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71.
İ. B. Özdemir 《Experiments in fluids》1997,22(4):271-280
This paper is concerned with an experimental investigation of the mixing inside the vortex ring formed by the gravity slumping
motion of a dense cloud in a less dense atmosphere. The dynamics of the spreading and instantaneous structures of the turbulent
flow were examined by visualization, single and multi-point measurements of velocity and concentration for two heavy gases,
carbondioxide (CO2) and dichlorodifluoromethane (CCl2F2), in a configuration in that heavy gas, initially trapped in a reservoir, was released with the rise of a shutter into calm
air of a sector-shaped dispersion channel.
Visualization of the cloud as a whole showed a spreading motion in which an advancing frontal structure was followed by a
stratified flow with a layer of dense fluid of higher velocities near the wall and, on top of it, a layer of dilute fluid
whose concentration is controlled by the mixing mechanisms within the head. During the course of spreading, there was always
a phase in which the head attained to a constant speed of advance, which occurred as 0.13 m/s for CO2 and 0.48 m/s for CCl2F2. It was interesting to observe for CO2 that the phase of constant speed took place in between two acceleration phases; the former was due to the initial slumping
of the cloud at the exit of the reservoir, and the latter was attributed to the collapse of the head on the transition to
the passive dispersion phase.
Instantaneous two-dimensional velocity field, measured with particle image velocimeter (PIV), showed that the cloud overran
the ambient air which caused the approaching dense fluid deflected away from the wall with significant vertical velocities
and downstream-moving separation, and the air trapped under the head resulted in the density inversion which introduced further
intricacy to the turbulent structure of the head. Instabilities at the upper free shear layer due to density and velocity
discontinuity rolled into periodic array of vortices which engulfed a considerable amount of air as they were convected backwards
over the head, but the incorporation of heavy and light fluids was completed with the appearance of microscales after the
collapse on the stratified layer. Analyses of the cloud head at different downstream locations also revealed that its size
remained unchanged when the speed of advance was constant, allowing the rate of change of the cloud volume being modeled with
the rate of spreading.
Contours of concentration obtained from digitized PIV pictures confirmed the kinematic features of the mixing revealed by
the velocity field and that the concentration values within the large structures were higher than those at the upper part
of the stratified layer. Motivated by the experimental observations, a semi-empirical analysis was presented to describe the
results and based on local values of the Richardson and Reynolds numbers.
Received: 4 October 1995 / Accepted: 4 July 1996 相似文献
72.
73.
François Bolley Arnaud Guillin Cédric Villani 《Probability Theory and Related Fields》2007,137(3-4):541-593
We establish quantitative concentration estimates for the empirical measure of many independent variables, in transportation
distances. As an application, we provide some error bounds for particle simulations in a model mean field problem. The tools
include coupling arguments, as well as regularity and moment estimates for solutions of certain diffusive partial differential
equations. 相似文献
74.
75.
76.
Solubility of carbon dioxide in aqueous solutions of sodium chloride: Experimental results and correlation 总被引:2,自引:0,他引:2
The solubility of carbon dioxide in aqueous solutions of sodium chloride was measured in the temperature range from 40 to 160°C, up to 6 mol-kg salt solutions and total pressures up to 10 MPa. Pitzer's(1) equations as well as the Chen and Evans(2) model were used to correlate the new data. Results are reported and compared to literature data and correlations. 相似文献
77.
Héléne Gispert 《ZDM》2002,34(4):158-163
Evolutions of mathematical curricula in French society have been marked by the successive answers intitutions have given to the following question since one century: Why and whom teaching mathematics? Here I present two of these, one given in 1908 and one in 1967. Each symbolises a breaking period of reforms in secondary mathematics teaching in France. We will see in the two first part of this paper that they belong to two different worlds, with social, institutional, ideological and mathematical specific features. In the third part, I’ll focus on geometry, showing the effects of the different answers concerning the public and the aims of mathematical teaching. 相似文献
78.
The complexification of a semi-algebraic set is the smallest complex algebraic set containing S. Let S be defined by s polynomials of degrees less than d. We prove that the geometric degree of the complexification is less than .
Received: 9 January 1997; in final form: 11 August 2000 / Published online: 17 May 2001 相似文献
79.
In this work we study semifield planes of orderq
n(q=p
r
,p prime) with a collineation whose order is ap-primitive divisor ofq
n–1.Research supported in part by NSF Grant No. DMS-9107372Research supported in part by NSF grants RII-9014056, component IV of the EPSCoR of Puerto Rico grant and ARO grant for Cornell MSI. 相似文献
80.
Christabel E. Fowler Catherine Buchber Joël Patarin Alain Walcarius 《Applied Surface Science》2007,253(12):5485-5493
Diatomaceous earth was functionalized by grafting organotrialkoxysilane precursors onto the surface of the porous silica cell walls of this biomineral. Vinyl- and mercapto-containing structures were prepared in aqueous media without disruption of the diatomic architecture. Successful grafting of the organic moieties was confirmed using solid state 29Si MAS NMR spectroscopy, and the presence of the intact diatom framework by scanning electron microscopy. The sorption properties of mercaptopropyl-functionalized diatoms towards heavy metals was studied by measuring the accessibility and diffusion rates of mercury(II) species to the binding sites (-SH) by the means of electrochemical methods. 相似文献