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• W189543192 abstract "In an inviscid stably stratified fluid, with and without background shear flow, disturbances approximately satisfy the Korteweg-deVries equation. From any initial disturbance, the long time state is comprised of a train of sufficiently small noninteracting solitons and cnoidal waves. That the qualitative result is the same regardless of the presence of background shear flow is surprising and problematic with respect to geophysical applications. In this paper, the role of molecular transport mechanisms of viscosity and (thermal) diffusivity are explored by perturbation theory. It is found that these dissipative mechanisms distinguish on the basis of longevity among internal gravity waves (IGWs) when the stratification dominates the shearing (high Richardson number Ri) and the opposite. IGWs that propagate in a high Ri waveguide are substantially less damped at constant viscosity and diffusivity than in low Ri waveguides. Further, as Ri approaches 1/4 from above, IGWs vanish due to extremely large damping. These predictions qualitatively agree with observations of solitary waves in the stable Antarctic boundary layer—solitary waves are observed only when a low level jet opposes the mean wind providing a layer of high Ri along which large amplitude disturbances in temperature have been observed. If the background shear flow is linear and the buoyancy frequency is constant, wave energy decays. However, when the background conditions are more general, momentum and energy can be transferred to the perturbation flow, opposing the loss of wave energy due to friction and conduction attenuation. Some conditions under which localised solutions may be admitted even in a viscous fluid are put forward." @default.
• W189543192 created "2016-06-24" @default.
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• W189543192 date "2002-01-01" @default.
• W189543192 modified "2023-10-01" @default.
• W189543192 title "Dissipative Effects on the Evolution of Internal Solitary Waves in a Sheared, Stably Stratified Fluid Layer" @default.
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• W189543192 doi "https://doi.org/10.1007/978-1-4612-0095-6_6" @default.
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