Fuel decomposition and benzene formation processes in a premixed, laminar, low-pressure, fuel-rich flame of 1-hexene (C(6)H(12), CH(2)=CH-CH(2)-CH(2)-CH(2)-CH(3)) are investigated by comparing quantitative mole fraction profiles of flame species with kinetic modeling results. The premixed flame, which is stabilized on a flat-flame burner under a reduced pressure of 30 Torr (= 40 mbar), is analyzed by flame-sampling molecular-beam time-of-flight mass spectrometry which uses photoionization by tunable vacuum-ultraviolet synchrotron radiation. The temperature profile of the flame is measured by OH laser-induced fluorescence. The model calculations include the latest rate coefficients for 1-hexene decomposition (J. H. Kiefer et al., J. Phys. Chem. A, 2009, 113, 13570) and for the propargyl (C(3)H(3)) + allyl (a-C(3)H(5)) reaction (J. A. Miller et al., J. Phys. Chem. A, 2010, 114, 4881). The predicted mole fractions as a function of distance from the burner are acceptable and often even in very good agreement with the experimentally observed profiles, thus allowing an assessment of the importance of various fuel decomposition reactions and benzene formation routes. The results clearly indicate that in contrast to the normal reactions of fuel destruction by radical attack, 1-hexene is destroyed mainly by decomposition via unimolecular dissociation forming allyl (a-C(3)H(5)) and n-propyl (n-C(3)H(7)). Minor fuel-consumption pathways include H-abstraction reactions producing various isomeric C(6)H(11) radicals with subsequent β-scissions into C(2), C(3), and C(4) intermediates. The reaction path analysis also highlights a significant contribution through the propargyl (C(3)H(3)) + allyl (a-C(3)H(5)) reaction to the formation of benzene. In this flame, benzene is dominantly formed through H-assisted isomerization of fulvene, which itself is almost exclusively produced by the C(3)H(3) + a-C(3)H(5) reaction.
Detailed data and modeling of cyclohexane flames establish that a mixture of pathways contributes to benzene formation and that this mixture changes with stoichiometry. Mole-fraction profiles are mapped for more than 40 species in a fuel-rich, premixed flat flame (/ = 2.0, cyclohexane/O 2 /30% Ar, 30 Torr, 50.0 cm/s) using molecular-beam mass spectrometry with VUV-photoionization at the Advanced Light Source of the Lawrence Berkeley National Laboratory. The use of a newly constructed set of reactions leads to an excellent simulation of this flame and an earlier stoichiometric flame (M.E. Law et al., Proc. Combust. Inst. 31 (2007) 565-573), permitting analysis of the contributing mechanistic pathways. Under stoichiometric conditions, benzene formation is found to be dominated by stepwise dehydrogenation of the six-membered ring with cyclohexadienyl ¢ benzene + H being the final step. This finding is in accordance with recent literature. Dehydrogenation of the six-membered ring is also found to be a dominant benzene-formation route under fuel-rich conditions, at which H 2 elimination from 1,3-cyclohexadiene contributes even more than cyclohexadienyl decomposition. Furthermore, at the fuel-rich condition, additional reactions make contributions, including the direct route via 2C 3 H 3 ¢ benzene and more importantly the H-assisted isomerization of fulvene formed from i-/n
Abstract-Existing works on distributed averaging explore linear iterations based on reversible Markov chains. The convergence of such algorithms is bounded to be slow due to the diffusive behavior of the reversible chains. It has been observed that certain nonreversible chains lifted from reversible ones mix substantially faster than the original chains [1], [2]. We show that the idea of nonreversible lifting lends itself naturally to a fast distributed averaging algorithm, where each node maintains multiple estimates, corresponding to multiple lifted states in the Markov chain. We give a rigorous proof that it is possible to achieve an -averaging time of Θ(k log(1/ )) on a k × k grid. For a general wireless network, we propose a Location-Aided Distributed Averaging (LADA) algorithm, which utilizes local information to construct a fast-mixing nonreversible chain in a distributed manner. We show that using LADA, an -averaging time of Θ(r −1 log(1/ )) is achievable in a wireless network with transmission radius r.
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