*Fluid Mechanics of Viscoplasticity.*Berlin Heidelberg: Springer/Kluwer.

- Huilgol, R.R. (2009). Propagation of singular surfaces in viscoelastic and viscoplastic fluids. In 5th Annual European Rheology Conference: Scientific Programme and Abstracts. Cardiff, Wales: University of Cardiff. 5th Annual European Rheology Conference. Cardiff, Wales. Apr 2009.

[Web Link] - You, Z.J. and Huilgol, R.R. (2008). Operator-splitting schemes for a Bingham fluid in a cavity flow. In J. Denier, M. Finn and T. Mattner, ed. Proceedings of the XXII International Congress of Theoretical and Applied Mechanics. Adelaide, SA: University of Adelaide. XXII International Congress of Theoretical and Applied Mechanics. Adelaide, SA. Aug 2008, pp. 98 - ID 11353-98 - ID 11353.
- Huilgol, R.R. and You, Z.J. (2008). Operator-splitting schemes for the flows of compressible viscoplastic fluids. In Albert Co, Gary L. Leal, Ralph H. Colby, A. Jeffrey Giacomin, ed. XVth International Congress on Rheology - AIP Conference Proceedings. Monterey, California, USA: American Institute of Physics. THE XV INTERNATIONAL CONGRESS ON RHEOLOGY: The Society of Rheology 80th Annual Meeting. Monterey, California, USA. Aug 2008, pp. 261-263.

[10.1063/1.2964656] [10.1063/1.2964656] [Scopus] - Huilgol, R.R., Mitsoulis, E. and You, Z.J. (2007). Application of the Lambert W function to obtain analytic solutions for the Papanastasiou model. In N. Grizzuti and P. L. Maffetone, ed. Book of Abstracts: AERC 2007. Naples, Italy: European Society of Rheology. AERC 2007: 4th Annual European Rheology Conference. Naples, Italy. Apr 2007, pp. 93-93.
- Huilgol, R.R. and You, Z.J. (2006). Importance of pressure dependence of viscosity in steady non-isothermal shearing flows of compressible and incompressible fluids. In Proceedings of the PPS-22. Polymer Processing Society 22nd Annual Meeting. Yamagata, Japan. Jul 2006.
- You, Z.J. and Huilgol, R.R. (2006). Three dimensional simulation of the elbow flow of Bingham Fluids. In PPS-22 Proceedings. Polymer Processing Society 22nd Annual Meeting. Yamagata, Japan. Jul 2006.
- Chatzimina, M., Georgiou, G.C., Mitsoulis, E. and Huilgol, R.R. (2004). Finite stopping times in Couette and Poiseuille flows of viscoplastic fluids. In Proceedings of the XIVth International Congress on Rheology. Korea: Korean Society of Rheology. The XIVth International Congress on Rheology. Seoul, Korea. Aug 2004.
- Huilgol, R.R. (2004). On the non-existence of a moving yield surface in the Rayleigh problem for Bingham fluids. In Proceedings of the XIVth International Congress on Rheology. Seoul, Korea: Korean Society of Rehology. The XIVth International Congress on Rheology. Aug 2004.
- Huilgol, R.R. (2002). Finite stopping time problems and rheometry of viscoplastic fluids. In Proceedings of the 6th European Conference on Rheology. Erlangen, Germany: Uniiveristat Erlangen-Nurenberg. 6th European Conference on Rheology. Erlangen, Germany. Sep 2002.

- Huilgol, R.R. (2009). Sea of Poppies by Amitav Ghosh.
*Transnational Literature,*1(2) pp. 1-3.

- Huilgol, R.R. (2015). Natural convection problem in a Bingham fluid using the operator-splitting method.
*Journal of Non-Newtonian Fluid Mechanics,* - Huilgol, R.R. (2010). On the description of the motion of the yield surface in unsteady shearing flows of a Bingham fluid as a jerk wave.
*Journal of Non-Newtonian Fluid Mechanics,*165 pp. 65-69.

