17 papers
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…
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…
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…
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.…
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…