Statistical characterization of a shock interacting with an inclined gas column

Romero, Brian E.; Reisner, Jon M.; Vorobieff, Peter; Poroseva, Svetlana V.

doi:10.1017/jfm.2023.660

Statistical characterization of a shock interacting with an inclined gas column

Journal Article · Tue Sep 19 00:00:00 EDT 2023 · Journal of Fluid Mechanics

DOI:https://doi.org/10.1017/jfm.2023.660· OSTI ID:2001027

; Reisner, Jon M.; ;

We present a statistical characterization of the interaction between a planar shock and a finite-diameter, cylindrical column of dense gas based on three-dimensional, large-eddy simulation results. In the simulation, the column of gas is initially inclined at an angle $$\alpha _0$$ with respect to the shock plane. Effects of the initial column angle on the mixing characteristics are examined at Mach number 2.0 for column incline angles $$1^\circ$$ , $$5^\circ$$ , $$10^\circ$$ and $$30^\circ$$ . Mean velocity profiles show that the column angle affects the gas velocity components in the vertical plane, but not in the spanwise direction. The gas undergoes higher initial upward acceleration at larger initial column incline angles. With time, the gas motion tends to become one-dimensional in the streamwise direction. Initially, velocity fluctuations are most intense within the interior of the column, but concentrate near the column leading edge over time. At high wavenumbers $$\kappa$$ , the turbulent kinetic energy spectra follow a power-law scaling of $$\kappa ^{-1}$$ . The structure functions of the mass fraction do not clearly demonstrate power-law scaling except at early times for $$\alpha _0=30^\circ$$ , manifesting overall trends very similar to those observed in earlier experiments. Probability distributions of the mass fraction show independence of the mean and the standard deviation of the mixed gas on $$\alpha _0$$ . The column angle was also found to have little effect on the mixing efficiency characterized by the molecular mixedness. Velocity components in the streamwise and transverse directions tend towards a bimodal distribution for larger $$\alpha _{0}$$ .

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Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001; NA0004108

OSTI ID:: 2001027

Alternate ID(s):: OSTI ID: 2005840

Journal Information:: Journal of Fluid Mechanics, Journal Name: Journal of Fluid Mechanics Vol. 971; ISSN 0022-1120

Publisher:: Cambridge University Press (CUP)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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