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1.
As a result of detailed voltammetric, impedance, electron microscopic and opticalin situ investigations of the peculiarities encountered in zinc electrowinning from nickel-containing acid electrolytes, a model for the induction period is proposed and its dependence on the process conditions is elucidated. The model is based on the screening effect of hydrogen bubbles formed on the nickel-rich regions of the cathode which give rise to local galvanic cells.Nomenclature C electrode capacitance - C dl double layer capacitance - C Ni volume concentration of Ni2+ ions - d diameter of the circle along which the hydrogen bubble is attached to the surface - D Ni diffusion coefficient of Ni2+ ion - E ze potential of zero charge - f * frequency at the apex of the capacitance loop - F Faraday constant - F c capillary force - F h hydrostatic force - g acceleration due to gravity - q specific mass of the liquid - h height of the hydrogen bubble - R electrolyte resistance - R t charge transfer resistance - V volume of the gas phase - thickness of the diffusion layer - wetting angle at the metal-solution-gas interface - 12, 23, 13 surface tensions between: solid-liquid, liquid-gas and solid-gas phases, respectively - kinematic viscosity - rotation speed of the cathode The first results were presented at the International Conference on Base Metals Technology, 8–10 February, 1989, Jamshedpur, India.  相似文献   

2.
Deposits of zinc-iron alloy have been prepared galvanostatically from a sulphate bath and the crystal structure has been determined by X-ray diffraction and transmission electron microscopy measurements. The electrodeposited zinc-iron alloys have metastable structures and the individual phases coexist over wide composition ranges. The phases are identified as (10073 at % zinc), (8748 at % zinc), 1(7862 at % zinc) and (620 at % zinc). Thec andc/a in the h.c.p. lattice of the -phase decrease continuously with decrease of zinc concentrations, and the latter changes from 1.86 to 1.60 (a andc are the lattice constants of the -phase in the direction of thea- andc-axes, respectively). The -phase particles exhibit a hexagonal plate-like morphology which is thin in the direction of thec-axis. The morphology of the electrodeposits changes from plate-like to pyramidal shape when fine -phase particles (100 nm) start to form surrounding the -phase platelets, and then to lenticular or granular in the /1 duplex region. The -phase forms in the low zinc concentration region and changes the electrodeposits to a fine cuboidal morphology.  相似文献   

3.
For characterization of the surface structure of metallic copper formed on the support, temperature programmed oxidation (TPO) with N2O was carried out over various Cu/ZnO catalysts. Four peaks of the N2 formation (, , and ) were observed at 223, 400, 545 and 600 K in the TPO runs. The average copper crystallite size estimated from the sum of the amount of - and -peaks agreed fairly with those determined by X-ray diffraction and transmission electron microscopy. It was concluded that - and -peaks resulted from the oxidation of metallic copper atoms on the steps, corners and/ or defect sites, and on the flat sites of the surface of copper crystallites, respectively, while - and -peaks resulted from the bulk oxidation of copper.  相似文献   

4.
Mass and momentum transfer at a wall in liquid-particle systems are studied with a two-dimensional model which consists of fixed spherical turbulence promoters arranged in a simple cubic lattice in a rectangular channel. Local values of the mass transfer coefficient and shear stress at a wall of the channel have been measured at identical locations. The results show that there are large differences between the local values but their distribution along the transfer surface is reproduced identically. The dependence of these local values on each other allows one to obtain a general relationship between overall mass and momentum transfer as well as a correlation of mass transfer results for exchange between a wall and a flowing liquid in a fixed bed of particles.Nomenclature a g particle specific area - a coefficient in expression s=a q (q>0) - a, b coefficients in expressionJ M=a(Re) –b - d p particle diameter - d microelectrode diameter - D molecular diffusion coefficient - h K,h B constants in Ergun equation - J M=(¯k/u/)(Sc) 2/3 Colburnj-factor - k local mass transfer coefficient - k local mass transfer coefficient in inert wall - ¯k overall mass transfer coefficient - L length of the transfer surface - q exponent in expressions=a q - (Re)=(ud p)/[v(1-)] modified Reynolds particle number - (Sc)=v/D Schmidt number - s, ¯s velocity gradients at the wall - u superficial liquid velocity - coefficient in Equation 1 - characteristic length - bed porosity - F fluid density - dynamic viscosity - kinematic viscosity - shear stress at the wall - P/L fluid pressure gradient  相似文献   

