MATHEMATICAL MODELS FOR LIQUID-SOLID TWO-PHASE FLOW

I INTRODUCTIONTurbulence models for single-phase fluid flows have been developed and widely applied in mechanical,aeronautical, environmental and hydraulic engineering, and other fields. The closure techniques for theReynolds-averaged Navier-Stokes equations for various levels of models including the simple turbulencemodel, one-equation turbulence model, k-s turbulence model and turbulence stress/flux model have beenverified to be physically reasonable and have acceptable accuracy in app…     

Seasonal Variability of Northern Hemisphere Snow Extent Using Visible Satellite Data

In this paper we use a satellite‐derived data set to explore spatial and temporal variations of snow extent across Northern Hemisphere continents during the last three decades. These weekly visible‐wavelength satellite maps of Northern Hemisphere snow extent produced by the National Oceanic and Atmospheric Administration constitute the longest consistently‐derived satellite record of any environmental variable. We document the considerable intra‐annual variability of snow extent, and show that during each month, fluctuations over relatively small areas are responsible for the majority of the year‐to‐year variability. Regions that cover less than 6% of Northern Hemisphere lands north of 20°N explain 62% Ã Â Ã Â 92% of the interannual variance across the continents. On average, snow was more extensive across both Eurasia and North America from the 1970s to middle 1980s than during the late 1980s to late 1990s. During late winter, spring and summer, snow extent has decreased since the middle 1980s, while during fall to middle winter, snow extent has remained relatively constant. Accurate information on continental snow extent is critical for weather and hydrologic forecasting; for understanding hemispheric‐scale atmospheric circulation, thermal variations, and regional snow extent; and for using snow as a credible indicator of climate variability and change.     

A test of the precursory accelerating moment release model on some recent New Zealand earthquakes

The proposal that the moment release rate increases in a systematic way in a large region around a forthcoming large earthquake is tested using three recent, large New Zealand events. The three events, 1993–1995, magnitudes 6.7–7.0, occurred in varied tectonic settings. For all three events, a circular precursory region can be found such that the moment release rate of the included seismicity is modelled significantly better by the proposed accelerating model than by a linear moment release model, although in one case the result is dubious. The 'best' such regions have radii from 122 to 167 km, roughly in accord with previous observations world-wide, but are offset by 50–60 km from the associated main shock epicentre. A grid-search procedure is used to test whether these three earthquakes could have been forecast using the accelerating moment release model. For two of the earthquakes the result is positive in terms of location, but the main shock times are only loosely constrained.     

The ultrashort period dwarf nova SW ursae majoris

SW UMa is an unusual dwarf nova in several respects. Recent observations by Robinsonet al. (1986) have established that SW UMa is an SU UMa system, while Shafter, Szkody, and Thorstensen (1986) have presented evidence suggesting that SW UMa may be a DQ Her system as well. If the DQ Her classification is confirmed then SW UMa will be the only system to have this dual classification. Finally, time resolved spectroscopy of SW UMa has revealed the presence of an S-wave component in the H emission which has an unexpected phasing relative to the line wings.Paper presented at the IAU Colloquium No. 93 on Cataclysmic Variables. Recent Multi-Frequency Observations and Theoretical Developments, held at Dr. Remeis-Sternwarte Bamberg, F.R.G., 16–19 June, 1986.     

Peculiarities of artificial ionospheric radiation under the action of high-power HF radiowaves, emitted by the SPEAR facility, on the sporadic E layer of the polar ionosphere

