On the existence of two-dimensional nonlinear steady states in plane Couette flow

@article{Rincon2007OnTE,
  title={On the existence of two-dimensional nonlinear steady states in plane Couette flow},
  author={F. Rincon},
  journal={Physics of Fluids},
  year={2007},
  volume={19},
  pages={074105-074105}
}
  • F. Rincon
  • Published 2007
  • Physics
  • Physics of Fluids
The problem of two-dimensional steady nonlinear dynamics in plane Couette flow is revisited using homotopy from either plane Poiseuille flow or from plane Couette flow perturbed by a small symmetry-preserving identity operator. Our results show that it is not possible to obtain the nonlinear plane Couette flow solutions reported by Cherhabili and Ehrenstein [Eur. J. Mech. B/Fluids 14, 667 (1995)] using their Poiseuille-Couette homotopy. We also demonstrate that the steady solutions obtained by… Expand

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