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A Boundary-Layer Scaling for Turbulent Katabatic Flow 总被引：1，自引：1，他引：0
Scaling relationships are proposed for the turbulent katabatic flow of a stably stratified fluid down a homogeneously cooled planar slope—the turbulent analogue of a Prandtl-type slope flow. The \(\Pi \) Theorem predicts that such flows are controlled by three non-dimensional parameters: the slope angle, the Prandtl number, and a Reynolds number defined in terms of the surface thermal forcing (surface buoyancy or surface buoyancy flux), Brunt-Väisälä frequency, slope angle, and molecular viscosity and diffusivity coefficients. However, by exploiting the structure of the governing differential equations in a boundary-layer form, scaled equations are deduced that involve only two non-dimensional parameters: the Prandtl number and a modified Reynolds number. In the proposed scaling framework, the slope angle does not appear as an independent governing parameter, but merely acts as a stretching factor in the scales for the dependent and independent variables, and appears in the Reynolds number. Based on the boundary-layer analysis, we hypothesize that the full katabatic-flow problem is largely controlled by two rather than three parameters. Preliminary tests of the scaling hypothesis using data from direct numerical simulations provide encouraging results. 相似文献
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Upscaling of elastic properties of anisotropic sedimentary rocks 总被引：1，自引：0，他引：1
Irina O. Bayuk Mike Ammerman Evgeni M. Chesnokov 《Geophysical Journal International》2008,172(2):842-860
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This paper investigates the behavior of katabatic flow induced by an idealized, thermally inhomogeneous surface; a strip of
surface cooling that has a finite width in the along-slope direction and is infinitely long in the cross-slope direction.
Numerical simulations using the Boussinesq equations of motion and the thermodynamic energy equation are performed for various
slope angles and strip lengths. The underlying dynamical processes in the katabatic jet and the near environment are explored
by considering the along-slope momentum balance after a steady state has been achieved.
The inhomogeneous nature of the surface forcing also induces a response in the environment that extends very far away from
the sloped surface. Nearly horizontal jets close to the vertical heights of both sides of the cold strip are observed in the
environment. A horizontal vorticity analysis is performed on these horizontal jets to ascertain their dynamical structure. 相似文献
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Norman Silverberg Aida Martínez Sergio Aguíiga Jos D. Carriquiry Nancy Romero Evgeni Shumilin Soledad Cota 《Estuarine, Coastal and Shelf Science》2004,59(4):575-587
The vertical flux of particulate matter at 330 m depth in San Lázaro Basin off southern Baja California ranged from 63 to 587 mg m−2 d−1 between August and November 1996. Organic carbon contents were between 5.6 and 14.8%, yielding flux rates of 9–40 mgC m−2 d−1. In December 1997 and January 1998, at the height of the strong El Niño event, the respective fluxes (47–202 mg m−2 d−1 and 3–8 mgC m−2 d−1) were comparable. The February–June 1998 records, however, revealed sharply reduced mass (1–6 mg m−2 d−1) and organic carbon (0.2–0.8 mgC m−2 d−1) fluxes. The organics collected in 1996 were predominantly autochthonous (δ13C=−22‰; C/N=8). The variations in δ15N (8.3–11.0‰) suggest an alternation of new and regenerated production, possibly associated with fluctuations in the intensity of deep mixing during that autumn. The relatively high organic matter fluxes in December 1997 appear to be associated with regenerated production. The average composition from February to June 1998 (δ13C=−23.6‰; 15N=11.7‰; C/N=10.5) indicates degraded material of marine origin. The maximum δ15N value found (14‰) suggests that deeper, denitrified waters were brought to the surface and possibly advected laterally. Regime changes in the waters of the basin occur at 6–10 week intervals, evidenced by concurrent shifts in most of the measured parameters, including fecal pellet types and metal chemistry. The marine snow-dominated detritus collected showed a shift from a mixed diatom-rich-radiolarian-coccolith assemblage in late 1996 to a coccolith-dominated assemblage, including the contents of fecal pellets, during the 1997–1998 El-Niño period. T–S profiles, plankton analysis and chlorophyll contents of the upper water column indicated that the strong phytoplankton bloom, normally associated with seasonal upwelling along the Pacific coast of Baja, did not occur during the spring of 1998. The persistence of oligotrophic conditions during the 1997–1998 El Niño event favored the dominance of nanoplankton and reduced the vertical flux of particles. 相似文献
