An attempt to improve accuracy of higher‐order statistics and spectra in direct numerical simulation of incompressible wall turbulence by using the compact schemes for viscous terms

We attempt to improve accuracy in the high‐wavenumber region in DNS of incompressible wall turbulence such as found in fully developed turbulent channel flow. In particular, it is shown that the improvement of accuracy of viscous terms in the Navier–Stokes equations leads to the improvement of accuracy of higher‐order statistics and various spectra. It is emphasized that increase in required computational cost will not be crucial when incompressible flow is simulated, because the introduction of a higher‐order scheme into the viscous terms does not increase computational cost for solving the Poisson equation. We introduced fourth‐order and eighth‐order central compact schemes for discretizing the viscous terms in DNS of a fully developed turbulent channel flow. The results are compared with those using second‐order and fourth‐order central‐difference schemes applied to the viscous terms and those obtained by the spectral method. The results show that accuracy improvement of the viscous terms improve accuracy of higher‐order statistics (i.e., skewness and flatness factors of streamwise velocity fluctuation) and various spectra of velocity and pressure fluctuations in the high‐wavenumber region. Copyright © 2013 John Wiley & Sons, Ltd.     

Synthetic Studies Toward Gangliosides and Their Analogs: Synthesis of Appropriately Protected Core Oligosaccharides as Construction Blocks

Abstract

2-(Trimethylsilyl)ethyl 2, 3, 6, 2′-tetra-O-acetyl-3′-O-benzyl-6′-O-benzyloxymethyl-β-d-lactoside (9) was synthesized starting from acetobromolactose (1) via 2-(trimethylsilyl)ethyl β-d-lactoside (3). Compound 9 was converted to the trisaccharide derivative 17 after coupling with 3,4,6-tri-O-acetyl-2-deoxy-2-phthalimido-α-d-galacto-pyranosyl bromide (11). Coupling of 17 with acetobromogalactose (19) gave the tetrasaccharide 20.     

Synthetic Studies on Sialoglycoconjugates 54: Synthesis of I-Active Ganglioside Analog

Abstract

A stereocontrolled synthesis of I-active ganglioside analog is described. Glycosylation of 2-(trimethylsilyl)ethyl O-(2-O-benzyl-4,6-O-benzylidene-β-d-galactopyranosyl)-(1 → 4)-2,3,6-tri-O-benzyl-β-d-glucopyranoside (5) with methyl 4-O-acetyl-1,6-di-O-benzyl-2-deoxy-2-phthalimido-1-thio-β-d-glucopyranoside (10) by use of N-iodosuccinimide (NIS)-trifluoromethanesulfonic acid (TfOH) gave the desired trisaccharide 11, which was transformed into trisaccharide acceptor 14 via removal of the phthaloyl group followed by N-acetylation, and debenzylidenation. Glycosylation of 14 with methyl 3-O-benzyl-4,6-O-benzylidene-2-deoxy-2-phthalimido-1-thio-β-d-glucopyranoside (8) gave the biantennary compound 15, which was transformed into the acceptor 16. Dimethyl(methylthio)sulfonium triflate (DMTST)-promoted coupling of 16 with methyl O-(methyl 5-acetamido-4,7,8,9-tetra-O-acetyl-3,5-dideoxy-d-glycero-α-d-galacto-2-nonulopyranosylonate)-(2→3)-2,4,6-tri-O-benzoyl-1-thio-β-d-galactopyranoside (17) afforded the desired hexasaccharide 19. Coupling of the hexasaccharide acceptor 20, prepared from 19 by reductive ring-opening of benzylidene acetal, with 17 gave octasaccharide derivative 21. Compound 21 was transformed, via removal of the benzyl group followed by O-acetylation, selective removal of the 2-(trimethylsilyl)ethyl group and subsequent imidate formation, into the final glycosyl donor 24. Condensation of 24 with (2S, 3R, 4E)-2-azido-3-O-benzoyl-4-octadecene-1,3-diol (18) gave the β-glycoside 25, which on channeling through selective reduction of azido group, coupling of the amino group with octadecanoic acid, O-deacylation and saponification of the methyl ester group, gave the title compound 28.     

Superiority of K-edge XANES over LIII-edge XANES in the speciation of iodine in natural soils.

