Boundary layer stability at longitudinally curved walls

Summary A theory of the stability of laminar boundary layer flow along a concave wall is derived without making use of the neglections and simplifications which characterize the former theory. The investigated boundary layer flow contains the curvature influence in second order approximation. It refers to walls with leading edge curved like the involute of a circle. Here there exists a self similar boundary layer flow and its asymptotic part does not vary longitudinally. A straight forward solution is given which contains an analytic asymptotic part. The neutral curves are determined for different wall curvature parameters.

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Zusammenfassung Es wird eine Theorie der Stabilität der laminaren Grenzschichtströmung an längsgekrümmten konkaven Wänden vorgelegt, die die Vereinfachungen und Vernachlässigungen der früheren Theorie nicht benutzt. Die untersuchte Grenzschichtströmung enthält den Krümmungseinfluss in zweiter Ordnung genau. Sie bezieht sich auf Wände mit scharfer Eintritts-Kante, die wie die Evolvente eines Kreises gekrümmt sind. Hier besteht eine ähnliche Grenzschichtströmung, und ihr asymptotischer Teil ändert sich nicht in longitudinaler Richtung. Es wird eine direkte Lösung gegeben mit einem analytischen asymtotischen Teil. Die neutralen Kurven werden für verschiedene Wandkrümmungsparameter bestimmt.

     

SU(6) × SL(3, R) color quark model

A nonrelativistic color quark model based on the spectrum generating group SU(6)×SL(3, R) is presented. The model unifies SU(6) and the Regge classification with linear L vs m² mass spectrum. Baryons are predicted to belong to the ($\text{56}\text{, L}{}^{\mathrm{P}}\text{= (}\text{even}{}^{\mathrm{+}}\text{)}\text{and}\text{(}\text{70}\text{, L}{}^{\mathrm{P}}\text{= (}\text{odd}{}^{\mathrm{?}}\text{)}$ multiplets of the SU (6) × O(3) group.     

Green and Novel Protocol for One-Pot Synthesis of β-Acetamido Carbonyl Compounds Using Mn(bpdo)2Cl2/MCM-41 Catalyst

Aromatic aldehydes were reacted in a one-pot reaction with enolizable ketones, acetonitrile, and acetyl chloride in the presence of Mn(bpdo)₂Cl₂/MCM-41 under reflux condition or at 80 °C to afford the corresponding β-acetamido ketones in good yields.     

The dependence of critical temperature on oxygen concentration in YBa<Subscript>2</Subscript>Cu<Subscript>3</Subscript>O<Subscript>6+<Emphasis Type="Italic">x</Emphasis></Subscript> in terms of the fragmented chain model

An extended ASYNNNI model, that beside nearest-neighbour and next-nearest neighbour O-O interactions in the basal plane also includes interactions between the three nearest oxygen atoms, is used to describe the statistics of CuO chain fragmentation and to calculate doping and T _c in YBa₂Cu₃O_6+x . Calculations were made by the Monte Carlo method employing the recently proposed charge transfer model that assumes only chains whose length is equal to, or exceeds, a characteristic (critical) length, l _cr , can provide holes to the layers and contribute to doping p. The obtained p(x) is then combined with a universal T _c versus p relation to yield T _c (x) characteristics that correlate remarkably with those reported in recent experiments. The best coordination between theoretical and experimental T _c (x) characteristics has been achieved for l _cr = 2, implying that only isolated basal plane oxygen atoms (trivial chains) do not contribute holes to CuO₂ layers.     

Ferric Perchlorate–Catalyzed One‐Pot Synthesis of α‐Aminonitriles using Trimethylsilylcyanide

A simple and efficient one‐pot method has been developed for the synthesis of α‐aminonitriles from aldehydes, amines, and trimethylsilyl cyanide in the presence of a catalytic amount of ferric perchlorate.     

Selective and Sensitive Determination of Uranyl Ions in Complex Matrices by Ion Imprinted Polymers‐Based Electrochemical Sensor

We report on the design of a UO₂²⁺‐selective electrode based on the use of UO₂²⁺ imprinted polymer nanoparticles (IP‐NPs), and its application for the differential pulse adsorptive cathodic stripping voltammetry determination of uranyl ions. A carbon paste electrode was modified with the IP‐NPs, and differential pulse adsorptive cathodic stripping voltammetry was applied as the detection technique after open‐circuit sorption of UO₂²⁺ ions. The modified electrode responses to UO₂²⁺ was linear in the 0.1 µg L^?1 to 10 µg L^?1 and in the 0.01 mg L^?1 to 10 mg L^?1. The method detection limit of the sensor was 0.03 µg L^?1.     

Electromechanical properties of single domain PZN–12%PT measured by three different methods

In this paper, we compare the electromechanical properties of tetragonal single domain PZN–12%PT single crystals obtained by different methods: resonance–antiresonance method, Brillouin scattering, and resonant ultrasound spectroscopy. The agreement between the different measurements is found satisfactory for many elastic constants within experimental uncertainties. Differences are notable for the elastic constants associated to the propagation of shear waves (c₆₆^E and c₄₄^E). This can be accounted for by imperfections of the sample in acoustic spectroscopy and specific difficulties of shear resonators used for the resonance method. Strong discrepancies are noted for the hardened elastic constant c₃₃^D associated to longitudinal waves propagating along the polarization direction; we suggest this can arise from a frequency dependence of the dielectric constant.     

Reversed phase liquid chromatography of some benzimidazole derivatives

Summary The retention behaviour of a series of benzimidazole derivatives has been studied as a function of the water content of aqueous methanol and aqueous acetonitrile eluents. The relationship between the retention constant (log k) and the pH of the aqueous phase was linear, with slope values depending on the composition of the aqueous phase, the molecular structure of the compound, and the type of C-18 bonded stationary phase. The type of organic modifier significantly affected the shape of the relationship between log k and the volume fraction of organic modifier in the mobile phase.     

Uncoupled photonic band gaps

We theoretically investigated the symmetry properties of the modes in two-dimensional square lattice photonic crystals in order to study phenomena that would enable new frontiers in the applications of photonic crystals. Using group theory, symmetry analysis of the photonic crystals bands has been done. Particular attention was given to the search for the uncoupled B modes that cannot be excited by the external plane wave because they are symmetry forbidden. The existence of the uncoupled modes enabled to define new physics phenomena: uncoupled photonic band gaps. For the frequency ranges inside the uncoupled photonic band gaps, zero transmission is obtained. Therefore, there are two different types of photonic gaps in the photonic crystals: photonic band gaps and uncoupled photonic band gaps. The appearance of uncoupled photonic band gaps in photonic crystals could at least improve the application of the existing photonic materials and structures or even enable the usage of new ones for devices like waveguides, filters, and lasers.     

Synthesis of Pyrrole Derivatives Promoted by Fe(ClO4)3/SiO2 as an Environmentally Friendly Catalyst

Russian Journal of Organic Chemistry - N-Substituted pyrroles have been prepared in high isolated yields (702-99%) by the reaction of hexane-2,5-dione with amines or diamines in the presence of...