Exploiting border structure in solving large sparse linear systems in bordered triangular form

An elimination strategy for solving sparse linear systems in bordered triangular form is presented. This strategy is designed to exploit certain common structural properties of the borders of such a system. It may also be interpreted as a recursive application of block elimination. The technique is numerically efficient and provides significant reductions in fill-in compared to routine Gaussian elimination. It is applicable in the iterative solution of the large systems of nonlinear equations that arise in the equation-oriented approach to process simulation and design calculations, as well as in other problems of interest to the chemical engineer.     

Metal recovery in a pilot-scale rotating cylindrical wiper-blade electrode system

The performance of an experimental pilot-scale electrochemical reactor using a rotating cylindrical electrode equipped with wiper blades is described. Data obtained from monopolar depositing and bipolar stripping—depositing of copper from dilute aqueous electrolytes are presented and certain economic aspects of metal recovery are discussed.     

Computer-aided reaction system synthesis based on structured process energy-exergy-flow diagram

A computerized thermodynamics-oriented procedure for reaction system synthesis is proposed. First, hierarchy structure of chemical reactions is discussed and the reaction system is categorized into three types; (1) combination with a heat source or sink, (2) combination with a reaction donor, and (3) decomposition of target reaction into subtargets. Then, the algorithm to find subtarget reactions and/or donor reactions is presented.     

Estimation of the particle diffusivity in a liquid-solids fluidized bed based on a stochastic model

A simple method was developed for estimating the particle diffusivity or mixing coefficient in a liquid-solids fluidized bed from the variance (dispersion) of the number of particles in a given section of the bed during relaxation in the bed expansion. This variance was estimated from the pressure drop history above the location of the pressure sensor recorded continuously after the stepwise disturbance in the velocity of the fluidizing medium. The method has been verified by comparing the particle diffusivities obtained by the present method with the available data obtained by other methods.     

Autocatalytic reactions in the isothermal,continuous stirred tank reactor: Isolas and other forms of multistability

Autocatalytic reactions are often complicated, and analyses of their behaviour in open systems can seem too particular to permit useful generalisation. We study here the simplest of circumstances (uniform temperatures and concentrations in the isothermal CSTR) and the simplest of reaction schemes: (i) quadratic autocatalysis (A + B→2B); and (ii) cubic autocatalysis (A + 2B→3B). The catalyst B may be stable or have a finite lifetime (B→ inert products). Allowing for this finite lifetime adds another dimension to the interest.The phenomena encountered include multistability, hysteresis, critical extinctions, critical ignitions, and anomalous relaxation times (though infinite values do not arise). Patterns of stationary states as function of residence time can show isolas and mushrooms. All these aspects yield to simple algebraic analysis. The presence of the catalyst B in the inflow can make qualitative differences of a kind parallelled by an additional, non-catalytic reaction of the same stoichiometry (e.g. A→B). Invoking the reversibility of the reactions neither increases nor diminishes their variety, and thermodynamic considerations have little to do with the many different patterns of reactivity displayed.The local stability of the various stationary states has also been characterized. Quadratic autocatalysis shows limited variety (stable node, stable focus); cubic autocatalysis generates all the kinds of stationary state possible in a two-variable system. Again all the algebra is straightforward if not always simple. Sustained oscillatory behavior (limit cycles) also occur.All these remarks relate to isothermal systems, but there are the most striking parallels between isothermal autocatalysis and the exothermic, first-order reaction in the CSTR. Behaviour with an autocatalyst of complete stability corresponds to perfect heat insulation (adiabatic operation) in the non-isothermal, exothermic system.     

Multivariate statistical analysis of solids mixing

The applicability of multivariate statistics to the analysis of mixing processes and mixtures of multicomponent solid particles in a drum mixer has been successfully demonstrated. The applications include (1) test of sampling techniques, (2) test of the completely random state, (3) test of the completely segregated state, and (4) definition of a mixing index for a multicomponent mixture.     

E.s.r. study of annealing and melting effects on the molecular motion of spin trapped chain-end radicals located on the polyethylene surface

E.s.r. spectra of chain-end spin labels on the surface of polyethylene powder were obtained for high and low density polyethylene samples at various stages of heat treatment process. The subsequent crystalline structures of the samples were examined with wide angle and small angle X-ray diffraction spectra. The effects of annealing on the motion of the labels were dependent on annealing temperature and the type of the samples. Higher temperature annealing decreased the rotational correlation times (τ_c) and their activation energy in high density polyethylene but did not affect those of low density polyethylene. Melting decreases the values of τ_c and ΔE for both high an low density polyethylene samples. The cause of these decreases were attributed to the changing of the sites of the chain-end labels. The motion of the labels appeared to be influenced by the local segmental motion of the polymer main chains.     

Reduction of sulphur in PbSPbCl2NaCl melts

The reduction of dissolved sulphur and the soluble species formed during the electrolysis of PbS dissolved in the PbCl₂NaCl eutectic has been studied chronopotentiometrically. The pre-lead reduction process reported earlier[1] can now be assigned to a subsulphide species that is generated electrochemically. At higher PbS concentrations (eg 10^?3 mol cm^?3), elemental sulphur introduces a new reduction wave in addition to the subsulphide. The saturation solubility of sulphur is approximately proportional to the square of the PbS concentration. It has been estimated to be 2.3× 10^?4 mol S cm^?3 at 430°C for a melt containing 2.4× 10^?3 mol PbS cm^?3 in the PbCl₂-NaCl eutectic.     

红藻条斑紫菜R－藻红蛋白中的能量传递过程

本文通过对条斑紫菜Ｒ－ＰＥ（藻红蛋白）及其α－β－γ亚基的吸收光谱和荧光光谱进行计算机解叠，研究了Ｒ－ＰＥ内发色团之间的能量传递过程，并对Ｒ－ＰＥ及亚基内的各发色团进行了“ｓ”和“ｆ”型的指认。发现在亚基中为“ｆ”型的发色团在Ｒ－ｐＥ（αβ）＿６γ中起着“ｓ”型发色团的作用，且将能量传递给最后的“ｆ”型发色团。荧光激发偏振光谱进一步证明了Ｒ－ＰＥ内的能量转移过程与计算机解叠的结果一致。     

转化乳剂的离子电导和光电导研究

本文研究了ＡｇＢｒＣｌ转化乳剂的离子电导和光电导。随着乳剂中溴含量的增高，其离子电导也随之升高，而光电子寿命则降低。ＡｇＢｒＣｌ乳剂的离子电导主要取决于其组成；ＡｇＢｒＣｌ转化乳剂的光电子寿命主要受隙间银子浓度的影响，隙间银离子浓度越大，光电子寿命越短。