5.
The kinetics of copper electrocrystallization in citrate electrolytes (0.5M CuSO4, 0.01 to 2M sodium citrate) and citrate ammonia electrolytes (up to pH 10.5) were investigated. The addition of citrate strongly inhibits the copper reduction. For citrate concentrations ranging from 0.6 to 0.8 M, the impedance plots exhibit two separate capacitive features. The low frequency loop has a characteristic frequency which depends mainly on the electrode rotation speed. Its size increases with increasing current density or citrate concentration and decreases with increasing electrode rotation speed. A reaction path is proposed to account for the main features of the reduction kinetics (polarization curves, current dependence of the current efficiency and impedance plots) observed in the range 0.5 to 0.8 M citrate concentrations. This involves the reduction of cupric complex species into a compound that can be either included as a whole into the deposit or decomplexed to produce the metal deposit. The resulting excess free complexing ions at the interface would adsorb and inhibit the reduction of complexed species. With a charge transfer reaction occurring in two steps coupled by the soluble Cu(I) intermediate which is able to diffuse into the solution, this model can also account for the low current efficiencies observed in citrate ammonia electrolytes and their dependencies upon the current density and electrode rotation speed.Nomenclature b, b 1, b 1 * Tafel coefficients (V–1) - bulk concentration of complexed species (mol cm–3) - (si*) concentration of intermediate C* atx=0 (mol cm–3) - C concentration of (Cu Cit H)2– atx=0 (mol cm–3) - C C variation due to E - C concentration of complexing agent (Cit)3- at the distancex (mol cm–3) - C o concentrationC atx=0 (mol cm–3) - C o C o variation due to E - Cv s bulk concentrationC (mol cm–3) - (Cit H), (Cu), (Compl) molecular weights (g) - C dl double layer capacitance (F cm–2) - D diffusion coefficient of (Cit)3- (cm2s–1) - D 1 diffusion coefficient of C* (cm2s–1) - E electrode potential (V) - f 1 frequency in Equation 25 (s–1) - F Faraday's constant (96 500 A smol–1) - i, i 1, i 1 * current densities (A cm–2) - i i variation due to E - Im(Z) imaginary part ofZ - j - k 1, k 1 * , K1, K 1 * , K2, K rate constants (cms–1) - K rate constant (s–1) - K 3 rate constant (cm3 A–1s–1) - R t transfer resistance (cm2) - R p polarization resistance (cm2) - Re(Z) real part ofZ - t time (s) - x distance from the electrode (cm) - Z f faradaic impedance (cm2) - Z electrode impedance (cm2) Greek symbols maximal surface concentration of complexing species (molcm–2) - thickness of Nernst diffusion layer (cm) - , 1, 2 current efficiencies - angular frequency (rads–1) - electrode rotation speed (revmin–1) - =K –1(s) - d diffusion time constant (s) - electrode coverage by adsorbed complexing species - (in0) electrode coverage due toC s - variation due to E  相似文献   

