Bounds on Surface Stress-Driven Shear Flow

@article{Hagstrom2014BoundsOS,
  title={Bounds on Surface Stress-Driven Shear Flow},
  author={George I. Hagstrom and Charles R. Doering},
  journal={J. Nonlinear Science},
  year={2014},
  volume={24},
  pages={185-199}
}
The background method is adapted to derive rigorous limits on surface speeds and bulk energy dissipation for shear stress driven flow in two and three dimensional channels. By-products of the analysis are nonlinear energy stability results for plane Couette flow with a shear stress boundary condition: when the applied stress is gauged by a dimensionless Grashoff number Gr, the critical Gr for energy stability is 140 in two dimensions, and 51.7 in three dimensions. We derive upper bounds on the… CONTINUE READING

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