Spatiotemporal rheochaos in nematic hydrodynamics
Buddhapriya Chakrabarti, Moumita Das, Chandan Dasgupta, Sriram, Ramaswamy, A.K. Sood
TL;DR
This paper investigates spatiotemporal chaos in sheared nematic fluids by analyzing coupled nonlinear PDEs, revealing irregular shear-banding behavior that is confirmed to be chaotic in both space and time.
Contribution
It introduces a detailed numerical study of spatiotemporal rheochaos in nematic hydrodynamics, linking observed phenomena to nonlinear PDE dynamics.
Findings
Identification of spatiotemporal chaos in nematic shear flow
Observation of irregular shear-banding patterns
Numerical evidence confirming chaos as a spatiotemporal phenomenon
Abstract
Motivated by the observation of rheochaos in sheared wormlike micelles [Bandyopadhyay et al., Phys. Rev. Lett, 84 2022, (2000); Europhys. Lett. 56, 447 (2001); Pramana 53, 223 (1999)] we study the coupled nonlinear partial differential equations for the hydrodynamic velocity and order parameter fields in a sheared nematogenic fluid. In a suitable parameter range, we find irregular, dynamic shear-banding and establish by decisive numerical tests that the chaos we observe in the model is spatiotemporal in nature.
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