6.
The relaxation parameter K sthat is equal to the ratio of the viscosity to the Kohlrausch volume relaxation time s is analyzed. It is shown that this parameter can be evaluated from the temperature T 13(corresponding to a viscosity of 1013P) and the glass transition temperature T 8 +determined from the dilatometric heating curve. The maximum error of the estimate with due regard for experimental errors is equal to ±(0.4–0.5)logK sfor strong glasses and ±(0.6–0.8)logK sfor fragile glasses, which, in both cases, corresponds to a change in the relaxation times with a change in the temperature by ±(8–10) K. It is revealed that the viscosity, the Kohlrausch volume relaxation time s , and the shear modulus Gof glass-forming materials in silicate, borate, and germanate systems satisfy the relationship log( s G/) 1. The procedure for calculating the temperature dependences of the viscosity and the relaxation times in the glass transition range from the chemical composition and the T 8 +temperature for glass-forming melts in the above systems is proposed. The root-mean-square deviations between the calculated and experimental temperatures T 11and T 13are equal to ±(6–8) K for all the studied (silicate, borate, germanate, and mixed) oxide glass-forming systems. The proposed relationships can be useful for evaluating the boundaries of the annealing range and changes in the properties and their temperature coefficients upon cooling of glass-forming melts.  相似文献   

7.
It is known that during electrodeposition or dissolution electrode shape change depends on the local current density (Faraday's law in differential form). Assuming that concentration gradients in the bulk of the solution may be neglected, the current distribution in an electrochemical system can be modelled by a Laplace equation (describing charge transport) with nonlinear boundary conditions caused by activation and concentration overpotentials on the electrodes. To solve this numerical problem, an Euler scheme is used for the integration of Faraday's law with respect to time and the field equation is discretized using the boundary element method (BEM). In this way, and by means of a specially developed electrode growth algorithm, it is possible to simulate electrodeposition or electrode dissolution. In particular, attention is paid to electrode variation in the vicinity of singularities. It is pointed out that the angle of incidence between an electrode and an adjacent insulator becomes right (/2). This is confirmed by several experiments.List of symbols x i coordinates of a point i belonging to a boundary (m) - t time (s) - h thickness variation at a point belonging to an electrode (m) - M molecular weight (kgmol–1) - m specific weight (kgm–3) - z charge of an ion (C) - F Faraday's constant (C mol–1) - R a2 impedance of the linearized activation overvoltage on cathode (S2 cm–2) - efficiency of the reaction - electric conductivity (–1 m–1) - U electric potential (V) - rate of mechanical displacement of a point (m s–1) - V applied potential on an electrode (V) - W Wagner number defined as the ratio of the mean impedance of the reaction and the mean ohmic resistance of the cell given by L/ with L a characteristic length of the cell. - overvoltage (V) - 1 overvoltage on anode (V) - 2 overvoltage on cathode (V)  相似文献   

8.
Z-11-Hexadecenyl acetate (Z11–16OAc), dodecyl acetate (12OAc),Z-11-hexadecenal (Z11–16Aid), andZ-11-hexadecenol (Z11– 16OH), were found in pheromone gland extracts of femaleSesamia nonagriodes (Lef.) [Lepidoptera: Noctuidae]. These four components were also present in airborne volatiles collected from calling virgin females in a 651889 ratio. Hexadecyl acetate (16OAc) was also detected but found to be inactive. The identification was based on multicolumn GC analysis, mass spectrometry, and field activity.Z11–16OAc is the major sex pheromone component; the addition of the secondary components individually decreased male captures. The blend of the four synthetic components in 691588 ratio was highly attractive to males; 200 g per trap was the most effective concentration in field tests.Lepidoptera: Noctuidae  相似文献   

9.
The influence of current density on the coulometric efficiency of -PbO2 deposition in 0.5 M cM lead nitrate, the nonstoichiometry, impurity of -PbO2 and voltammetric double layer capacitance have been studied. While the coulometric efficiency is about 95% at current densities less than 30 mA cm–2, it decreases at higher current densities. The oxygen deficiency, , in -PbO2- has been found to be invariant with the current density. X-ray diffraction studies provide a linear decrease in the weight percent of -PbO2 as an impurity in the -PbO2 with increase in current density, and the -PbO2 is found to be absent at 100mA cm–2 or higher. The estimated double layer capacitance from the cyclic voltammograms recorded in the potential range 0.70–1.10V, increases with deposition current density, indicating enhanced surface area.  相似文献   

