Transition from Countergradient to Gradient Scalar Transport in Developing Premixed Turbulent Flames

A simple model of turbulent scalar flux developed recently by the present authors is applied to determine the direction of the flux in a statistically planar one-dimensional premixed flame that does not affect turbulence and has self-similar mean structure. Results obtained in the case of statistically stationary turbulence indicate that transition from countergradient to gradient turbulent scalar transport may occur during flame development, as the peak mean rate of product creation moves to the trailing edge of the flame brush. In the case of decaying turbulence, the opposite transition (from gradient to countergradient transport) was simulated in line with available DNS data. In both cases, transition instant depends strongly on turbulence and mixture characteristics. In particular, countergradient transport is suppressed by an increase in the rms turbulent velocity and by a decrease in the laminar flame speed or density ratio, in line with available experimental and DNS data. The obtained results lend qualitative support to the model of turbulent scalar flux addressed in the present work.     

Synthesis and Biological Activity of 4-Aryl-<Emphasis Type="Italic">N</Emphasis>-(5,6-R-benzo[<Emphasis Type="Italic">d</Emphasis>]thiazol-2-yl)- 2-hydroxy-4-oxobut-2-enamides

The interaction of 5-arylfuran-2,3-diones with 5,6-R-benzo[d]thiazole-2-amines has resulted in 4-aryl-N-(5,6-R-benzo[d]thiazol-2-yl)-2-hydroxy-4-oxobut-2-enamides. The products structure has been confirmed by means of IR, NMR, and ¹H NMR spectroscopy as well as mass spectrometry. Analgesic and antimicrobial activities of the prepared compounds have been studied; acute toxicity of the most active compounds has been determined. The relationship between the structure and biological activity of the obtained compounds has been elucidated. The compounds acting comparably or better than the reference drugs have been found.     

Effect of ordering on the structure and heat capacity of cubic vanadium carbonitrides VC<Subscript>x</Subscript>N<Subscript>y</Subscript>

Experimental results are presented on measurements of the crystal structure and heat capacity of nonstoichiometric cubic vanadium carbonitrides VC_xN_y (x + y = 0.85) in the region of disorder-order phase transitions. It is found that ordered phases V₆(C,N)₅□ and V₈(C,N)₇□ with the structures of the V₆C₅ and V₈C₇ types form in vanadium carbonitrides at a temperature of ～1100 K through the first-order phase transition mechanism. The channels of disorder-order transitions are determined. It is found that, in the nonmetal sublattice of the detected ordered phases, C and N atoms form one sublattice and structural vacancies □ form another sublattice. C and N atoms are randomly distributed in their sublattice.     

Nanostructure of Dispersed and Compact Nonstoichiometric Vanadium Carbide

Structure and properties of dispersed and compact nanocrystalline vanadium carbide VC0.875 were studied. Dispersed vanadium nanocarbide was prepared by prolonged aging of a coarse-grained VC0.875 powder. It has a unique nanostructure: nanocrystallites of dispersed vanadium carbide have a shape of bent lobes up to 600 nm in diameter and 15-20 nm thick. Annealing and quenching of compact samples of coarsegrained VC0.875 carbide result in the formation of a nanodomain structure. The nanostructured carbide VC0.875 corresponds in composition to the higher boundary of a homogeneity area of a cubic phase and mainly contains ordered V8C7 phase, which belongs to the P4₃32 space group. Cold pressing and subsequent vacuum sintering of vanadium carbide nanopowder at 2000 K gave sintered samples approaching diamond in microhardness.     

Order-disorder phase transformations and specific heat of nonstoichiometric vanadium carbide

AbstractA study has been made of the order-disorder phase transformations in the homogeneity region of the VC_y nonstoichiometric cubic vanadium carbide (0.66<y<0.88). It has been established that an ordered V₆C₅ phase with monoclinic (space group C2/m) or trigonal (P3₁) symmetry, and a cubic (space group P4₃32) ordered V₈C₇ phase can form in the VC_y carbide below 1450 K, depending on the actual composition. The effect of off-stoichiometry and structural vacancy ordering on the specific heat of the VC_y carbide has been investigated. The temperatures and heats of the reversible order-disorder equilibrium transitions have been determined. The ordering in the VC_y carbide is shown to be a first-order phase transition. An equilibrium diagram of the V-C system taking into account ordering in the nonstoichiometric vanadium carbide has been constructed. Fiz. Tverd. Tela (St. Petersburg) 41, 529–536 (March 1999)     

Disorder-order phase transformations and electrical resistivity of nonstoichiometric titanium carbide

Phase transformations of the disorder-order type in the homogeneity region of nonstoichiometric titanium carbide TiC_y (0.5<y<1.0) have been studied. It has been established that, depending on the actual composition of TiC_y, there may form in it for T<980–1000 K a cubic or a trigonal ordered Ti₂C phase (space groups Fd3m and , respectively) and a rhombic ordered Ti₃C₂ phase (space group C222₁). The effect of ordering on the electrical resistivity of the nonstoichiometric carbide TiC_y was studied, and the temperatures of the reversible disorder-order equilibrium transitions determined. The ordering in titanium carbide is shown to be a first-order phase transition. Fiz. Tverd. Tela (St. Petersburg) 40, 1332–1340 (July 1998)     

A theoretical study of premixed turbulent flame development

Flame development in a statistically stationary and uniform, planar, one-dimensional turbulent flow is theoretically studied. A generalized balance equation for the mean combustion progress variable, which includes turbulent diffusion and pressure-driven transport terms, as well as the mean rate of product creation, is introduced and analyzed by invoking the sole assumption of a self-similar flame structure, well-supported by numerous experiments. The assumption offers the opportunity to simplify the problem by splitting the aforementioned partial differential equation into two ordinary differential equations, which separately model spatial variations of the progress variable and time variations of flame speed and thickness. The self-similar profile of the progress variable, obtained in numerous experiments, is theoretically predicted. Closures of the normalized pressure-driven transport term and mean rate of product creation are obtained. The closed balance equation shows that turbulent diffusion dominates during the initial stage of flame development, followed by the transition to counter-gradient transport in a sufficiently developed flame. A criterion of the transition is derived. The transition is promoted by the heat release and pressure-driven transport. Fully developed mean flame brush thickness and speed are shown to decrease when either density ratio or pressure-driven transport increases. Solutions for the development of the thickness are obtained. The development is accelerated by the pressure-driven transport and heat release.