The Kelvin–Helmholtz (KH) instability is traditionally viewed as an initial-value problem, wherein wave perturbations of a
two-layer shear flow grow over time into billows and eventually generate vertical mixing. Yet, the instability can also be
viewed as a boundary-value problem. In such a framework, there exists an upstream condition where a lighter fluid flows over
a denser fluid, wave perturbations grow downstream to eventually overturn some distance away from the point of origin. As
the reverse of the traditional problem, this flow is periodic in time and exhibits instability in space. A natural application
is the mixing of a warmer river emptying into a colder lake or reservoir, or the salt-wedge estuary. This study of the KH
instability from the perspective of a boundary-value problem is divided into two parts. Firstly, the instability theory is
conducted with a real frequency and complex horizontal wavenumber, and the main result is that the critical wavelength at
the instability threshold is longer in the boundary-value than in the initial-value situation. Secondly, mass, momentum and
energy budgets are performed between the upstream, unmixed state on one side, and the downstream, mixed state on the other,
to determine under which condition mixing is energetically possible. Cases with a rigid lid and free surface are treated separately.
And, although the algebra is somewhat complicated, both end results are identical to the criterion for complete mixing in
the initial-value problem. 相似文献
A tidal bore impacts significantly on the estuarine ecosystem, although little is known on the flow field, mixing and sediment
motion beneath tidal bores. In the absence of detailed systematic field measurements, a quasi-steady flow analogy was applied
to investigate undular tidal bores with inflow Froude numbers between 1.25 and 1.6. Experimental results indicated that rapid
flow redistributions occur beneath the free-surface undulations, with significant variations in bed shear stress between wave
crests and troughs. Dynamic similarity was used to predict detailed flow characteristics of undular tidal bores. The effects
of periodic loading on river sediments, scour of river bed and flow mixing behind the bore are discussed. A better understanding
of these processes will contribute to better management practices in tidal bore affected rivers, including the Styx and Daly
rivers in tropical Australia. 相似文献
A method is developed to estimate the stress at the surface in a portable wind tunnel for wind erosion studies. The boundary layer height and the pressure gradient are used in a simple expression from the Kármán Integral Momentum Equation. Values of friction velocity u* are within 10% of experimental values obtained through correlation techniques, including measurements of differential pressures with the Murdoch Turbulence Probe MTP and the X-wire, hot-wire anemometer XWA. Wind velocity and stress profiles reveal logarithmic trends and a constant stress layer near the surface in the DAWA portable wind tunnel. Realignment of the statistics with the mean wind is essential. 相似文献
Objective: Red light cameras (RLCs) have generated heated discussions over issues of safety effectiveness, revenue generation, and procedural due process. This study focuses on the safety evaluation of RLCs in Missouri, including the economic valuation of safety benefits. The publication of the national Highway Safety Manual (HSM; American Association of State Highway and Transportation Officials) in 2010 produced statistical safety models for intersections and spurred the calibration of these models to local conditions.
Methods: This study adds to existing knowledge by applying the latest statistical methodology presented in the HSM and more current data. Driver behavior constantly changes due in part to driving conditions and the use of technology. The safety and economic benefit evaluation was performed using the empirical Bayes method, which accounts for regression to the mean bias. For the economic benefit evaluation, the KABCO crash severity scale and crash cost estimates were used. A total of 24 4-leg urban intersections were randomly selected from a master list of RLCs in Missouri from 2006 to 2011. Additionally, 35 comparable nontreated intersections were selected for the analysis.
Results and Conclusions: The implementation of RLCs reduced overall angle crashes by 11.6%, whereas rear-end crashes increased by 16.5%. The net economic crash cost benefit of the implementation of RLCs was $35,269 per site per year in 2001 dollars (approximately $47,000 in 2015 dollars). Thus, RLCs produced a sizable net positive safety benefit that is consistent with previous statistical studies. 相似文献