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EPTT 2024
14th Spring School on Transition and Turbulence
LINEAR STABILITY ANALYSES OF GÖRTLER VORTICES IN NON-NEWTONIAN BOUNDARY LAYER FLOWS
Submission Author:
Maria Victória Paulino de Souza , SP , Brazil
Co-Authors:
Maria Victória Paulino de Souza, Josuel Kruppa Rogenski, Marcio Teixeira de Mendonca, Beatriz Liara Carreira, Leandro Franco de Souza
Presenter: Maria Victória Paulino de Souza
doi://10.26678/ABCM.EPTT2024.EPT24-0045
Abstract
Transition to turbulence in non-Newtonian fluids is important since a small fraction of polymers in a flow can significanly reduce drag in turbulent flows. Under the influence of centrifugal effects, Newtonian fluid flow transition may occur due to the development of Görtler vortices. In this paper, we conduct linear stability theory analyses to investigate the influence of curvature on the instability of non-Newtonian fluid flows using the Giesekus model. The results indicate that Görtler instability is also present in non-Newtonian fluid flows, with only one unstable and steady mode observed. In the cases examined, the non-Newtonian flows exhibit a greater destabilizing effect compared to Newtonian flows.
Keywords
Görtler instability, Linear stability theory, Giesekus model
