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DE GRAAF SOUSA NIELS_7934102.pdf (5.31 MB)

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Bachelor thesis

Publication date

2023-06

Publication license

cc-by-nc-nd (c) de Graaf, 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/201014

Instabilities and nonlinear dynamics in 1D active nematic fluids with flow alignment

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Abstract

The purpose of this work is to attain a clearer comprehension of the dynamic properties of active nematic fluids with flow alignment concentrating specifically on the coarsening dynamics in the nonlinear regime. We have proposed a 1D model and explored different dynamic evolutions in the nonlinear regime to compare the contrasting behaviour with and without flow alignment. In order to do so we have numerically simulated the system with different perturbations and observed their dynamic evolution. We have also addressed analytically the possible existence of a Lyapunov functional for non-zero flow alignment coefficient, with some partial conclusions on its form and possible approximation. Finally, we have checked the nonlinear nature of the primary instability

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutor: Jaume Casademunt Viader

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Fluids nemàtics, Dinàmica de fluids, Treballs de fi de grau

Subject (English)

Nematic fluids, Fluid dynamics, Bachelor's theses

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Treballs Finals de Grau (TFG) - Física

Citation

DE GRAAF SOUSA, Niels. Instabilities and nonlinear dynamics in 1D active nematic fluids with flow alignment. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/201014

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