The results of the experimental studies of the ionospheric effects originating under the action of high-power HF radiowaves, emitted by the SPEAR heating facility into the sporadic E _s layer of the polar ionosphere, are presented. The experiment was performed on March 2, 2007, simultaneously at two spaced points: Barentsburg (Spitsbergen, a distance of about 40 km from the SPEAR facility) and Gor’kovskaya observatory near St. Petersburg, located at a distance of about 2000 km from SPEAR. The distributions of the heating signal intensity in the 100 kHz frequency band were measured in Barentsburg. Bistatic backscatter of diagnostic HF signals by small-scale artificial ionospheric irregularities was observed at Gor’kovskaya observatory. Based on an analysis of the experimental data obtained in Barentsburg, it has been found out that a broadband noise-like component originated and additional maximums appeared in the heating signal spectrum. The broadband emission intensity was a factor of 1.5–3 as high as the noise level. The additional maximums were formed in the regions of the positive and negative frequency shift relative to the heating signal frequency and were observed when the heating frequency was lower than the critical frequency of the E _s layer; e.g., a high-power HF radiowave reflected from E _s . The expression for determining the frequency shift of the additional maximum in the heating signal spectrum at altitudes of the ionospheric E region, taking into account the ion-electron collision frequency, has been obtained. The heating signal spectrum registration was compared with the observations of small-scale artificial ionospheric irregularities and the trajectory modeling of signals scattered by the considered irregularities. The observation results have been analyzed and interpreted taking into account the magnetic and ionospheric data characterizing the background geophysical conditions.     

Ionic activity coefficients in aqueous mixtures of NaCl and MgCl2

Methods developed earlier, based on hydration numbers for individual ionic species, have been extended to the calculation of ionic activity coefficients in aqueous systems of two electrolytes MX and NX₂ with a common unhydrated anion (X⁻). The data required include the mean activity coefficients of MX and NX₂ in the mixtures, together with the osmotic coefficient. The procedure is illustrated by a calculation of γ_Na, γ_Mg, and γ_Cl in a mixture of NaCl and MgCl₂ closely approximating the composition of seawater with salinity of 35‰.     

The structure and evolution of the coastal migrant fishery of Kenya

The current study was carried out over a period of one year to characterise the coastal migrant fishery of Kenya. The study looked at gears and vessels used, and ownership, demographic factors including ages of the fishers and family sizes, migrant activity and resource conservation at two main fishing villages in Kenya; Vanga and Mayungu in the south and north coasts, straddling at 4.663°S and 39.215°E and 3.214°S and 40.135°E respectively. Further, the fishers were categorised with regard to fishing, gear and vessel operation and trade, and evolution upon entry into the fishery was also assessed in order to define fisher-stake in the fishery for resource management and conservation planning. Structured questionnaires were used to interview the fishers, and data and information recorded from 1018 fishers during the survey. Migrants accounted for over 63% of the fishers in the two study sites, with majority of the fishers lying in the 15–45 year age bracket. Dependence level averages at 4–6 person families per fisher. Entry to the fishery was mainly at seamen level, progressing to fishermen and finally to fish dealers (tajiris), with the latter holding >62% capital in the fishery. Resource management in the fishery was low and only 10% of the fishers were active participants in marine conservation and community beach management issues. Fisher migrations were mainly monsoon season-linked (>58%) although social factors such as family location determined to a great extent the expanse of the migrations. The revival of fisheries cooperatives and active participation in community resource management and conservation groups is envisaged as the key to the sustainability of both the marine resources and the economies associated with this high mobility, cross-border fishery.     

On the Acoustic-Electromagnetic Analogy for the Reflection-Refraction Problem

The same mathematical theory can be used to describe physical phenomena of different nature. For instance, the wave equation and the related mathematical developments can be used to describe elastic and electromagnetic wave propagation, and it is also extensively used in quantum mechanics. Fresnel's equations are a classical example of the analogy between shear waves and light waves. George Green in the nineteenth century, used analogies to obtain the reflection coefficients for sound waves and light waves, before the advent of the electromagnetic theory of light.In this work, we investigate the mathematical analogy between elastic waves and electromagentic waves. We obtain a complete parallelism for the reflection and refraction problem, considering the most general situation, that is, the presence of anisotropy and attenuation—viscosity in the elastic case and conductivity in the electromagnetic case. The analogy is illustrated with Fresnel's equations, the Brewster and critical angles, the concept of reflectivity and transmissivity, and the corresponding duals fields. The analysis of the elastic-solid theory of reflection applied by Green to light waves, and a brief historical review of wave propagation through the ether, further illustrate the analogy.