Environmental behavior of iodine is of great importance especially related to the release of radioiodine from the processing of nuclear fuel, nuclear accidents, etc. To understand the fate of radioactive iodine in soil-water systems, it is necessary to establish a speciation method of iodine in soil. XANES is one of the most important candidates and we compared the performance of L(III)-edge and K-edge XANES for this purpose. In particular, fluorescence XANES with a multi-element semiconductor detector is essential for the measurement of XANES spectra for trace amounts of iodine in natural soil samples. When comparing L(III)- and K-edges, L(III)-edge XANES can be useful for the speciation due to its ability to distinguish various iodine species in their XANES spectra. However, at L(III)-edge measuring iodine L(alpha) emission, the proximity of its energy to those of Ca K(alpha) and K(beta1) causes a large contribution of background X-rays in the XANES spectra, since Ca is a major element in soil. Thus, it was concluded that K-edge XANES is more useful than L(III)-edge for the speciation of iodine in natural soils owing to its lower detection limit. The K-edge XANES was successfully applied to the speciation of natural iodine in a soil sample (iodine concentration: 55.8 mg/kg), showing that iodine is present in the sample as organo-iodine species incorporated in humic substances.     

Highly sensitive detection of platelet-derived growth factor on a functionalized diamond surface using aptamer sandwich design

Aptamer-based fluorescence detection of platelet-derived growth factor (PDGF) on a functionalized diamond surface was demonstrated. In this work, a sandwich design based on the ability of PDGF to bind with aptamers at its two available binding sites was employed. It was found that this sandwich design approach significantly increases the fluorescence signal intensity, and thereby a very low detection limit of 4 pM was achieved. The effect of the ionic strength of MgCl(2) buffer solution was also investigated, and the most favourable binding for PDGF-BB occurred at a Mg(2+) concentration of 5.5 mM. Since the aptamers bind to the target PDGF with high affinity, fluorescence detection exhibited high selectivity towards different biomolecules. The high reproducibility of detection was confirmed by performing three cycles of measurements over a period of three days.     

Synthesis of (±)-8-deisopropyladunctin B

(±)-8-Deisopropyladunctin B, the deisopropyl form of adunctin B, which was isolated from the leaves of Piper aduncum (Piperaceae) collected in Papua New Guinea, was synthesized in 0.77% overall yield in 17 steps from 5,7-dimethoxycoumarin-3-carboxylate. The key step was our original stereoconvergent skeleton transformation from 1,2,2a,8b-tetrahydro-3H-benzo[b]cyclobuta[d]pyran-3-one to 1,2,4a,9b-tetrahydrodibenzofuran-4-ol with dimethylsulfoxonium methylide.     

Flower-like surface modification of titania materials by lithium hydroxide solution

Surface modification of titania materials to give flower-like structures has been achieved simply by the treatment in lithium hydroxide aqueous solution under mild conditions. The flower-like structured materials were characterized by X-ray diffraction, thermogravimetric analysis, and Raman scattering. The analyses indicate that the flower-like materials are composed of layered hydrous lithium titanate. It is suggested that the unique intercalation behavior of lithium ions into titania allows dissolution and re-precipitation of titania to form the flower-like structure. The obtained flower-like structure can be retained up to 700 °C, while the crystal phase transforms into Li(4)Ti(5)O(12).     

Experimental and theoretical analyses of azulene synthesis from tropones and active methylene compounds: reaction of 2-methoxytropone and malononitrile

A representative azulene formation from an active troponoid precursor (2-methoxytropone) and an active methylene compound (malononitrile) has been analyzed both experimentally and theoretically. (2)H-Tracer experiments using 2-methoxy[3,5,7-(2)H(3)]tropone (2-d(3)) and malononitrile anion give 2-amino-1,3-dicyano[4,6,8-(2)H(3)]azulene (1-d(3)) in quantitative yield. New and stable (2)H-incorporated reaction intermediates have been isolated, and main intermediates have been detected by careful low-temperature NMR measurements. The detection has been guided by mechanistic considerations and B3LYP/6-31(+)G(d) calculations. The facile and quantitative one-pot formation of azulene 1 has been found to consist of a number of consecutive elementary processes: (a) The troponoid substrate, 2-methoxytropone (2), is subject to a nucleophilic substitution by the attack of malononitrile anion (HC(CN)(2)(-)) to form a Meisenheimer-type complex 3, which is rapidly converted to 2-troponylmalononitrile anion (5). (b) The anion 5 is converted to an isolable intermediate, 2-imino-2H-cyclohepta[b]furan-3-carbonitrile (6), by the first ring closure in the reaction. (c) A nucleophilic addition of the second HC(CN)(2)(-) toward the imine 6 at the C-8a position produces the second Meisenheimer-type adduct 7. (d) The second ring closure leads to 1-carbamoyl-1,3-dicyano-2-imino-2,3-dihydroazulene (11). A base attacks the imine 11, which results in generation of a conjugate base 12 of the final product, azulene 1.