Global Analysis of the Flows of Fluids with Pressure-Dependent Viscosities

 To describe the flows of fluids over a wide range of pressures, it is necessary to take into account the fact that the viscosity of the fluid depends on the pressure. That the viscosity depends on the pressure has been verified by numerous careful experiments. While the existence of solutions local-in-time to the equations governing the flows of such fluids are available for small, special data and rather unrealistic dependence of the viscosity on the pressure, no global existence results are in place. Our interest here is to establish the existence of weak solutions for spatially periodic three-dimensional flows that are global in time, for a large class of physically meaningful viscosity-pressure relationships. (Accepted May 1, 2002) Published online November 15, 2002 Communicated by S. S. ANTMAN     

Gas-phase autoignition of a spherical volume of fuel in an oxidative medium

A mathematical model of the ignition of unmixed of fuel and oxidizer (a finite spherical volume of fuel surrounded by an infinite oxidizer medium) was developed. The regularities of the autoignition of this system were examined. It was demonstrated that the temperature maximum arising at the fuel-oxidizer interface propagates with increasing amplitude and velocity toward the center of the spherical volume and that the time it takes to attain the maximum temperature (below the autoignition threshold) and the ignition delay time (above the threshold) depend on the parameter δ nonmonotonically, more specifically, exhibit well-pronounced maxima     

Structures and NMR spectra of N-(ω-alkoxyethyl)N-(2-hydroxyethyl)-N,N-dimethylammonium chlorides

Russian Chemical Bulletin - Homoand heteronuclear NMR experiments (COSY, HSQC, and HMBC) were used for the attribution of the proton and carbon atom signals in the 1H and 13C NMR spectra of...     

Metal-carbenoid mediated CH-functionalization of pyrroles with methyl 2-diazo-3,3,3-trifluoropropionate

Metal-catalyzed CH-functionalization of pyrrole and its derivatives via insertion of CF3-carbene generated from methyl 2-diazo-3,3,3-trifluoropropionate was studied. The reactions are completed within few minutes upon heating in toluene in the presence of 1 mol.% of commercially available copper trifluoroacetylacetonate. These reaction conditions allow simultaneous introduction of trifluoromethyl and methyl carboxylate groups into the aromatic pyrrole ring. Conditions for C(2)-selective monofunctionalization of NH-pyrroles were developed.     

New pyrrolidine and pyrroline derivatives of fullerenes: from the synthesis to the use in light-converting systems

The results of the authors’ studies on the [2+3] cycloaddition of azomethine and nitrile ylides generated from picolylamine and benzylamine derivatives to fullerenes are systematized and new experimental data are considered. Catalysts and microwave radiation promoting the formation of ylides and their addition to fullerenes were successfully used for the first time. A large series of new pyrrolidine and pyrroline derivatives of fullerenes C₆₀ and C₇₀ were synthesized and characterized. The proposed procedures afford the reaction products in yields twice as high (80–85%) as those attained by the classical Prato reaction. The reactions proceed with virtually complete regio- (in the case of C₇₀) and stereoselectivity to afford only cis-2′,5′-disubstituted and trans-1′,2′,5′-trisubstituted pyrrolidinofullerenes. Pyridyl-substituted pyrrolidinofullerenes react with metalloporphyrins and phthalocyanines to form self-ordered coordination complexes. The latter are analogs of natural photosynthetic antenna systems due to photoinduced charge separation that occurs in these complexes upon exposure to light. Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 5, pp. 873–898, May, 2008.     

Encapsulation-Controlled Photoisomerization of a Styryl Derivative: Stereoselective Formation of the Anti Z-Isomer in the Cucurbit[7]uril Cavity

The photochemical isomerization of a styrylpyridinium dye ( SP ) bearing an unsymmetrically attached benzo-15-crown-5 ether has been studied in aqueous solution in the absence and presence of cucurbit[7]uril (CB[7]). The detailed analysis of the UV/Vis and NMR spectra showes that the isomeric composition of the photostationary mixtures of SP can be modulated by the host-guest complexation with CB[7]. It was found that steric hindrance caused by encapsulation of SP in the host cavity induces the exclusive formation of the anti conformer of Z- SP in contrast with the mixture of both anti and syn conformers obtained during photoisomerization of the dye without CB[7]. Remarkably, the displacement of anti Z- SP from CB[7] does not lead to the transformation of the anti Z-isomer into the syn Z-isomer pointing out the conformational memory of the system. The results provide an interesting example of the supramolecular stereorecognition by the achiral CB[7] host.     

Reactions of iridium bis(phosphinite) pincer complexes with protic acids

Iridium pincer complexes [C₆H₃-2,6-(OPBu^t ₂)₂]Ir(H)Cl (10) and [4-EtOOCC₆H₂-2,6-(OPBu^t ₂)₂]Ir(H)Cl (11) react with protic acids undergoing metallation of one of the tert-butyl groups to form double cyclometallated products [4-R-C₆H₂-2-(OPBu^t ₂)-6-(OP(Bu^t)CMe₂CH₂)]IrCl (12, R = H; 13, R = COOEt), which are stable in air. Complex 12 reacts with CO and Bu^tNC giving the corresponding 18-electron complexes [C₆H₃-2-(OP-Bu^t ₂)-6-(OP(Bu^t)CMe₂CH₂)]Ir(L)Cl (14, L = CO; 15, L = CNBu^t). The structure of compound 14 was established by X-ray diffraction analysis.     

Sorption of carbaryl and naphthols by polymers based on N-vinylamides from aqueous solutions

New cross-linked copolymers based on N-vinylpyrrolidone and N-vinylcaprolactam were proposed for preconcentration of carbaryl and naphthols from aqueous media. The influence of pH, nature of salting-out agent, surfactant, and temperature on the recovery of the analytes was examined. The most efficient sorption systems for recovery of carbaryl and naphthols from aqueous solutions were developed.