Frequency-dependent viscous flow in channels with fractal rough surfaces

摘要: The viscous dynamic permeability of some fractal-like channels is studied. For our particular class geometries, the ratio pore surface area-to-volume tends to ∞ (but has a finite cutoff), and universal scaling permeability, k(ω), needs modification. We performed accurate numerical computations k(ω) for characterized by deterministic fractal wall surfaces, broad range dimensions. pertinent model introduces explicitly dimension frequencies across transition between inertia dominated regimes. new provides excellent agreement with simulations.