RT Journal Article
T1 Weak-shock interactions with transonic laminar mixing layers of fuels for high-speed propulsion
A1 Huete Ruiz de Lira, César
A1 Urzay Lobo, Javier
A1 Sánchez Pérez, Antonio Luis
A1 Forman, Williams A.
AB This paper extends to transonic mixing layers an analysis of Lighthill ("Reflection at a Laminar Boundary Layer of a Weak Steady Disturbance to a Supersonic Stream, Neglecting Viscosity and Heat Conduction," Quarterly Journal of Mechanics and Applied Mathematics, Vol. 54, No. 3, 1950, pp. 303-325.) on the interaction between weak shocks and laminar boundary layers. As in that work, the analysis is carried out under linear-inviscid assumptions for the perturbation field, with streamwise changes of the base flow neglected, as is appropriate given the slenderness of the mixing-layer flow. The steady-disturbance profile is determined by taking a Fourier transform along the longitudinal coordinate. Closed-form analytical functions for the pressure field are derived in the small- and large-wave-number limits, and vorticity disturbances are obtained as functions of the pressure perturbations. The analysis is particularized to ethylene&-air and hydrogen&-air mixing layers, for which the dynamics are of current interest for hypersonic propulsion. The results provide, in particular, the effective distance of upstream influence of the pressure perturbation in the subsonic stream. The resulting value, which scales with the thickness of the subsonic layer, is much smaller than the upstream influence distances encountered in boundary layers. This study may serve as a basis to understand shock-induced autoignition and flameholding phenomena in simplified versions of non-premixed supersonic-combustion problems.
PB American Institute of Aeronautics and Astronautics, Inc.
SN 0001-1452
SN 1533-385X (online)
YR 2016
FD 2016-03
LK https://hdl.handle.net/10016/32700
UL https://hdl.handle.net/10016/32700
LA eng
NO This work was supported by the U.S. Air Force Office of Scientific Research grants FA9550-12-1-0138 and FA9550-14-1-0219. We aregrateful to Amable Liñán for useful conversations at the early stages of this project.
DS e-Archivo
RD 1 sept. 2024