Bistability and Hysteresis in a Nonlinear Dynamic Model of Shock Motion

Cui, Tao; Wang, Yong; Yu, Daren

doi:10.2514/1.c032175

Cited by 14 publications

(8 citation statements)

References 9 publications

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“…The model of upstream acoustic wave propagation was given in Ref. (25). But in this paper, a frictionless constant-area burner has been added, compared to the physical model in Ref.…”

Section: Upstream Acoustic Wave Propagationmentioning

confidence: 99%

“…But in this paper, a frictionless constant-area burner has been added, compared to the physical model in Ref. (25). The effect of combustion on the amplitude variation of acoustic wave propagation must be considered.…”

Section: Upstream Acoustic Wave Propagationmentioning

confidence: 99%

“…Various flow characteristics were observed and measured by applying simultaneous high-speed schlieren imaging and surface pressure measurements. Cui et al (25) developed a low-order model of the time-dependent behaviours of shock motion to describe the bistability and hysteresis behaviours of shock motion in a supersonic inlet. Theoretical studies were also carried out focusing mostly in transient regimes and ramjet combustorinlet interactions.…”

Section: Introductionmentioning

confidence: 99%

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Combustor-inlet interactions in a low-order dynamic model of ramjet engines

Liu

Cui

2020

Aeronaut. j.

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The coexistence of multiple stable states is indicative of self-organising processes occurring in the course of the combustor-inlet interactions in a ramjet engine and give rise to the appearance of various nonlinear phenomena. This paper provides a dynamic model that can describe the multiple stable states and the corresponding nonlinear effects to further investigate the dynamic interactions between combustor and inlet in a ramjet engine. Our study shows the whole engine can display distinct dynamic behaviours ranging from irreversibility to hysteresis and to various mode transitions, depending on different physical parameters. With the model, we also illustrate the role of the instability of the normal shock wave in impacting the whole engine’s nonlinear dynamics. Additionally, we extend the previous studies of the classification of combustor-inlet interactions from a static framework to a dynamic framework, which helps to clarify the transient processes of the nonlinear interactions. This work offers a quantitative illustration of the combustor-inlet interactions in a ramjet engine by revealing its nonlinear dynamics and associated characteristics, therefore advancing our understanding of the nonlinear phenomena that exhibit in ramjet engines.

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“…The model of upstream acoustic wave propagation was given in Ref. (25). But in this paper, a frictionless constant-area burner has been added, compared to the physical model in Ref.…”

Section: Upstream Acoustic Wave Propagationmentioning

confidence: 99%

Section: Upstream Acoustic Wave Propagationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Combustor-inlet interactions in a low-order dynamic model of ramjet engines

Liu

Cui

2020

Aeronaut. j.

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show abstract

“…Combined with the disturbance propagation model, duct volume effect and the equilibrium manifold linearization approach used by Cui et al (2014), the equations describing the dynamics of the shock train motion can be concluded as follows:…”

Section: Shock Train Modellingmentioning

confidence: 99%

“…A simple first-order transient response model (Cui, Wang & Yu 2014) is used to describe the variation of the pressure behind the first separation shock , which is given by where the subscript ‘’ denotes the flow condition at the exit. The propagation time constant is calculated as and the location of the throat is 0.46.…”

Section: Problem Description and Model Equationsmentioning

confidence: 99%