22 citations · 125 across the 34 of their papers we have counts for
35 papers
Landau-de Gennes corrections to the Oseen-Frank limit: Anchoring-induced tilt modes
Prabakaran Rajamanickam
An asymptotic analysis of the Landau--de Gennes framework is performed to compute higher-order corrections to the Oseen--Frank limit in a bounded three-dimensional domain under app…
Premixed flames in a stagnation point flow under Darcy's law
Prabakaran Rajamanickam, Joel Daou
Premixed flames in stagnation point flows are traditionally described using Navier--Stokes equations where inertia and density variations play an important part in determining the…
Hydrodynamic theory of premixed flames under Darcy's law: Interfacial conditions and effects of nonunity Lewis number and heat loss
Prabakaran Rajamanickam, Joel Daou
Premixed flames propagating in porous media or Hele-Shaw channels are governed by Darcy's law, which accounts for the strong frictional forces imposed by the solid matrix or confin…
A simplified model for coupling Darrieus-Landau and diffusive-thermal instabilities
Prabakaran Rajamanickam
A simplified phenomenological model is proposed to couple the long-wave Darrieus--Landau (DL) instability and the short-wave diffusive-thermal (DT) instability in premixed flames.…
Hydrodynamic origin of Korteweg stresses from shear-induced horizontal buoyancy
Prabakaran Rajamanickam
A recent study \cite{rajamanickam2025shear} of non-Boussinesq fluids in narrow channels identified a novel shear-induced horizontal buoyancy force that emerges upon depth-averaging…
Flame dynamics and Markstein numbers in Hele-Shaw cells and porous media under Darcy's law
Prabakaran Rajamanickam, Joel Daou
The propagation of premixed flames in narrow Hele-Shaw cells and permeable porous media is governed by Darcy's law, leading to hydrodynamic behaviour distinct from conventional fla…
Nematic equilibria in isosceles triangles: The effects of edge length and apex angle on solution landscapes in a reduced Landau-de Gennes framework
Prabakaran Rajamanickam, Yucen Han, Thuriya Alhinai +1
We study equilibrium configurations of nematic liquid crystals confined to two-dimensional isosceles triangles, subject to tangent boundary conditions. This toy problem is motivate…
Strong anchoring boundary conditions in nematic liquid crystals: Higher-order corrections to the Oseen-Frank limit and a revised small-domain theory
Prabakaran Rajamanickam
Strong anchoring boundary conditions are conventionally modelled by imposing Dirichlet conditions on the order parameter in Landau-de Gennes theory, neglecting the finite surface e…
Landau-de Gennes Modelling of Confinement Effects and Cybotactic Clusters in Bent-Core Nematic Liquid Crystals
Yucen Han, Prabakaran Rajamanickam, Bedour Alturki +1
We study bent-core nematic (BCN) systems in two-dimensional (2D) and three-dimensional (3D) settings, focusing on the role of cybotactic clusters, phase transitions, confinement ef…
Taylor dispersion and large-deviation structure in stagnation-point flows without homogenisation
Prabakaran Rajamanickam
We study the long-time dispersion of a passive scalar in linearly accelerating flows whose strain rate varies transversely: the axially strained flow in a porous tube with w…
Axially strained flow in a porous duct of circular-sector cross-section
Prabakaran Rajamanickam
A canonical problem of axially strained flow in a duct of circular-sector cross-section, with fluid injection through the circular arc, is examined for a range of Reynolds numbers…
Kerr-Dold vortices in an axisymmetric stagnation point flow
Prabakaran Rajamanickam
The existence of Kerr-Dold-type vortices in axisymmetric stagnation point flow is demonstrated, extending the class of known thick vortex solutions.
Colloidal nanoparticles in liquid crystals: Bulk properties, biaxiality and untwisting in cholesterics
Prabakaran Rajamanickam, Fatimah Almutari, Apala Majumdar
We study the effects of colloidal nanoparticles (NPs) in liquid crystal samples in the dilute limit, in a Landau--de Gennes theoretical framework. The effects of the suspended NPs…
Taylor dispersion in variable-density, variable-viscosity pulsatile flows
Prabakaran Rajamanickam, Adam D. Weiss
The phenomenon of Taylor or shear-induced dispersion of a non-passive scalar field in a pulsatile pipe flow is investigated, accounting for the scalar field's influence on fluid de…
Premixed flame quenching distance between cold walls: effects of flow and Lewis number
Aiden Kelly, Rémi Daou, Joel Daou +2
This study investigates the critical conditions for flame propagation in channels with cold walls. We analyze the impact of the Lewis number and flow amplitude () on the minimum…
Hydrodynamic theory of premixed flames under Darcy's law
Prabakaran Rajamanickam, Joel Daou
This paper investigates the theoretical implications of applying Darcy's law to premixed flames, a topic of growing interest in research on flame propagation in porous media and co…
Hydrodynamic instabilities of propagating interfaces under Darcy's law
Joel Daou, Prabakaran Rajamanickam
The hydrodynamic instabilities of propagating interfaces in Hele-Shaw channels or porous media under the influence of an imposed flow and gravitational acceleration are investigate…
Shear-induced force and dispersion due to buoyancy in a horizontal Hele-Shaw cell
Prabakaran Rajamanickam
This paper investigates shear flow in a Hele-Shaw cell, driven by varying horizontal buoyancy forces resulting from a horizontal density gradient induced by a scalar field. By empl…
Effect of a shear flow on the Darrieus-Landau instability in a Hele-Shaw channel
Prabakaran Rajamanickam, Joel Daou
The Darrieus--Landau instability of premixed flames propagating in a narrow Hele-Shaw channel in the presence of a strong shear flow is investigated, incorporating also the Rayleig…
Tricritical point as a crossover between type-I and type-II bifurcations
Prabakaran Rajamanickam, Joel Daou
A tricritical point as a crossover between (stationary finite-wavelength) type-I and (stationary longwave) type-II bifurcations is identified in the study of diffusive-ther…
Three-dimensional diffusive-thermal instability of flames propagating in a plane Poiseuille flow
Aiden Kelly, Prabakaran Rajamanickam, Joel Daou +1
The three-dimensional diffusive-thermal stability of a two-dimensional flame propagating in a Poiseuille flow is examined. The study explores the effect of three non-dimensional pa…
Stability of diffusion flames under shear flow: Taylor dispersion and the formation of flame streets
Prabakaran Rajamanickam, Aiden Kelly, Joel Daou
Diffusion flame streets, observed in non-premixed micro-combustion devices, align parallel to a shear flow. They are observed to occur in mixtures with high Lewis number () fue…
Effective Lewis number and burning speed for flames propagating in small-scale spatio-temporal periodic flows
Prabakaran Rajamanickam, Joel Daou
Propagation of premixed flames having thick reaction zones in rapidly-varying, small-scale, zero-mean, spatio-temporal periodic flows is considered. Techniques of large activation…
On the two-reactant one-step activation-energy asymptotics for steady, adiabatic, planar flames with Lewis numbers of unity
Prabakaran Rajamanickam
Aspects of predictions of activation-energy asymptotics concerning the dependence of the burning velocity on the equivalence ratio are examined here through both asymptotic analyse…