Publication Abstracts

Miller and Lindzen 1988

Miller, R.L., and R.S. Lindzen, 1988: Viscous destabilization of stratified shear flow for Ri > 1/4. Geophys. Astrophys. Fluid Dyn., 42, 49-91, doi:10.1080/03091928808208858.

Viscosity may allow instability in a stratified shear flow even though the Richardson number (Ri) is everywhere greater than one-quarter. This is in contrast to an inviscid fluid, where any flow with Ri>1/4 is stable. While a rigorous upper bound has not been obtained, normal mode instabilities were found for Ri as large as 0.349. A description of the instability as an over-reflecting wave suggests why viscosity, which typically damps perturbations, can in this instance lead to their amplification.

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BibTeX Citation

@article{mi07910x,
  author={Miller, R. L. and Lindzen, R. S.},
  title={Viscous destabilization of stratified shear flow for Ri > 1/4},
  year={1988},
  journal={Geophys. Astrophys. Fluid Dyn.},
  volume={42},
  pages={49--91},
  doi={10.1080/03091928808208858},
}

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RIS Citation

TY  - JOUR
ID  - mi07910x
AU  - Miller, R. L.
AU  - Lindzen, R. S.
PY  - 1988
TI  - Viscous destabilization of stratified shear flow for Ri > 1/4
JA  - Geophys. Astrophys. Fluid Dyn.
VL  - 42
SP  - 49
EP  - 91
DO  - 10.1080/03091928808208858
ER  -

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