Two‐level finite element method with a stabilizing subgrid for the incompressible MHD equations

We consider the Galerkin finite element method (FEM) for the incompressible magnetohydrodynamic (MHD) equations in two dimension. The domain is discretized into a set of regular triangular elements and the finite‐dimensional spaces employed consist of piecewise continuous linear interpolants enriched with the residual‐free bubble functions. To find the bubble part of the solution, a two‐level FEM with a stabilizing subgrid of a single node is described and its application to the MHD equations is displayed. Numerical approximations employing the proposed algorithm are presented for three benchmark problems including the MHD cavity flow and the MHD flow over a step. The results show that the proper choice of the subgrid node is crucial to get stable and accurate numerical approximations consistent with the physical configuration of the problem at a cheap computational cost. Furthermore, the approximate solutions obtained show the well‐known characteristics of the MHD flow. Copyright © 2009 John Wiley & Sons, Ltd.     

Equality of averaged and quenched large deviations for random walks in random environments in dimensions four and higher

We consider large deviations for nearest-neighbor random walk in a uniformly elliptic i.i.d. environment. It is easy to see that the quenched and the averaged rate functions are not identically equal. When the dimension is at least four and Sznitman??s transience condition (T) is satisfied, we prove that these rate functions are finite and equal on a closed set whose interior contains every nonzero velocity at which the rate functions vanish.     

Photoinduced Controlled Radical Polymerization

Well‐controlled radical polymerization of methyl methacrylate can be achieved by in situ photochemical generation of copper (I) complex from air‐stable copper (II) species without using any reducing agent at room temperature. The living character of this polymerization was confirmed by both the linear tendency of molecular weight evolution with conversion and a chain extension experiment.

     

New Photoinitiating Systems for Cationic Polymerization Acting at Near UV and Visible Range

Summary: New photoiniting systems for cationic polymerization acting at near UV and visible range are described. The applicability of acylgermanes as a new class of free radical promoters for photoinitiated cationic polymerization is demonstrated. Moreover, the use of substituted vinyl halides as source for readily oxidizable free radicals is presented. The polymerization of vinyl ethers can be initiated by the irradiation of substituted vinyl halides in the presence of Lewis acids such as zinc halide. Furthermore, possibilities for conducting cationic polymerization at visible range by using highly conjugated thiophene derivatives are demonstrated. Mechanistic aspects of all initiating systems are discussed.     

Characteristics of grape seed and oil from nine Turkish cultivars

Percentages of crude oil, protein, fibre and ash of grape seeds obtained from Turkish cultivars were of the ranges 5.40-10.79, 5.24-7.54, 17.6-27.1, and 1.2-2.6, respectively. The highest crude oil, crude protein and crude fibre were determined in Siyah pekmezlik, Karadimrit and Antep grape seeds. The energy values of seeds were established to be between 102.28 and 148.07?kcal?g(-1). Potassium and calcium contents of seed samples were found to be at high levels compared to sodium. The seeds contained 686-967?ppm of Na, 2468-3618?ppm of K and 2373-4127?ppm of Ca. The refractive index, relative density, acidity, saponification value, unsaponifiable matter and iodine value of seed oils were determined to be in the ranges 1.474-1.477 [Formula: see text], 0.909-0.934 25/25°C, 0.74-1.24%, 181-197, 0.91-1.66%, and 126-135, respectively. The main fatty acids were of the ranges 60.7-68.5% linoleic, 16.1-23.4% oleic and 8.0-10.2% palmitic. The highest percentages of linoleic acid (68.5%) was determined in Siyah pekmezlik seed oil.     

Synthesis and Spectrophotometric PH Sensing Applications of Poly-2-[4-(diethylaminophenyl)imino]-5-nitro-phenol and its Schiff Base Monomer for Two Different PH Ranges

Poly-2-[4-(diethylaminophenyl)imino]-5-nitro-phenol (PEAPINP) and 2-[4-(diethylaminophenyl)imino]-5-nitro-phenol (EAPINP) were prepared as new pH sensors. Spectrophotometric and spectrofluorometric response of the novel sensors in various p^H values were investigated. EAPINP has the ability to respond linearly at alkaline P^H values, 8 to 9, and can be utilized in absorption and wavelength radiometric methods. PEAPINP has the ability to respond linearly at lower pH values, 6 to 7, and can be used as an alternative pH sensor in this range. The new sensors are yellow-colored in acidic and neutral media and red-colored in alkaline P^Hs. With their colorimetric responses at different pH ranges EAPINP and PEAPINP can be used to develop color-tunable P^H sensors.     

Syntheses and pH sensing applications of imine-coupled phenol and polyphenol species derived from 2-amino-4-nitrophenol

Developing of new generation optical polymeric pH sensors has increasing importance due to their stable structures. Available polymeric sensors for different pH ranges are already needed. In the present study new kinds of monomeric and polymeric absorption pH sensors (HBANP and PHBANP) derived from 2-amino-4-nitrophenol were prepared. The novel sensors were investigated in various pH values using spectrophotometric, spectrofluorometric, and electrochemical techniques. The sensors showed sigmoidal correlations vs. pH range in optical measurements. These correlations were improved as mathematical formula to obtain the solution pH. HBANP and PHBANP differed from each other by response fields. HBANP had a sharp absorption increase between the pH of 6.5→7.5 while PHBANP spectrophotometrically responded at lower pHs. HBANP was colorless in acidic pHs, yellow-colored in neutral media and red-colored in alkaline pHs. With its colorimetric responses in various pHs HBANP can be used to develop color-tunable pH sensors. Electrochemical oxidation peak potentials and currents also particularly changed in various pHs.     

The coating performance of adipic acid modified and methacrylated bisphenol- A based epoxy oligomers

In the present work adipic acid modified and methacrylated bisphenol A based epoxy resins were prepared. The structures of oligomers were characterized by FT-IR. UV curable clear coatings were applied on aluminum substrates. The physical and mechanical properties of UV-cured coatings such as gel content, solvent resistance, hardness, gloss, flexibility and tensile tests were examined. In addition, the thermal behavior of coatings was also evaluated. It is observed that the tensile properties and thermal stabilities of modified epoxy methacrylate coatings mainly depend on the adipic acid content. The best results were obtained with 5 wt% adipic acid modification. Copyright © 2007 John Wiley & Sons, Ltd.