Topic

# Stratified flow

About: Stratified flow is a research topic. Over the lifetime, 3872 publications have been published within this topic receiving 84830 citations.

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TL;DR: In this article, the authors consider simplification based on the observation that the parameters governing the degree of anisotropy are small, and propose a simplification approach for the problem of a planetary boundary layer subject to a diurnally varying surface heat flux or surface temperature.

Abstract: Turbulence models centered on hypotheses by Rotta and Kolmogoroff are complex. In the present paper we consider systematic simplifications based on the observation that parameters governing the degree of anisotropy are small. Hopefully, we shall discern a level of complexity which is intuitively attractive and which optimizes computational speed and convenience without unduly sacrificing accuracy. Discussion is focused on density stratified flow due to temperature. However, other dependent variables—such as water vapor and droplet density—can be treated in analogous fashion. It is, in fact, the anticipation of additional physical complexity in modeling turbulent flow fields that partially motivates the interest in an organized process of analytical simplification. For the problem of a planetary boundary layer subject to a diurnally varying surface heat flux or surface temperature, three models of varying complexity have been integrated for 10 days. All of the models incorporate identical empirica...

2,410 citations

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01 Jan 2003TL;DR: In this article, some remarkable features of stratified flow are discussed, including linear and nonlinear instability of strongly stratified flows with strong stratification Rotating shallow water theory Linear and weakly nonlinear theory of dispersive waves with geophysical examples Simplified equations for the dynamics of strongly-strained flow The stratified quasi-geostrophic equations as a singular limit of the rotating Boussinesq equations.

Abstract: Introduction Some remarkable features of stratified flow Linear and nonlinear instability of stratified flows with strong stratification Rotating shallow water theory Linear and weakly nonlinear theory of dispersive waves with geophysical examples Simplified equations for the dynamics of strongly stratified flow The stratified quasi-geostrophic equations as a singular limit of the rotating Boussinesq equations Introduction to averaging over fast waves for geophysical flows Waves and PDEs for the equatorial atmosphere and ocean Bibliography.

675 citations

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25 Aug 1995

TL;DR: In this paper, the authors present a model of two-layer flows over two-dimensional obstacles and a three-dimensional topography with a free surface, and apply it to practical modelling of flow over complex terrain.

Abstract: 1. Background 2. The flow of a homogeneous layer with a free surface 3. Two-layer flows 4. Waves in stratified fluids 5. Stratified flow over two-dimensional obstacles 6. Stratified flow past three-dimensional topography 7. Applications to practical modelling of flow over complex terrain.

631 citations

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TL;DR: In this paper, an analysis is made of Gage's proposal that the horizontal energy spectrum at mesoscale wavelengths is produced by upscale energy transfer through quasi-two-dimensional turbulence.

Abstract: An analysis is made of Gage's proposal that the horizontal energy spectrum at mesoscale wavelengths is produced by upscale energy transfer through quasi-two-dimensional turbulence. It is suggested that principal sources of such energy can be found in decaying convective clouds and thunderstorm anvil outflows. These are believed to evolve similarly to the wake of a moving body in a stably stratified flow. Following the scale analysis by Riley, Metcalfe and Weissman it is expected that, in the presence of strong stratification, initially three-dimensionally isotropic turbulence divides roughly equally into gravity waves and stratified (quasi-two- dimensional) turbulence. The former then propagates away from the generation region, while the latter propagates in spectral space to larger scales, forming the −5/3 upscale transfer spectrum predicted by Kraichnan. Part of the energy of the stratified turbulence is recycled into three-dimensional turbulence by shearing instability, but the upscale escape ...

581 citations

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TL;DR: In this article, an approximate analytical model was developed to estimate scalar flux footprint in thermally stratified atmospheric surface layer flows based on a combination of Lagrangian stochastic dispersion model results and dimensional analysis.

578 citations