10.
Electrodiffusional methods of studying unsteady turbulent mass transfer involved measurement of a transient current characteristicI() after step polarization of a rotating annular cylindrical 46 mm dia electrode at a fixed rotational velocity atRe=(2–9)×104 andSc=2.4×103. The potassium ferri-ferrocyanide system with NaOH background electrolyte was used. An initial asymptote at 0 served as a test. The similarity of the normalized transfer coefficientK +=/u * with respect to the Reynolds number demonstrated turbulent flow development. Tests were aimed at determining the powern in the approximate law of attenuation of turbulent diffusionD t in they-direction normal to the wallD t/v=by + n .A numerical solution of the unsteady turbulent diffusion equation obtained as a set of lg ()=f() curves for 3n4 with an interval 0.2, where ()=I/I()#x2212;1 has been achieved.Notation I diffusion current - C C 0 andC p concentration, concentration in the bulk liquid and polymer concentration, respectively - C f drag of a Newtonian fluid - time - U linear velocity - v kinematic viscosity - angular velocity - j flow - y + yu */v, + = u * 2 and =(1-C/C 0), dimensionless quantities This paper was presented at the Workshop on Electrodiffusion Flow Diagnostics, CHISA, Prague, August 1990.  相似文献   

11.
Mass transfer rates at planar electrodes and electrodes of expanded metal placed in the centre of a bubble column were measured. The gas velocity and the physical properties of the electrolytic solutions were varied and different types of expanded metal were investigated. In some cases increases in the mass transfer coefficient over the planar electrode value of more than 100% were obtained. Dimensionless correlations are presented for the different systems.Nomenclature A mean mesh aperture - D diffusivity - D c column diameter - g acceleration due to gravity - Ga Galileo number =gL 3/v 2 - Gr Grashof number =gL 3/v 2 - k mass transfer coefficient - L electrode height - r radial position - R column radius - Re Reynolds number =R h V s/ - R h hydraulic radius = / - Sc Schmidt number = /D - Sh Sherwood number =kL/D - Vs superficial velocity - gas void fraction - M porosity of expanded metal - kinematic viscosity - density - electrode area per unit volume - electrode area per unit net area  相似文献   

12.
Pheromone components and sex attractant blends consisting of 3Z,6Z,9Z-triene hydrocarbons and racemic and chiral forms of3Z,6Z-cis-9, 10-epoxydienes have been elucidated for two noctuid and one geometrid moth species. MaleEuclidea cuspidea moths were attracted to blends of 3Z,6Z,9Z-heneicosatriene (3Z,6Z,9Z-21H) with 3Z,6Z-cis-9,10-epoxyheneicosadiene (3Z,6Z-cis-9,10-epoxy-21H). In addition to these compounds, 3Z,6Z,9Z-20H, and two regioisomeric C21 epoxides were tentatively identified in pheromone gland extracts.Caenurgina distincta moths were attracted by an 81 blend of 3Z,6Z,9Z-20H with3Z,6Z-cis- 9,10-epoxy-20H.Eupithecia annulata moths were attracted by either 3Z,6Z-cis-9,10-epoxy-20H or 3Z,6Z-cis-9,10-epoxy-21H, and by the 95,10R enantiomer of each epoxide. 3Z,6Z,9Z-21H and 3Z,6Z-cis-9,10-epoxy-21H were tentatively identified from pheromone glands. Pheromone components were identified by a combination of coupled gas chromatography-electroantennography, gas chromatography-mass spectrometry, and field bioassays.Issued as NRCC #32477.  相似文献   

