Charge-Directed Conjugate Addition Reactions of Salts of Unsaturated β-Keto-Esters

Strong nucleophiles undergo conjugate addition reactions with enolates of Nazarov-type reagents. Yields are strongly affected by substitution patterns and the metal cation employed.     

Euphorbiane: A Novel Triterpenoid with an Unprecedented Skeleton from Euphorbia tirucalli

Euphorbiane ( 1 ), a novel triterpenoid exhibiting a unique skeleton, together with seven known compounds were isolated from the 95% EtOH extract of the fresh stems of Euphorbia tirucalli. The structure of 1 and relative stereochemistry were elucidated by extensive NMR and a single‐crystal X‐ray crystallographic analysis.     

Numerical experiments with several variant WENO schemes for the Euler equations

Numerical experiments with several variants of the original weighted essentially non‐oscillatory (WENO) schemes (J. Comput. Phys. 1996; 126 :202–228) including anti‐diffusive flux corrections, the mapped WENO scheme, and modified smoothness indicator are tested for the Euler equations. The TVD Runge–Kutta explicit time‐integrating scheme is adopted for unsteady flow computations and lower–upper symmetric‐Gauss–Seidel (LU‐SGS) implicit method is employed for the computation of steady‐state solutions. A numerical flux of the variant WENO scheme in flux limiter form is presented, which consists of first‐order and high‐order fluxes and allows for a more flexible choice of low‐order schemes. Computations of unsteady oblique shock wave diffraction over a wedge and steady transonic flows over NACA 0012 and RAE 2822 airfoils are presented to test and compare the methods. Various aspects of the variant WENO methods including contact discontinuity sharpening and steady‐state convergence rate are examined. By using the WENO scheme with anti‐diffusive flux corrections, the present solutions indicate that good convergence rate can be achieved and high‐order accuracy is maintained and contact discontinuities are sharpened markedly as compared with the original WENO schemes on the same meshes. Copyright © 2008 John Wiley & Sons, Ltd.     

A two‐scale low‐Reynolds number turbulence model

In this study, a two‐scale low‐Reynolds number turbulence model is proposed. The Kolmogorov turbulence time scale, based on fluid kinematic viscosity and the dissipation rate of turbulent kinetic energy (ν, ε), is adopted to address the viscous effects and the rapid increasing of dissipation rate in the near‐wall region. As a wall is approached, the turbulence time scale transits smoothly from a turbulent kinetic energy based (k, ε) scale to a (ν, ε) scale. The damping functions of the low‐Reynolds number models can thus be simplified and the near‐wall turbulence characteristics, such as the ε distribution, are correctly reproduced. The proposed two‐scale low‐Reynolds number turbulence model is first examined in detail by predicting a two‐dimensional channel flow, and then it is applied to predict a backward‐facing step flow. Numerical results are compared with the direct numerical simulation (DNS) budgets, experimental data and the model results of Chien, and Lam and Bremhorst respectively. It is proved that the proposed two‐scale model indeed improves the predictions of the turbulent flows considered. Copyright © 2000 John Wiley & Sons, Ltd.     

Implicit weighted essentially non‐oscillatory schemes for the incompressible Navier–Stokes equations

A class of lower–upper/approximate factorization (LUAF) implicit weighted essentially non‐oscillatory (ENO; WENO) schemes for solving the two‐dimensional incompressible Navier–Stokes equations in a generalized co‐ordinate system is presented. The algorithm is based on the artificial compressibility formulation, and symmetric Gauss–Seidel relaxation is used for computing steady state solutions while symmetric successive overrelaxation is used for treating time‐dependent flows. WENO spatial operators are employed for inviscid fluxes and central differencing for viscous fluxes. Internal and external viscous flow test problems are presented to verify the numerical schemes. The use of a WENO spatial operator not only enhances the accuracy of solutions but also improves the convergence rate for the steady state computation as compared with using the ENO counterpart. It is found that the present solutions compare well with exact solutions, experimental data and other numerical results. Copyright © 1999 John Wiley & Sons, Ltd.     

Optimal direct coupling from single-mode fibers to Ti:LiNbO3, channel waveguides

We investigate the optimal direct coupling from single-mode fibers to Ti:LihbO₃, channel waveguides using a very general formula and a heuristic optimization technique in this article. The coupling efficiency of the optical power depends on both the fiber positions and the modal sizes of the incident fields. From our numerical simulation, it is found that the optimal positions of the fiber axes are not in alignment with the peaks of the waveguiding modal fields and that the coupling efficiency can be improved by microlenses.     

Synthesis and anti‐inflammatory effect of morachalcone B,morachalcone C,and analogs

An efficient method to synthesize morachalcones B and C ( 1 and 2 ) is described. Rap?Stoermer condensation and 1,3‐prenyl rearrangement were used as two key synthetic methods. Morachalcone C was obtained by photo‐oxygenation of morachalcone B. Morachalcones B and C showed moderate anti‐inflammatory activity.     

Determination and pharmacokinetic analysis of salvianolic acid B in rat blood and bile by microdialysis and liquid chromatography

Salvianolic acid B is an herbal ingredient isolated from Salvia miltiorrhiza. An in vivo microdialysis sampling method coupled to high-performance liquid chromatography has been developed for continuous monitoring of protein-unbound salvianolic acid B in rat blood and bile. Microdialysis probes were inserted into the jugular vein/right atrium and bile duct of Sprague-Dawley rats, and a dose of 100 mg/kg salvianolic acid B was then administered via the femoral vein. Dialysates were collected and directly injected into a liquid chromatographic system. Salvianolic acid B was eluted using a microbore reversed-phase ODS 5 microm (150 mm x 1 mm I.D.) column. Isocratic elution of salvianolic acid B was achieved within 10 min using the liquid chromatographic system. The chromatographic mobile phase consisted of acetonitrile-methanol-20 mM monosodium phosphoric acid (pH 3.5) (10:30:60, v/v/v) containing 0.1 mM 1-octanesulfonic acid with 0.05 ml/min. The wavelength of the UV detector was set at 290 nm. Salvianolic acid B in both blood and bile dialysates was adequately determined using the liquid chromatographic conditions described, although the blank bile pattern was more complex. The retention times of salvianolic acid B in rat blood and bile dialysates were found to be 7.2 min. Peak-areas of salvianolic acid B were linear (r2 > 0.995) over a concentration range of 0.1-50 microg/ml. In vivo recoveries of microdialysis probes of salvianolic acid B in rat blood and bile averaged 22 +/- 2% and 41 +/- 1%, respectively. This study indicates that salvianolic acid B undergoes hepatobiliary excretion.