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={Geophysical and Astrophysical Fluid Dynamics},
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. JO - Geophysical and Astrophysical Fluid Dynamics VL - 42 SP - 49 EP - 91 DO - 10.1080/03091928808208858 ER -
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