Receptivity and stability of hypersonic leading-edge sweep flows around a blunt body

Xi, Youcheng; Ren, Jie; Wang, Liang; Fu, Song

doi:10.1017/jfm.2021.217

Cited by 7 publications

(7 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…2 . The bi-global solver was developed by the authors' group [22,23], where the eigenvalue spectrum is calculated using the shift-invert algorithm [24]. The parallel computation package SLEPc (http://slepc.upv.es) is called for solving the discrete generalized eigenvalue equation (26).…”

Section: Numerical Methods and Validationmentioning

confidence: 99%

Bi-Global Stability Analysis of Hypersonic Streamwise Corner Flows

Chen

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

The stability of hypersonic flows along a streamwise corner is studied here with bi-global stability theory for freestream Mach numbers 4.5 and 6.0. The steady laminar base flows are obtained by solving the corresponding self-similar solution for the corner plane and are in good agreement with direct numerical simulation. The base flow exhibits a pronounced low-speed region at the corner due to a secondary flow toward the corner causing an outflow along the corner bisector. The strength of the secondary flow increases with Mach number showing significant difference from the incompressible case. Two series of instability modes, corresponding to the slow and fast acoustic waves, are obtained in the Reynolds number-wavenumber stability diagram. In particular, the slow modes have higher frequencies and are of the second Mack modes stretched in the spanwise direction similar to the flat-plate boundary layer case. The leading slow mode has the most considerable growth rate, thus dominating the instability away from the corner. The fast instability mode F-I-even discovered in this work is an unique feature to the streamwise corner flow. This mode dominates the instability of the corner flow with increasing Mach-number effect.

show abstract

Section: Numerical Methods and Validationmentioning

confidence: 99%

Bi-Global Stability Analysis of Hypersonic Streamwise Corner Flows

Chen

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Receptivity describes the mechanism by which external disturbances (like acoustic waves, ambient turbulence, entropy fluctuations, and surface irregularities) trigger unstable modes in the boundary layer [40][41][42]. The main theoretical tools for receptivity include asymptotic analysis and multiple-mode methods [43]; Xi et al [44] recently showed that the adjoint-based bio-orthogonal eigenfunction system can be extended to complex hypersonic flows to study the global receptivity. Acoustic waves are among the most common freestream perturbations, and their receptivity in highspeed boundary layers was systematically studied by Ma and Zhong [45,46].…”

Section: Mechanisms Of Hypersonic Boundary Layer Transitionmentioning

confidence: 99%

“…There are a number of more sophisticated global-mode methods, such as the one-way Navier-Stokes (OWNS) equations [255] and the adjoint receptivity framework [44,256], which at present mainly focus on compressible laminar flows. Their extensions to turbulent flows are anticipated in the near future, to uncover more dynamic insights into wallbounded turbulence.…”

Section: Global Mode Analysismentioning

confidence: 99%

Progress in physical modeling of compressible wall-bounded turbulent flows

Cheng,

Chen,

Zhu

et al. 2024

Acta Mech. Sin.

View full text Add to dashboard Cite

Understanding, modeling and control of the high-speed wall-bounded transition and turbulence not only receive wide academic interests but also are vitally important for high-speed vehicle design and energy saving because transition and turbulence can induce significant surface drag and heat transfer. The high-speed flows share some fundamental similarities with the incompressible counterparts according to Morkovin’s hypothesis, but there are also significant distinctions resulting from multi-physics coupling with thermodynamics, shocks, high-enthalpy effects, and so on. In this paper, the recent advancements on the physics and modeling of high-speed wall-bounded transitional and turbulent flows are reviewed; most parts are covered by turbulence studies. For integrity of the physical process, we first briefly review the high-speed flow transition, with the main focus on aerodynamic heating mechanisms and passive control strategies for transition delay. Afterward, we summarize recent encouraging findings on turbulent mean flow scaling laws for streamwise velocity and temperature, based on which a series of unique wall models are constructed to improve the simulation accuracy. As one of the foundations for turbulence modeling, the research survey on turbulent structures is also included, with particular focus on the scaling and modeling of energy-containing motions in the logarithmic region of boundary layers. Besides, we review a variety of linear models for predicting wall-bounded turbulence, which have achieved a great success over the last two decades, though turbulence is generally believed to be highly nonlinear. In the end, we conclude the review and outline future works.

show abstract

“…2019; Xi et al. 2021). The geometry is described as where is the radius of curvature at the leading edge.…”

Section: Problem Description and Governing Equationsmentioning

confidence: 99%

“…The three-dimensional boundary layer over a swept wing of infinite span is considered herein. The swept wing is modelled by a swept parabolic body, which was widely adopted in previous investigations concerning cross-flow instability (see Mack & Schmid 2010;Xu et al 2019;Xi et al 2021). The geometry is described as (2.1a,b) where r 0 is the radius of curvature at the leading edge.…”

Section: Problem Description and Governing Equationsmentioning

confidence: 99%

Cross-flow vortices and their secondary instabilities in hypersonic and high-enthalpy boundary layers

Chen

Ren

et al. 2022

J. Fluid Mech.

Self Cite

View full text Add to dashboard Cite

Compared to the streamwise instability, the cross-flow instability in high-enthalpy flows has received relatively less attention, but the latter is of vital importance in the flow transition for practical configurations. This work aims to investigate the cross-flow primary and secondary instabilities in hypersonic and high-enthalpy boundary layers, considering thermochemical non-equilibrium (TCNE) effects. The numerical tools adopted include a high-order shock-fitting solver, nonlinear parabolized stability equations and secondary instability theory (SIT). The flow over a swept parabola is calculated at a free-stream Mach number of 16. It is found that TCNE has a destabilizing effect on the cross-flow mode with a non-catalytic wall. Two important non-dimensional parameters are summarized to explain this effect. One is the ratio between the wall and boundary-layer edge temperatures, and the other is the cross-flow Mach number. Due to nonlinear effects, the stationary cross-flow vortices evolve and exhibit the classic rollover structures as in lower-speed flows. Two different disturbance energy norms are used in the energy budget analysis to classify the secondary cross-flow instability modes. The results from SIT highlight the importance of type-IV modes in TCNE flows at the downwash region of the vortex. The type-IV modes arise with the combined contribution from the wall-normal (on top and trough of the vortex) and spanwise (in the downwash region) production terms. The type-I mode is dominant in the calorically perfect gas case with an adiabatic wall, whereas the type-IV mode has the largest growth rate in the TCNE cases irrespective of wall temperature variation.

show abstract

Receptivity and stability of hypersonic leading-edge sweep flows around a blunt body

Abstract: Abstract

Cited by 7 publications

References 23 publications

Bi-Global Stability Analysis of Hypersonic Streamwise Corner Flows

Bi-Global Stability Analysis of Hypersonic Streamwise Corner Flows

Progress in physical modeling of compressible wall-bounded turbulent flows

Cross-flow vortices and their secondary instabilities in hypersonic and high-enthalpy boundary layers

Contact Info

Product

Resources

About