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Dimensional scaling of flame propagation in discrete particulate clouds
Fredric Y. K. Lam, XiaoCheng Mi, Andrew J. Higgins
The critical dimension necessary for a flame to propagate in suspensions of fuel particles in oxidizer is studied analytically and numerically. Two types of models are considered:…
The Navier-Stokes equations in periodic domains
F. Lam
In the present technical note, we establish that the setting of the primitive variables of the unsteady incompressible fluid dynamics is ill-formulated in spatially periodic domain…
Viscous flow regimes in unit square: Part 4. Vorticity dynamics from monopoles to multipoles
F. Lam
The initial-boundary value problem of the vorticity equation has been solved numerically by an iterative method. A variety of initial vorticity distributions is specified. All of t…
Viscous flow regimes in unit square: Part 3. Phenomena of leapfrogging and approaching among multiple vortex pairs
F. Lam
In the present note, we solved numerically the viscous vorticity equation of the initial-boundary value problem describing the classic Helmholtz phenomena of vortex interaction. In…
Viscous flow regimes in a square. Part 1. Lid-driven cavity
F. Lam
In the present paper, we examine the viscous flow evolution in a square cavity. Coupled with the stream function, the initial-boundary value problem of the vorticity is numerically…
Viscous flow regimes in a square. Part 2. Impact and rebound process of vortex dipole-wall interaction
F. Lam
In this technical note, we demonstrate the robustness of our numerical scheme of vorticity iteration in dealing with the dipole-wall interaction at small viscosity, with emphasis o…