Abstract
Periodically forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applications in transportation, aeronautics, and energy conversion. Here we derive a mechanistic model of the dynamics of forced turbulent oscillator flows by leveraging a comprehensive experimental study of the turbulent wake behind a D-shaped body under periodic forcing. We confirm the role of resonant triadic interactions in the forced flow by studying the dominant components in the power spectra across multiple excitation frequencies and amplitudes. We then develop an extended Stuart-Landau model that captures the system dynamics and synchronization regions. Further, it is possible to identify the model coefficients from sparse measurement data.
Highlights
Forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applications in transportation, aeronautics, and energy conversion
Fluid flows that display unsteadiness characterized by a welldefined frequency and that are insensitive to low-level external noise are known as oscillator flows[1,2]
The breadth and quality of our dataset reveals previously unobserved resonances and frequency lock-on regions. It enables the construction of heat maps showing the power spectral density (PSD) of the wake response as a function of the excitation frequency
Summary
Forced, oscillatory fluid flows have been the focus of intense research for decades due to their richness as a nonlinear dynamical system and their relevance to applications in transportation, aeronautics, and energy conversion. Fluid flows that display unsteadiness characterized by a welldefined frequency and that are insensitive to low-level external noise are known as oscillator flows[1,2] These flows have been the focus of research efforts for over 75 years[3,4], in part because of their rich physics, and because of their relevance to numerous applications where aerodynamic forces and mixing play a significant role, such as transportation, aeronautics, and energy conversion[5]. Periodic forcing continues to present an appealing flow control strategy for a wide range of applications, as it has been shown to effectively reduce bluff body drag[26], increase lift of airfoils[27], and enhance mixing in heat exchangers[28]
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