13.
The chelating interaction between metal ions and 4,4-disubstituted-2,2-bipyridyl-containing high-performance polymeric ligands prepared from 2,2-bipyridyl-4,4-dicarboxylic acid and a series of primary aromatic diamines was investigated by optical spectroscopy. Optical spectroscopic studies of the chelation of ruthenium ions by the 2,2-bipyridyl-containing polyamides revealed the formation of distinct ruthenium(II) complexes [RuII(poly)L4] ( max=530 nm), [RuII(poly)2L2] ( max=584 nm), and [RuII(poly)3]2+ ( max=476 nm), while iron(II) ions formed only one complex ( max=569 nm). The diverse functional features of the polymer repeat unit directly influences the chelation of metal ions.  相似文献   

14.
Experimental measurements on free convection mass transfer in open cavities are described. The electrochemical deposition of copper at the inner surface of a cathodically polarized copper cylinder, open at one end and immersed in acidified copper sulphate was used to make the measurements. The effects on the rate of mass transfer of the concentration of the copper sulphate, the viscosity of the solution, the angle of orientation, and the dimensions of the cylinder were investigated. The data are presented as an empirical relation between the Sherwood number, the Rayleigh number, the Schmidt number, the angle of orientation and the ratio of the diameter to the depth of the cylinder. Comparison of the results with the available heat transfer data was not entirely satisfactory for a number of reasons that are discussed in the paper.Nomenclature C b bulk concentration of Cu++ (mol cm–3) - C b bulk concentration of H2SO4 (mol cm–3) - C o concentration of Cu++ at cathode (mol cm–3) - C o concentration of H2SO4 at cathode (mol cm–3) - D cavity diameter (cm) - D diffusivity of CuSO4 (cm2 s–1) - D diffusivity of H2SO4 (cm2 s–1) - Gr Grashof number [dimensionless] (=Ra/Sc) - g acceleration due to gravity (=981 cm s–2) - H cavity depth (cm) - h coefficient of heat transfer (Wm –2 K–1) - i L limiting current density (mA cm–2) - K mass transfer coefficient (cm s–1) - K 1,K 2 parameters in Equation 1 depending on the angle of orientation () of the cavity (see Table 3 for values) [dimensionless] - k thermal conductivity (W m–1 K–1) - L * characteristic dimension of the system (=D for cylindrical cavity) (cm) - m exponent on the Rayleigh number in Equation 1 (see Table 3 for values) [dimensionless] - Nu Nusselt number (=hL * k–1) [dimensionless] - n exponent on the Schmidt number in Equation 1 (see Table 3 for values) [dimensionless] - Pr Prandtl number (=v/k) [dimensionless] - Ra Rayleigh number (defined in Equation 2) [dimensionless] - Sc Schmidt number (=v/D) [dimensionless] - Sh Sherwood number (=KD/D) [dimensionless] - t H+ transference number for H+ [dimensionless] - t Cu++ transference number for Cu++ [dimensionless] - specific densification coefficient for CuSO4 [(1/)/C] (cm3 mol–1) - specific densification coefficient for H2SO4 [(1/)/C] (cm3 mol–1) - k thermal diffusivity (cm2 s–1) - dynamic viscosity of the electrolyte (g cm–1 s–1) - kinematic viscosity of the electrolyte (= /)(cm2 s–1) - density of the electrolyte (g cm–3) - angle of orientation of the cavity measured between the axis of the cavity and gravitational vector (see Fig. 1) [degrees] - parameter of Hasegawaet al. [4] (=(2H/D))5/4 Pr– 1/2) [dimensionless]  相似文献   

15.
Free convective mass transfer rates at vertical electrodes of expanded metal were measured by the electrochemical method. Electrode height and electrolyte concentration were varied and the dependence of the expanded metal on the geometry and on the mesh orientation with respect to the vertical direction was investigated. A single equation was developed to correlate all the results. Besides the generalized dimensionless groups for natural convection the correlation includes a parameter characterizing the geometry of the expanded metal. The correlation also represents free convective mass transfer results obtained by other investigators with vertical mesh electrodes.Nomenclature a width of narrow space - A mean mesh aperture - c 0 bulk concentration - d cavity diameter - d p particle diameter - D diffusivity - g acceleration due to gravity - Gr Grashof number =gh3/v2 - h electrode height - H cavity depth - k mass transfer coefficient - LD long dimension of expanded metal - R h hydraulic radius - Sc Schmidt number=/D - SD small dimension of expanded metal - Sh Sherwood number=kh/D - void fraction - kinematic viscosity - density - electrode area per unit volume - electrode area per unit net area  相似文献   