[10.1016/j.jnnfm.2009.09.003] [Scopus] - Huilgol, R.R. (2009). On the definition of pressure in rheology.
*Rheology Bulletin,*78(2) pp. 12-15.

[Web Link] - Huilgol, R.R. and You, Z.J. (2009). Prolegomena to variational inequalities and numerical schemes for compressible viscoplastic fluids.
*Journal of Non-Newtonian Fluid Mechanics,*158(1-3) pp. 113-126.

[10.1016/j.jnnfm.2008.07.005] [Scopus] - You, Z.J., Huilgol, R.R. and Mitsoulis, E. (2008). Application of the Lambert W function to steady shearing flows of the Papanastasiou model.
*International Journal of Engineering Science,*46(8) pp. 799-808.

[10.1016/j.ijengsci.2008.02.002] [10.1016/j.ijengsci.2008.02.002] [Scopus] - Huilgol, R.R. and You, Z.J. (2006). On the importance of the pressure dependence of viscosity in steady non-isothermal shearing flows of compressible and incompressible fluids and in the isothermal fountain flow.
*Journal of Non-Newtonian Fluid Mechanics,*136(2-3) pp. 106-117.

[10.1016/j.jnnfm.2006.03.011] [10.1016/j.jnnfm.2006.03.011] [Scopus] - Huilgol, R.R. (2006). On the derivation of the symmetric and asymmetric Hele-Shaw flow equations for viscous and viscoplastic fluids using the viscometric fluidity function.
*Journal of Non-Newtonian Fluid Mechanics,*138(2-3) pp. 209-213.

[10.1016/j.jnnfm.2006.07.008] [10.1016/j.jnnfm.2006.07.008] [Scopus] - Huilgol, R.R. (2006). A systematic procedure to determine the minimum pressure gradient required for the flow of visoplastic fluids in pipes of symmetric cross-section.
*Journal of Non-Newtonian Fluid Mechanics,*136(2-3) pp. 140-146.

[10.1016/j.jnnfm.2006.04.001] [10.1016/j.jnnfm.2006.04.001] [Scopus] - Huilgol, R.R., Chatzimina, M., Georgiou, G.C., Argyropaidas, I. and Mitsoulis, E. (2005). Cessation of Couette and Poiseuille flows of a Bingham plastic and finite stopping times.
*Journal of Non-Newtonian Fluid Mechanics,*129(3) pp. 117-127.

[10.1016/j.jnnfm.2005.07.001] [10.1016/j.jnnfm.2005.07.001] [Scopus] - You, Z.J. and Huilgol, R.R. (2005). Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids.
*Journal of Non-Newtonian Fluid Mechanics,*128(2-3) pp. 126-143.

[10.1016/j.jnnfm.2005.04.004] [10.1016/j.jnnfm.2005.04.004] [Scopus] - Huilgol, R.R. (2004). On kinematic conditions affecting the existence and non-existence of a moving yield surface in unsteady unidirectional flows of Bingham fluids.
*Journal of Non-Newtonian Fluid Mechanics,*123(2-3) pp. 215-221.

[10.1016/j.jnnfm.2004.08.009] [10.1016/j.jnnfm.2004.08.009] [Scopus] - Mitsoulis, E. and Huilgol, R.R. (2004). Entry flows of Bingham plastics in expansions.
*Journal of Non-Newtonian Fluid Mechanics,*122(1-3) pp. 45-54.

[10.1016/j.jnnfm.2003.10.007] [10.1016/j.jnnfm.2003.10.007] [Scopus] - Huilgol, R.R. (2002). Variational inequalities in the flows of yield stress fluids including inertia: theory and applications.
*Physics of Fluids,*14(3) pp. 1269-1283.

[10.1063/1.1448347] [10.1063/1.1448347] [Scopus] - Huilgol, R.R., Mena, and Piau, J.M. (2002). Finite stopping time problems and rheometry of Bingham fluids.
*Journal of Non-Newtonian Fluid Mechanics,*102(1) pp. 97-107.

