SOOT combustion. co and k catalysts supported on different supports

The catalytic combustion of particulate material was studied on cobalt catalysts promoted with potassium using different supports for its preparation. Silica, aluminium oxides and hydroxides, zirconium oxide and hydroxide were used as supports. The catalytic activity for combustion depends on the type of support used, the higher activity corresponding to the supported catalyst on zirconium oxide. TPR studies indicate that the interaction metal/support allows to explain the higher activity of the CoK/SiO₂ catalyst with respect to the CoK/Al₂O₃ but the high activity found in CoK/ZrO₂is not explained by this interaction. In all cases the Co and K improved the performance of the catalysts.     

海口分层流中的泥沙输运计算

本文展示了一个计算泥沙输运过程的三维数值模型,此模型的特点在于较准确地计入凝絮及河床侵蚀对于泥沙沉淀过程的影响,关于凝絮及侵蚀的定量计算模型已为大量实验所验证,且是首次被结合运用于三维输运计算。文中对于海湾区域的泥沙输运进行了数值研究,第一闪通过定量计算评实了所谓最大浑浊区的存在,并研究了影响其形成及强度的几个因素,这些计算结果不仅评实了数值模型的有效性,而且显示了其在泥沙输运研究方面的作用与潜力     

关于盐度分层流的数值计算

本文在前人对温度分层流研究的基础上,建立了一个适合于计算盐度分层流的非线性垂直涡流系数计算公式,并用于三维流场计算。所得结果不但定性反映了盐度分层流的主要特点,在定量计算上亦与许多已有的实验分析相符合,从而该计算模型的实用性和潜力被证实。这一模型还将对水质研究具有一定的参考价值。     

Chemie freier cyclischer vicinaler Tricarbonyl‐Verbindungen (‘1,2,3‐Trione') Teil 2. Redox‐Reaktionen von 1,2,3‐Trionen mit En‐1,2‐diolen (‘Reduktonen'), 2‐Alkoxy‐en‐1‐olen,En‐1,2‐diaminen und verwandten Spezies

Chemistry of Free Cyclic Vicinal Tricarbonyl Compounds (‘1,2,3‐Triones'). Part 2. Redox Reactions of 1,2,3‐Triones with Ene‐1,2‐diols (‘Reductones'), 2‐Alkoxy‐en‐1‐ols, Ene‐1,2‐diamines, and Related Species . Midstanding carbonyl groups of cyclic 1,2,3‐triones 4 possess outstanding electrophilic (electron‐pair accepting) as well as oxidizing (one‐electron accepting) properties. Their reactions with selected electron‐rich CC bonds as efficient nucleophiles (A_N reactions) and as efficient reducing agents (SET (single electron transfer) reactions) are studied. In a few cases, short‐lived charge‐transfer colors could be observed. Particularly, free didehydro‐5,6‐O‐isopropyliden‐L ‐ascorbic acid ( 4g ), its O,C‐adduct 8g to 5,6‐O‐isopropylidene‐L ‐ascorbic acid ( 1g ), and – via an independent pathway – the ostensible C,C‐dimer 10a of mono‐dehydrodimedone reductone were prepared. Intermediate radical anions 4 ^.− can be considered to be ideal representatives of dicapto‐dative radicals. Novel large‐scale syntheses of 3,4‐dihydroxyfuran‐2(5H)‐one ( 1e ) and of its vicinal trione 4e are presented.     

Chemie freier cyclischer vicinaler Tricarbonyl‐Verbindungen (‘1,2,3‐Trione’). Teil 3

Chemistry of Free Cyclic Vicinal Tricarbonyl Compounds (‘1,2,3‐Triones’). Part 3. Polar and Redox Reactions of 1,2,3‐Triones with Enamines of Different Types – News on Oxonol Dyes, Radicals, and Biradicals The central C?O groups of cyclic 1,2,3‐triones possess outstanding electrophilic (electron‐pair‐accepting) as well as oxidizing (one‐electron‐accepting) properties. Thus, 1,2,3‐triones are chemically related to 1,2‐ and 1,4‐benzoquinones. Whereas polar reactions with carbanion‐like (electron rich) species give rise to nucleophilic addition reactions to C?O groups under exclusive C,C‐bond formation, SET (single‐electron transfer) or redox reactions effect a partial ‘carbonyl Umpolung’ via ketyl intermediates (C,C‐ and/or C,O‐bond formation). Here, we report on numerous reactions between electron‐rich, more‐ or less‐polar enamines with 5,5‐dimethylcyclohexane‐1,2,3‐trione ( 9a ) and 1H‐indene‐1,2,3‐trione ( 9b ). Various new derivatives of basic oxonol dyes were formed, including the first oxonol dye incorporating a 1,3‐dioxocyclohexyl moiety. A novel stable radical, 50 / 50′ , was obtained from 9b and 11a via addition, hydrolysis, and treatment with conc. H₂SO₄. Radical 50 / 50′ represents a vinylogous ‘monodehydroreductone’ and is, thus, related to monodehydroascorbic acid ( 143 ), to Russell's radical cation ( 144 ), to indigo ( 141 / 141′ ), and to quinhydrone.     

Mixed ramsey numbers: Chromatic numbers versus graphs

For positive integers n₁, n₂, …, n_I and graphs G_I+1, G_I+2, …, G_k, 1 ≤ / < k, the mixed Ramsey number _χ(n₁, …, n₁, G_I+1, …, G_k) is define as the least positive integer p such that for each factorization K_p = F₁⊕ … ⊕ F_⊕ F_I+1⊕ … ⊕ F_k, it it follows that χ(F_i) ≥ n_i for some i, 1 ? i ? l, or G_i is a subgraph of F_i for some i, l < i ? k. Formulas are presented for maxed Ramsey numbers in which the graphs G_I+1, G_I+2, …, G_k are connected, and in which k = I+1 and G_I+1 is arbitray.     

Characterizations of n-connected and n-line connected graphs

The following two theorems are proved: (1) A graph G with at least n + 1 points, n ≥ 2, is n-connected if and only if for each set S of n distinct points of G and for each two point subset T of S there is a cycle of G that contains the points of T and avoids the points of S ? T. (2) A graph G with at least n + 1 lines, n ≥ 2, with no isolated points is n-line connected if and only if for each set S of n distinct lines of G and for each two line subset T of S there is a circuit of G that contains the lines of T and avoids the lines of S ? T.     

Survey of Double Vertex Graphs

 Let G be a (V,E) graph of order p≥2. The double vertex graph U ₂ (G) is the graph whose vertex set consists of all 2-subsets of V such that two distinct vertices {x,y} and {u,v} are adjacent if and only if |{x,y}∩{u,v}|=1 and if x=u, then y and v are adjacent in G. For this class of graphs we discuss the regularity, eulerian, hamiltonian, and bipartite properties of these graphs. A generalization of this concept is n-tuple vertex graphs, defined in a manner similar to double vertex graphs. We also review several recent results for n-tuple vertex graphs. Received: October, 2001 Final version received: September 20, 2002 Dedicated to Frank Harary on the occasion of his Eightieth Birthday and the Manila International Conference held in his honor     

A uniqueness theorem for a singular Cauchy problem

Summary See the introduction.