Calculation of the permeability of porous media using hydrodynamic cellular automata

The permeability of two-dimensional porous media is calculated numerically as a function of porosity using the hydrodynamic cellular automata (lattice gas) approach. Results are presented for systems with up to 22 million sites (8192×2688). For randomly distributed solid obstacles whose macroscopic dimensions are much longer than the mean free path of particles in the fluid, the permeability varies with porosity as (–0.6)/(1–) for>0.7. When the solid obstacles are much smaller than the mean free path of particles in the fluid, i.e., when they form a dust of point objects, then such a relationship no longer holds and the permeability is more than an order of magnitude smaller than for the former case. The program used for the simulations is discussed and a listing is presented in the Appendix which achieved a sustained speed of 185 million sites updated per second on a single processor of the Cray-YMP. (On a Sun Sparc Workstation, the same program ran about 100 times slower.)     

Microscopic-based fluid flow invasion simulations

A microscopic method for the generation of invasion percolation structures using armies of interacting random walkers is presented. Two distinct species are used to simulate the invading and defending fluids of a fluid invasion process. Trapping of the defending species is accomplished purely by local rules, without the need to repetitively check the connection between the to be displaced defender phase and the sink.     

A novel synthesis method for cyclodextrins from maltose in water-organic solvent systems

A novel enzymatic synthesis method of cyclodextrin (CD) from low-mol-wt maltose using cyclomaltodextrin glucanotransferase (CGTase) fromBacillus macerans has been developed in various water-organic solvent systems. A Β-CD was synthesized in a two-phase system consisting of water and cyclohexane. However, no CDs could be synthesized in an aqueous buffer solution. A maximal yield of Β- CD has been obtained at a cyclohexane content volume of 44%. This synthesis has been obtained only at low temperatures, i.e., 7‡C, and did not take place at 50‡C. In addition, various organic solvents have been used for the enzymatic synthesis of CD from maltose. Consequently, Β-CD could be synthesized in various water-organic solvent systems, e.g., cyclohexane, benzene, xylene, and chloroform, but no enzymatic reaction occurred using aliphaticn-hydrocarbon solvents such as hexane, dodecane, and hexadecane. Furthermore, α- and Β- CD could be synthesized in water mixture solutions using organic solvents having an alcoholic group (e.g., ethanol, propanol, butanol, and pentanol) in a wide range of the reaction temperatures, typically 7–50‡C. In this temperature range, α- and Β-CD were also formed and the maximal yield from maltose to Β-CD of approx 13% was reached in 60 h.     

Thermotropic mesophases of ionic amphiphiles

In part I of this article the thermotropic mesophases of anhydrous ionic amphiphiles were discussed. In this part the thermotropic mesophases of ionic amphiphiles in aqueous media, as determined by thermal analysis, microscopic studies, X-ray diffraction and other techniques are reviewed. The fatty acids saturated or unsaturated that are found in the above molecules are: Lauric acid (C₁₂H₂₄O₂); myristic acid (C₁₄H₂₈O₂); palmitic acid (C₁₆H₃₂O₂); stearic acid (C₁₈H₃₆O₂); arachic acid (C₂₀H₄₀O₂); behenic acid (C₂₂H₄₄O₂); oleic acid (C₁₈H₃₄O₂).     

Renormalization group analysis of the global properties of a strange attractor

This paper considers the circle map at the special point: the one at which there is a trajectory with a golden mean winding number and at which the map just fails to be invertable at one point on the circle. The invariant density of this trajectory has fractal properties. Previous work has suggested that the global behavior of this fractal can be effectively analyzed using a kind of partition function formalism to generate anf versus curve. In this paper the partition function is obtained by using a renormalization group approach.     

Fluorometric assay for horseradish peroxidase in organic media

A fluorometric method for assaying the activity of horseradish peroxidase (HRP) in organic media has been developed. This method is designed on the basis of the disparity in the spectral properties of substrates and corresponding resultant polymers. It monitors the fluorescence quenching of substrate during enzymatic catalysis, and works efficiently in a number of organic media (such as dioxanewater mixture, acetone-water mixture, and alcohol-water mixture, and so forth) toward many substrates. This assay is simpler, more rapid, and more convenient compared with the commonly used HPLC method. It is qualitatively reproducible and can also be used for quantitative calculation of the substrate conversion.     

The motion of a tagged particle and nonhomogeneous media in R1

We analyze the asymptotic behavior of a tagged particle inside an infinite system of identical elastic point masses. The main objective is to study very nonhomogeneous media—particles which are more and more dispersed far from the origin. We suggest that the limit motion of a tagged particle may serve to classify media in the nonhomogeneous case as well as in the homogeneous case.     

蒸镀薄膜的分形生长行为

自Mandelbrot的分形几何学问世以来,分形理论的应用日趋广泛。在薄膜生长方面亦是如此。真空蒸镀薄膜的生长遵循着一定的规律。基本上是:(1)成核在此期间形成小的晶核,它们按统计规律分布(有一些例外)在基片表面上;(2)晶核生长并形成较大的岛这些岛通常具有小晶体(微晶)的形状;(3)岛(微晶)和岛(微晶)之间聚集并形成含有空沟道的许多连接着的网络;(4)沟道被填充,形成连续的薄膜。     

Influence of albumin adsorption on physico-chemical properties of alumina surfaces

The effect of albumin adsorption on neutral active aluminium oxide was investigated in the presence of polar and non-polar liquids. The adsorbed values were highest near the isoelectric point of albumin and varied in the range 5–10 and 3–11 mg g^–1 with phosphate buffer and potassium chloride respectively after 2 and 24 h. In the case of aluminium oxide the effect of albumin adsorption on total heterogeneity of adsorbents is not explicit. On the one hand, the modified samples showed decreasing surface area with increase of surface coverage with albumin. On the other hand, modifications under the same conditions but without albumin caused similar changes. These effects suggest the strong influence of medium pH on surface properties (due to surface polarization) and competitive co-adsorption of ions on the process. The volumetric fractal dimensions of the studied materials change in the range 2.25–2.32 for pure aluminium oxide and BSA modified from the phosphate solution. E _d,max values (desorption energy in the maximum of distribution function) diminish (in the range 40–45 kJ mol^–1) compared with pure aluminium oxide (E _d,max=52 kJ mol^–1) for water thermodesorption at modified surfaces to the increase of a number of active centers of hydrophobic character, and weakening of the adsorbent–adsorbate increases.