[10.1016/S0377-0257(01)00166-5] [10.1016/S0377-0257(01)00166-5] [Scopus] - Huilgol, R.R., Zenit, R., Chavez, B.E., Galacia, O.M., Geffory, E. and Mena, (2001). Grain drying and aeration in a solar hexagonal silo.
*Particulate Science and Technology,*19 pp. 45-65. - Huilgol, R.R. and Nguyen, Q. (2001). Variational principles and variational inequalities for the unsteady flows of a yield stress fluid.
*International Journal of Non-Linear Mechanics,*36 pp. 49-67. - Huilgol, R.R., Huilgol, S.C., Markey, A.C., Calonje, E., Poon, E., Barlow, R., et al. (2001). Scanned continuous wave CO2 laser resurfacing: A closer look at the different scanning modes.
*Dermatologic Surgery,*27 pp. 467-470.

- Huilgol, R.R. (2015).
*Fluid Mechanics of Viscoplasticity.*Berlin Heidelberg: Springer/Kluwer. - Huilgol, R.R. (2015). Natural convection problem in a Bingham fluid using the operator-splitting method.
*Journal of Non-Newtonian Fluid Mechanics,* - Huilgol, R.R. (2010). On the description of the motion of the yield surface in unsteady shearing flows of a Bingham fluid as a jerk wave.
*Journal of Non-Newtonian Fluid Mechanics,*165 pp. 65-69.

[10.1016/j.jnnfm.2009.09.003] [Scopus] - Huilgol, R.R. (2009). On the definition of pressure in rheology.
*Rheology Bulletin,*78(2) pp. 12-15.

[Web Link] - Huilgol, R.R. and You, Z.J. (2009). Prolegomena to variational inequalities and numerical schemes for compressible viscoplastic fluids.
*Journal of Non-Newtonian Fluid Mechanics,*158(1-3) pp. 113-126.

[10.1016/j.jnnfm.2008.07.005] [Scopus] - You, Z.J., Huilgol, R.R. and Mitsoulis, E. (2008). Application of the Lambert W function to steady shearing flows of the Papanastasiou model.
*International Journal of Engineering Science,*46(8) pp. 799-808.

[10.1016/j.ijengsci.2008.02.002] [10.1016/j.ijengsci.2008.02.002] [Scopus] - Huilgol, R.R. (2006). On the derivation of the symmetric and asymmetric Hele-Shaw flow equations for viscous and viscoplastic fluids using the viscometric fluidity function.
*Journal of Non-Newtonian Fluid Mechanics,*138(2-3) pp. 209-213.

[10.1016/j.jnnfm.2006.07.008] [10.1016/j.jnnfm.2006.07.008] [Scopus] - Huilgol, R.R. and You, Z.J. (2006). On the importance of the pressure dependence of viscosity in steady non-isothermal shearing flows of compressible and incompressible fluids and in the isothermal fountain flow.
*Journal of Non-Newtonian Fluid Mechanics,*136(2-3) pp. 106-117.

[10.1016/j.jnnfm.2006.03.011] [10.1016/j.jnnfm.2006.03.011] [Scopus] - Huilgol, R.R. (2006). A systematic procedure to determine the minimum pressure gradient required for the flow of visoplastic fluids in pipes of symmetric cross-section.
*Journal of Non-Newtonian Fluid Mechanics,*136(2-3) pp. 140-146.

[10.1016/j.jnnfm.2006.04.001] [10.1016/j.jnnfm.2006.04.001] [Scopus] - You, Z.J. and Huilgol, R.R. (2005). Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids.
*Journal of Non-Newtonian Fluid Mechanics,*128(2-3) pp. 126-143.

[10.1016/j.jnnfm.2005.04.004] [10.1016/j.jnnfm.2005.04.004] [Scopus]

Reviewer for journals in the fields of Rheology and Non-Newtonian Fluid Mechanics.

- Mathematics

- Applied Mathematics Fluid Mechanics

Prof
Raja
Huilgol
Flinders University
http://www.flinders.edu.au/people/raj.huilgol

Phone: | +61 8 82012938 |

Email: | raj.huilgol@flinders.edu.au |

Location: | Tonsley (4.43) |

Postal address: | GPO Box 2100, Adelaide 5001, South Australia |