Identifying the route to chaos in the flow past a flapping airfoil

Badrinath, Sandeep; Bose, Chandan; Sarkar, Saswati

doi:10.1016/j.euromechflu.2017.05.012

Cited by 28 publications

(21 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Most of them have reported a quasi-periodic transition to chaos, though no rigorous dynamical tests were used to establish this route. Badrinath, Bose & Sarkar (2017) have observed the presence of an intermittency route to chaos in pure heaving and have also established the dynamics using classical and non-classical tools based on nonlinear dynamical theories. For a pitching airfoil as well, a quasi-periodic route to chaos was reported at high pitch amplitudes by Zaman, Young & Lai (2017).…”

Section: Introductionmentioning

confidence: 99%

Dynamic interlinking between near- and far-field wakes behind a pitching–heaving airfoil

2021

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamic interlinking between near- and far-field wakes behind a pitching–heaving airfoil

2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…(2016): pure plunging NACA0015 aerofoil at and to in steps of , ; plotted as . Badrinath et al. (2017): pure plunging NACA0012 aerofoil at , and , with fixed , ; plotted as . Majumdar et al. (2020 a ,b): pure plunging elliptic-shaped foil with thickness at , , and , with fixed , ; plotted as . Zaman et al.…”

Section: Dynamical Transition Boundaries and An Order-to-chaos Mapmentioning

confidence: 99%

“…3.1. The parametric space It is known from our earlier studies that periodic-to-chaotic transition happens around κh ≥ 1.5 (Badrinath et al 2017;Bose & Sarkar 2018;Majumdar et al 2020a;Bose et al 2021). However, only the plunge amplitude was varied in those cases, focusing solely on the effects of this single parameter on the system dynamics.…”

Section: Dynamical Transitions In the Flow Fieldmentioning

confidence: 99%

“…However, a few recent studies have also highlighted interesting changes from periodicity to aperiodicity in the wake for different canonical flapping kinematics, e.g. pure plunging (Lewin & Haj-Hariri 2003; Badrinath, Bose & Sarkar 2017; Majumdar, Bose & Sarkar 2020 a ), pure pitching (Zaman, Young & Lai 2017) and combined pitching–plunging (Lentink et al. 2010; Bose & Sarkar 2018; Bose, Gupta & Sarkar 2021).…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transition boundaries and an order-to-chaos map for the flow field past a flapping foil

2022

Self Cite

View full text Add to dashboard Cite

The present study focuses on identifying dynamical transition boundaries and presents an order-to-chaos map for the unsteady flow field of a flapping foil in the low Reynolds number regime. The effect of an extensive parametric space, covering a large number of kinematic conditions, has been investigated. It is shown that the conventional non-dimensional parameters cannot effectively capture the changes in the flow field due to the variations in the relevant kinematic parameters and are unable to demarcate the dynamical transition boundaries. Two new non-dimensional measures – maximum effective angle of attack and a leading-edge amplitude-based Strouhal number – are proposed here, which can capture the physical effect of the parametric variations on the wake dynamics. The study proposes generalised transition boundaries and an order-to-chaos map through a transitional regime in terms of these two newly proposed parameters. Published data from the existing literature have also been tested to verify the proposed transition model. It is seen that despite the wide variety of the parametric combinations, the dynamical states from both the new and the published data corroborate well the proposed boundaries, giving credibility to the order-to-chaos map.

show abstract

“…These recurrence paradigms have been applied to analyze the behaviour of dynamic systems in different disciplines of research like mathematics, strange attractors, applied physics, physiology, medicine, environmental, earth sciences, psychology and the stock market. Recurrence studies of flapping wing in 2D and constant inflow condition have been reported in [47] to establish the intermittence route to chaos for a flapping system with purely vertically plunge kinematics. Plunging amplitude was considered as the control parameter.…”

Section: Introductionmentioning

confidence: 99%

Recurrence studies of insect-sized flapping wings in inclined-stroke plane under gusty conditions

Mathur

Vengadesan

2019

Sādhanā

View full text Add to dashboard Cite

Global recurrence plots (GRPs) and windowed recurrence quantification analysis (WRQA) are two recurrence paradigms which find wide applications to detect the onset of instability in a dynamic system. The present work reports the attempt to employ these recurrence paradigms to assess the effect of frontal gust on the force patterns of an insect-sized flapping wing in the inclined-stroke plane. Horizontal and vertical forces generated by the flapping wing in the presence of gusts of the form u G u w ¼ u 1 u w þ u g u w sin 2p f g f w t were numerically estimated in the 2D reference frame for Re = 150. Nine gusts with combinations of the ratio of gust frequency to wing's flapping frequency, f g /f w = 0.1, 0.5 and 1 and ratio of gust velocity amplitude to root mean square averaged flapping velocity, u g /u w = 0.1, 0.5 and 1 were considered. Recurrence studies of the forces were carried out to find out the gusty condition, which would trigger an onset of unstable behaviour. Studies indicated a possible onset of instability in the force patterns for gust with f g /f w = 0.1 and u g /u w = 1. The onset of unstable behaviour was prominently captured by WRQA of the vertical force coefficient based on determinism (DET) and laminarity (LAM) series.

show abstract

Identifying the route to chaos in the flow past a flapping airfoil

Cited by 28 publications

References 63 publications

Dynamic interlinking between near- and far-field wakes behind a pitching–heaving airfoil

Dynamic interlinking between near- and far-field wakes behind a pitching–heaving airfoil

Transition boundaries and an order-to-chaos map for the flow field past a flapping foil

Recurrence studies of insect-sized flapping wings in inclined-stroke plane under gusty conditions

Contact Info

Product

Resources

About