School of Mathematics

Search site

Dr Priya Subramanian

Research Fellow
Applied Mathematics

Contact details

Room: 10.04
Tel: +44 (0)113 3432930
Email: P.Subramanian @ leeds.ac.uk

Keywords

Nonlinear Dynamics
Pattern formation
Delay differential equations
Quasipatterns
Inclined layer convection
Emergent dynamics in active fluids
Laminar premixed flames
Thermoacoustics

Research interests

The underlying theme of my research interests lies in understanding spatio-temporal patterns and emergent behaviour in a variety of systems. During my PhD, I focussed on the analysis of laminar premixed flame-acoustic interaction particularly on the non-normal nature of this interaction and in the application of tools from dynamical systems' theory to analyze the resulting oscillations. Building upon this, I continue my work in this area with emphasis on modelling combustion dynamics using distributed delay differential equations and washout-aided feedback control to change the nature of bifurcation in thermoacoustic systems. As part of my post-doctoral work, I have been investigating spatio-temporal patterns in transistional flows and inclined layer convection. Currently I am working on emergent behavior in active fluids such as the motion of organelle filaments on motility assays and in the formation of quasipatterns - patterns that possess discrete spectra despite lacking any translational symmetries.

Useful links

Link to papers on arXiv
Link to Researchgate profile
Link to personal webpage
Link to old webpage

Current postgraduate students

Haifaa Alrihieli (2016)

Publications

Subramanian P, Archer AJ, Knobloch E, Rucklidge AM Three-Dimensional Icosahedral Phase Field Quasicrystal Physical Review Letters, 117, 2016
DOI:10.1103/PhysRevLett.117.075501
View abstract

Subramanian P, Brausch O, Daniels KE, Bodenschatz E, Schneider TM, Pesch W Spatio-temporal patterns in inclined layer convection Journal of Fluid Mechanics, 794, 719-745, 2016
DOI:10.1017/jfm.2016.186
View abstract

Subramanian P; Archer AJ; Knobloch E; Rucklidge A Data associated with’Three-dimensional Icosahedral Phase Field Quasicrystal’ 2016
DOI:10.5518/95

Subramanian P, Blumenthal RS, Polifke W, Sujith RI Distributed time lag response functions for the modelling of combustion dynamics Combustion Theory and Modelling, 19, 223-237, 2015
DOI:10.1080/13647830.2014.1001438
View abstract

Blumenthal RS, Subramanian P, Sujith RI, Polifke W Novel perspectives on the dynamics of premixed flames. Combustion and Flame, 160, 1215-1224, 2013
DOI:10.1016/j.combustflame.2013.02.005
View abstract

Agharkar P, Subramanian P, Kaisare NS, Sujith RI Thermoacoustic instabilities in a ducted premixed flame: reduced-order models and control. Combustion Science and Technology, 185, 920-942, 2013
DOI:10.1080/00102202.2013.764289
View abstract

Subramanian P, Sujith RI, Wahi P Subcritical bifurcation and bistability in thermoacoustic systems Journal of Fluid Mechanics, 715, 210-238, 2013
DOI:10.1017/jfm.2012.514
View abstract

Subramanian P, Sujith RI Non-normality and internal flame dynamics in premixed flame–acoustic interaction Journal of Fluid Mechanics, 2011
DOI:10.1017/jfm.2011.140
View abstract

Subramanian P, Mariappan S, Sujith RI, Wahi P Bifurcation analysis of thermoacoustic instability in Rijke tube International Journal of Spray and Combustion Dynamics, 2, 325-356, 2011
DOI:10.1260/1756-8277.2.4.325
View abstract