16.
A theoretical analysis of the membrane current distribution is carried out for a typical three-compartment electrolyser in order to point out the effects of geometry on the design of mesh anodes. The factors considered here include the introduction of an insulated border, the perforation of the anode, the finite conductivity of the substrate, and the introduction of a bus bar connection between the anode and the current lead. It is recommended that no insulated border be introduced, since, while reducing the anode area and consequently its cost, it leads to a nonuniform membrane current distribution and hence decreases membrane efficiency. Also, titanium is found to be a suitable substrate for the anode in spite of its relatively low conductivity.Nomenclature a Dummy variable in Equation 3 - b Border width - b * Effective border width - f Fraction of open area in electrode - F B Parameter defined by Equation 4 - F p Parameter defined by Equation 8 - F be Parameter defined by Equation 15 - I Total cell current - i Local current density on the membrane at a point - i Current density along the membrane far from the border - loc Average value of current density over a small portion of the membrane - cell Average value of current density over the whole membrane - Average value of current density on membrane far from the border - i max Maximum value of current density on membrane - loc,max Maximum value of loc on membrane due to electrode and bus bar resistance effects - i p Maximum value of current density over a single electrode perforation - j (–1)1/2 - l p Characteristic length of mesh - L Dimension of anode in the direction of bus bar orientation - L Dimension of anode in the direction perpendicular to bus bar - L Width of bus bar - s Interelectrode gap - s 1 Membrane to anode gap - R Electrolyte and membrane resistance - x b Coordinate along length of bus bar - x B Coordinate in border effect analysis - x e Coordinate along electrode in the analysis of its resistance effect - x P Coordinate in perforation effect analysis - b Bus bar thickness - e Electrode thickness - b Bus bar resistivity - e Electrode resistivity - em Resistivity of metal in electrode - b Potential at a point on the bus bar - e Potential at a point on the electrode - ¯ e Average potential over the electrode - max Potential at the current source - cath Potential at the equipotential cathode  相似文献   

17.
The response of two okra (Abelmoschus esculentus L. Moench) varieties (White velvet and NHAE 47-4) to fertilization in northern Nigeria was examined using four rates of nitrogen (0, 25, 50 and 100 kg ha–1) and three rates of phosphorus (0, 13 and 26 kg ha–1). Nitrogen application significantly increased green pod yield, pod diameter, number of fruits per plant, number of seeds per pod and pod weight. Application of phosphorus also significantly increased green pod yield, pod number and number of seeds per pod. The two varieties responded to nitrogen application differentially with respect to green pod yield. For optimum green pod yield of White velvet 35 kg N ha–1 is suggested while for variety NHAE 47-4, N fertilization can be increased to 70 kg ha–1. There was no differential response of varieties to phosphorus fertilization for green pod yield; however, the application of 13 kg ha–1 enhanced the performance of both varieties.  相似文献   

