# School of Mathematics

## 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

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