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Direct numerical simulation (DNS) is applied to investigate properties of katabatic and anabatic flows along thermally perturbed
(in terms of surface buoyancy flux) sloping surfaces in the absence of rotation. Numerical experiments are conducted for homogeneous
surface forcings over infinite planar slopes. The simulated flows are the turbulent analogs of the Prandtl (1942) one-dimensional
laminar slope flow. The simulated flows achieve quasi-steady periodic regimes at large times, with turbulent fluctuations
being modified by persistent low-frequency oscillatory motions with frequency equal to the product of the ambient buoyancy
frequency and the sine of the slope angle. These oscillatory wave-type motions result from interactions between turbulence
and ambient stable stratification despite the temporal constancy of the surface buoyant forcing. The structure of the mean-flow
fields and turbulence statistics in simulated slope flows is analyzed. An integral dynamic similarity constraint for steady
slope/wall flows forced by surface buoyancy flux is derived and quantitatively verified against the DNS data. 相似文献
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Effects of variations in fluid properties and fracture geometry on dispersion,anisotropy, and reflection in media with planar fractures 
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下载免费PDF全文 Our objective was to discover the effect of variations in fluid properties and fracture geometry on the velocity of seismic wave propagation in fluid‐saturated media with parallel planar fractures. We used numerical models calculated by analytical solutions to examine the behaviour of P‐wave phase velocity dispersion in the normal direction to layering, in non‐porous and porous media with planar fractures. We also examined the anisotropy of low frequency phase and group velocities of fast and slow P‐waves and angular‐dependent reflection coefficients in media with planar fractures, under conditions of saturation by fluids with varying bulk moduli, densities, and fracture apertures. We defined several parametre , , and characterising dispersion, characterising anisotropy, characterising the difference between fast and slow modes, and R0 and characterising reflection. Our results show that the behaviour of dispersion shows wider stopbands in the case of gas saturation. Concavity indicator of dispersion for gas saturation was greater than that for liquid saturation and is usually greater than one. Anisotropy is more sensitive to bulk modulus contrast than to density contrast between the solid and the fluid, and is more sensitive to density contrast than to bulk modulus contrast. The case of gas saturation usually had a greater negative R0 and a greater value of compared with those of brine and heavy and light oil saturations. Our results are helpful in distinguishing fluid types saturating geophysical fractures and estimating the aperture and spacing of planar fractures. In seismic exploration, bulk modulus and fluid density can provide useful information in distinguishing among brine, oil, and gas; fracture geometry is important to estimate the permeability of reservoirs. 相似文献
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Timothy Bonin Phillip Chilson Brett Zielke Evgeni Fedorovich 《Boundary-Layer Meteorology》2013,146(1):119-132
The evolution of the lower portion of the planetary boundary layer is investigated using the Small Multifunction Research and Teaching Sonde (SMARTSonde), an unmanned aerial vehicle developed at the University of Oklahoma. The study focuses on the lowest 200 m of the atmosphere, where the most noticeable thermodynamic changes occur during the day. Between October 2010 and February 2011, a series of flights was conducted during the evening hours on several days to examine the vertical structure of the lower boundary layer. Data from a nearby Oklahoma Mesonet tower was used to supplement the vertical profiles of temperature, humidity, and pressure, which were collected approximately every 30?min, starting 2 h before sunset and continuing until dusk. From the profiles, sensible and latent heat fluxes were estimated. These fluxes were used to diagnose the portion of the boundary layer that was most affected by the early evening transition. During the transition period, a shallow cool and moist layer near the ground was formed, and as the evening progressed the cooling affected an increasingly shallower layer just above the surface. 相似文献