Numerical Simulation of Gas Dynamics Conductivity of Micro Channels with Consideration of Surface Structure

Rough Surface Aerodynamic Computation in Rarefied Gas Flow Applying the Solution of Inverse Problem

“…It means that the mixture of Gaussian distributions defining poly-Gaussian field has Gaussian component with the maximal value v 0 of the variable v. In all other cases poly-Gaussian moments (7) are asymptotically significantly different from Gaussian moments. Thus, aerodynamic macro-parameters of poly-Gaussian random rough surface are usually substantially different from corresponding macro-parameters of Gaussian random rough surface.…”

“…Gaussian homogeneous isotropic random fields have been studied as a model of the roughness in St.-Petersburg State University [5], [6], and generalized to poly-Gaussian model of the roughness in [4]. Both models have several advantages in comparison with other different more simple models of surface roughness applied in practice, including fractal roughness [5], [11], polygonalline model [7], and the surfaces with conical holes [8], and constructed of flat elements [9]- [10]. In particular, the disadvantage of these simple models is accounting only of large-scale roughness input into momentum and energy exchange coefficients on the surface [5].…”

“…In many other papers (e.g. in [7]- [10]) aerodynamic shadowing is eliminated from the description of the interaction between the rarefied gas flow and the rough surface.…”

“…Simulating the calculated distribution, we obtain the velocities v of gas particles that are reflected from the rough surface. Described algorithm has an advantage in computational speed over the methods simulating the shape of the rough surface by simple geometrical models [7], [8], [9]. This is the result of taking into consideration the entire shape information at the preliminary stage of computation.…”