18.
This paper investigates the performance and design of three laminar radial flow electrochemical cells (the capillary gap cell, stationary discs; the rotating electrolyzer, co-rotational discs; the pump cell, one disc rotating and the other stationary). Modeling of a competing electrosynthesis pathway is described — the methoxylation of furan. The model developed incorporates convective, diffusive and migrative influences with three homogeneous and two electrodic reactions. Two sizes of reactors are considered and the performance of the different reactor types analyzed as a function of size. The superiority of the rotational cells is illustrated for this reaction scheme compared to both the capillary gap cell (CG) and a parallel plate reactor (PPER). Scale-up criteria are scrutinized and two approaches to laminar radial flow reactor scale-up are investigated. The one suggested herein shows that Taylor number, residence time,IR drop and rotational Reynolds number must all be accounted for even with a fairly simple electrosynthesis pathway. A quantitative evaluation of this scale-up procedure is included.Nomenclature a gap width (m) - C dimensionless concentration - D diffusion coefficient (m2 s-1) - Pe Peclet number ( c a/D) - Q volumetric flow rate (m3 s-1) - r dimensionless radius - R radius (m) - Re Reynolds number ( c a/v) - Re rotational Reynolds number (R 0 2 /v) - t time (s) - residence time of reactor - r dimensionless radial velocity - z dimensionless axial velocity - V volume (m3), velocity (m s-1) and voltage - z dimensionless axial distance Greek symbols Taylor number ((a 2 )/4v)1/2 - ratio of characteristic lengths (a/R 0) - constant - v kinematic viscosity (m2 s-1) - angular velocity (rad s-1) - reference value - Thiele moduli   相似文献   

19.
Résumé L'expérience a montré qu'il est possible d'obtenir par l'oxydation anodique des variétés- et-PbO2 parfaitement pures au point de vue cristallographique, et que la réduction de-PbO2 se déroule à un potentiel plus élevé et plus constant que celui observé sur-PbO2. La réactivité électrochimique de-PbO2 est plus importante que celle de-PbO2. L'introduction de Sb dans les réseaux cristallins de ces variétés diminue fortement leur cristallinité et dans le cas de-PbO2 on obtient toujours simultanément- et-PbO2. Du point de vue réactivité électrochimique, l'accroissement dû à la présence de Sb est de l'ordre de 33%.
The results demonstrate the possibility of preparing through anodic oxidation rigorously pure, from the crystallographic point view,- and-PbO2 phases, and that the reduction of-PbO2 takes place at a potential which is more positive and more constant than the one obtained with-PbO2. In a battery, the electrochemical reactivity of-PbO2 is more important. The introduction of Sb into the lattice of these forms of PbO2 decreases their crystallinity, and for the case of-PbO2 we obtained simultaneously- and-PbO2. Their electrochemical reactivity can increase by about 33%.
  相似文献   

20.
Using a continuous flow stirred tank electrochemical reactor model, the stability and transient response of electrolytic reactors is analysed in terms of a Liapunov function and digital simulation.Nomenclature a e electrode area - A i reactor wall area; i=2, 3, 4, 5 denote the four vertical walls of a rectangular tank;A 1 is tank bottom area;A 6 is area of the electrolyte surface - b slope of the polarization curve - c electrolyte concentration;c i its inlet value;c * its steady state value - C p specific heat of the electrolyte - d 1 thickness of the reactor walls - F Faraday's constant - G electrolyte mass flow rate - h 6 heat transfer coefficient associated with electrolyte surfaceA 6 - I electric current - k geometric aspect ratio (electrode separation distance divided by electrode area) - k 1 thermal conductivity of the reactor wall - m e mass of the electrolyte in the reactor - Q quantity defined by Equation 8a - Q L rate of heat dissipation - q electrolyte volumetric flow rate - R quantity defined by Equation 8b - R e electrolyte resistance - S quantity defined by Equation 8c - T electrolyte temperature;T i its inlet values,T * its steady state value - t a ambient temperature - t f floor temperature - t time - U voltage drop - U i wall-to-ambient overall heat transfer coefficient associated with wallA i - V(x) Liapunov function - V t active reactor volume (free electrolyte volume) - X 1 dimensionless temperature - x 2 dimensionless concentration - z valency - , lumped parameters defined by Equations 19a and b - HR heat of reaction - , parameters of the Liapunov matrix - quantity defined by Equation 8e - quantity defined by Equation 9a - dimensionless time - electrolyte density - electrolyte conductivity - * quantity defined by Equation 9b - quantity defined by Equation 8d Special symbols x1, x2 derivatives of x1 and x2 with respect to (Equation 12)  相似文献   

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