Simulation of a turbulent, dusty boundary layer behind a shock

Shock Waves @ Marseille III

“…This approach was used previously to simulate the turbulent boundary layer formed by a planar shock propagating along a dusty wall (Kuhl et al 1990); the calculated mean velocity and density profiles were shown to agree well with the shock-tube measurements of Batt et al (1988). Dust scouring occurs naturally in the calculation as the turbulent eddies entrain dust from the fluidized bed, thus alleviating the need for a dust injection model.…”

“…The specific case considered was that of a uniform airflow over a dusty wall with freestream Mach number 0.3. To reduce the total computational time for the calculation, the maximum perturbation amplitude used in the present study was five percent instead of the one percent value used in our previous study (Kuhl et al 1990). As in our previous work (Kuhl et al 1990), the dust was assumed to be in velocity and temperature equilibrium with the air, and the entire mixture was Shock Waves @ Marseille In Editors: R. Bmn, L. Z. Dumitrescu modeled as a perfect gas with a constant ratio of specific heats, 1m = 1.4.…”

Dust entrainment by means of a planar shock induced vortex over loose dust layers

“…3 and 4, resembles the surface instabilities which were photographed by Borisov et al (1967). Kuhl's (1990Kuhl's ( , 1992 calculations show many vortices of similar shape.…”

“…In order to overcome the complications associated with the propagation of shock waves in condensed dust layers, Kuhl et al (1990) replaced the condensed dust layer with a fluidized dust bed. Using this simplification they could ignore in their numerical computation the interaction between the dust particles and, in fact, consider the dust phase as a pseudo-gas.…”

A New Facility for Studying Shock-Wave Passage Over Dust Layers

“…However, there is no mathematical model that could describe all stages of the process of dust lifting, including propagation of wave processes in the layer retaining cohesion, processes of turbulent mixing, and specific features of force interaction of the phases (Fedorov, 2004). A direct numerical simulation of the turbulent boundary layer formation was performed by Kuhl et al and found that the dense gas approximation is an accurate model of two phase dusty layer flows (Kuhl, et al, 1990). Fedorov developed a model of an equilibrium heterogeneous medium with allowances for turbulence and verified the model by comparisons with experimental dependencies of pressure on the substrate (Fedorov & Fedorchenko, 2005).…”