Acoustic radiation impedance of duct-nozzle system

A method is described to evaluate the radiation impedance spectra of a duct-nozzle system with and without mean flow by using measured reflection coefficient data. In this method the impedance at the junction of the duct and nozzle is first evaluated by using complex reflection coefficient data measured experimentally with an impulse technique. This impedance is then transferred to the nozzle exit by using a solution of the wave equation appropriate for the duct-nozzle system. The application of this method is described and results are presented to show the effect of nozzle geometry and the effect of mean flow on the radiation impedance of the duct-nozzle system. The results derived by using this method are compared with the similar results derived by using some approximate methods.     

An analysis of the stability of the least square finite difference scheme and its shock capturing ability in inviscid flows

A meshless method – The Least Square Finite Difference scheme (LSFD) with diffusion is analyzed and applied to inviscid flows. The scheme is made second-order by using a modified difference in the formulation of LSFD. Several numerical experiments, namely the Sod shock tube and the shallow water problems, are carried out and, in the limelight of the results obtained, the ability of the scheme to resolve shock wave, rarefaction wave, and contact discontinuity is discussed. The conditional stability of the LSFD scheme is established. The LSFD uses weights to diagonalize the least square matrix resulting in the spatial discretization in order to gain computational time. We prove that there exists a unique weight for the resulting optimization problem. The weighted version of LSFD is used to solve the isentropic vortex problem numerically and the results are used to discuss the dissipative nature of the scheme. Five configurations of the two-dimensional Riemann problems are used in our numerical experiments. The capability of the scheme to capture the complex interaction of multiple planar waves is discussed in the limelight of the results on the Riemann problems. The result of the shock reflection problem shows that the scheme is minimally dissipative and leads to sharp and well-resolved shocks.     

Bent metal carbene geometries in amido N-heterocyclic carbene complexes

Lithium(I) and uranium(VI) amido-tethered Bu(t)-substituted N-heterocyclic carbene (NHC) complexes exhibit very distorted metal-carbene bonds; the corresponding magnesium(II) and mesityl-substituted NHC uranium(VI) complexes are undistorted; the distortion does not affect the ligand binding strength, suggesting a dominance of electrostatic character in closed-shell electropositive metal-carbene bonds.     

Bifunctional yttrium(III) and titanium(IV) NHC catalysts for lactide polymerisation

Lewis acidic yttrium(III) and titanium(IV) derivatives of anionic, metal-tethered carbenes apparently act as bifunctional catalysts for the polymerisation of D,L-lactide, using a combination of Lewis acid and base functionalities to initiate ring opening of the cyclic monomer; the alcohol- and amino-functionalised carbenes from which they derive provide models for the first insertion step, and also display metal-free polymerisation catalysis to generate polylactic acid.