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Showing papers on "Mass transfer coefficient published in 1992"


Journal ArticleDOI
TL;DR: In this paper, a new improved gas hold-up equation is developed that incorporates the influence of gas and liquid properties with an average error of approximately 10% for two column sizes.
Abstract: Experiments were carried out in bubble columns for a number of liquids at pressures between 0.1 and 2.0 MPa for two column sizes. Based on the experimental results as well as extensive literature data, the extent of the effect column dimensions have on gas holdup were determined, both at low and high pressures (which is of importance to scale-up). It was also demonstrated that none of the published empirical gas holdup equations incorporate the influence of gas density accurately. Therefore, a new improved gas hold-up equation is developed that incorporates the influence of gas and liquid properties with an average error of approximately 10%. Finally, it is also discussed to what extent the influence of pressure on other important design parameters such as the interfacial area, the liquid volumetric mass transfer coefficient, and gas and liquid mixing, can be estimated on the basis of empirical equations.

354 citations


Journal ArticleDOI
TL;DR: A reasonable agreement between the model and the experimental data is found and the volumetric mass transfer coefficient obtained experimentally by the specific surface area estimated using the available correlations is found.
Abstract: Liquid-phase mass transfer coefficient in bioreactors have been examined. A theoretical model based on the surface renewal concept has been devloped. The predicted liquid-phase mass transfer coefficients are compared with the experimental data for a mycelial fermentation broth (Chaetomium cellulolyticum) and model media (carboxymethyl cellulose) in a bench-scale bubble column reactor. The liquid-phase mass transfer coefficient is evaluated by dividing the volumetric mass transfer coefficient obtained experimentally by the specific surface area estimated using the available correlations. The available literature data in bubble column and stirred tank bioreactors is also used to test the validity of the proposed model. A reasonable agreement between the model and the experimental data is found.

131 citations


Book ChapterDOI
01 Jan 1992
TL;DR: A mixer-settler arrangement provides a single equilibrium stage; a number of them connected together provide multistage extraction as mentioned in this paper, which creates a large interfacial area and increases the extraction rate considerably.
Abstract: Solvent extraction is a common industrially used equilibrium-based separation process. In such a process, a solute (or solutes) in a solution, aqueous or organic, is extracted into an immiscible solvent, organic or aqueous, by dispersing one of the immiscible phases as drops in the other phase. This creates a large interfacial area and increases the extraction rate considerably. After the extraction is over, the phases are separated and the dispersed phase coalesced. There are two general categories of equipment for solvent extraction. A mixer-settler arrangement provides a single equilibrium stage; a number of them connected together provide multistage extraction. Continuous countercurrent contacting equipment whether in the form of columns or centrifugal devices can generate the equivalent of many stages in one device (Treybal 1963).

130 citations


Journal ArticleDOI
TL;DR: Constant specific oxygen transfer rate was found to be the appropriate scale-up criterion for constant space-time yield and constant product quality, specifically, the molar mass which determines the viscosity yield.
Abstract: The microbial polysaccharide xanthan was produced by cultivation of Xanthomonas campestris in four stirred tanks with volumes ranging from 0.072 to 3 m3. Many of the previously suggested correlations for the volumetric mass transfer coefficient described the present data very unsatisfactorily. When Rushton turbines were employed as stirrers, the experimental results agreed well with a correlation suggested by Kawase and Moo-Young; for the more energy-efficient INTERMIG impellers, this correlation was modified by a factor of three. Constant specific oxygen transfer rate was found to be the appropriate scale-up criterion for constant space-time yield and constant product quality, specifically, the molar mass which determines the viscosity yield.

81 citations


Journal ArticleDOI
TL;DR: In this article, Nitrophenol was extracted from aqueous solution into 1-octanol via membrane solvent extraction, using a hydrophobic, microporous-wall, polypropylene hollow fiber module.

74 citations


Journal ArticleDOI
TL;DR: In this paper, the volumetric mass transfer coefficient k L a was determined using a reliable biological test system for stirred vessels up to 3 m e (equipped with Rushton turbines or Intermig stirrers).

65 citations


Journal ArticleDOI
TL;DR: In this paper, the problem of heat transfer in the viscoelastic fluid flow over a stretching sheet is examined and the important physical quantities such as the skin-friction coefficient and the heat transfer coefficient are determined.
Abstract: The problem of heat transfer in the viscoelastic fluid flow over a stretching sheet is examined. The important physical quantities such as the skin-friction coefficient and the heat transfer coefficient, are determined. It is found that the heat transfer coefficient decreases with the non-Newtonian parameter.

63 citations


Journal ArticleDOI
TL;DR: In this article, the authors show that unless the intensive form of the Gibbs equation is used, in recognition of the assumption of local thermodynamic equilibrium, errors arise in this analysis, which involve the incorrect use of the absolute mass flux instead of the diffusion flux and the appearance of a spurious coupling term between heat and mass transfer.

58 citations


Journal ArticleDOI
TL;DR: In this article, five models simulating the process of simultaneous heat and mass transfer in the drying of a layer of barley are formulated by using the inverse method, the transfer coefficients for all five models are estimated from measured values of instantaneous surface temperature and average moisture content.
Abstract: Five models simulating the process of simultaneous heat and mass transfer in the drying of a layer of barley are formulated By using the inverse method, the transfer coefficients for all five models are estimated from measured values of instantaneous surface temperature and average moisture content A finite element method is used to solve the nonlinear coupled system of two partial differential equations modeling the drying process It is concluded that the mass transfer coefficient is 108 ¥ 10–6 ms–1 for all five models, and that this number is much smaller than that calculated from the Lewis relation The heat transfer coefficient is found to vary from 43 to 59 Wm–2 K–1, depending on the form of the drying model

57 citations


Journal ArticleDOI
TL;DR: In this article, the authors compare various drying models with respect to the accuracy in calculating the material moisture content and temperature versus time and the computation time required, and compare mechanistic as well as phenomenological heat and mass transfer models are considered.
Abstract: The purpose of this investigation is to compare various drying models with respect to (a) the accuracy in calculating the material moisture content and temperature versus time and (b) the computation time required. Mechanistic as well as phenomenological heat and mass transfer models are considered. The mechanistic models are formulated by considering different combinations of mechanisms between (1) moisture diffusion in the solid towards its external surface (2) vaporization and convective transfer of the vapor into the air stream (3) convective heat transfer from the air to the solid's surface (4) conductive heat transfer within the solid mass. The phenomenological model incorporates the drying constant while the mechanistic models incorporate the mass diffusivity, the mass transfer coefficient in the air boundary layer, the thermal conductivity, and the heat transfer coefficient in the air boundary layer. The proposed methodology is applied to experimental data of four vegetables, namely, pota...

55 citations


Journal ArticleDOI
TL;DR: In this article, a dynamic method was developed to investigate the effect of the dispersed organic phase and of the biosurfactant on the volumetric gas/liquid mass transfer coefficient of oxygen.

Journal ArticleDOI
TL;DR: In this article, fractional dispersed phase hold-up and dispersed side mass transfer coefficients for bovine serum albumin (BSA) and amyloglucosidase were measured in 22, 34, 50, 56, 70 and 95 mm i.d. spray columns using salt-polyethylene glycol (potassium phosphate-PEG and sodium sulphate PEG) systems.

Journal ArticleDOI
TL;DR: In this paper, the effect of gas and liquid mass flow rates and liquid viscosity is studied for both reactors as well as the influence of pressure (gas density) for TBR.

Journal ArticleDOI
TL;DR: In this article, a global approach for global shear rate evaluation is introduced, based on hydrodynamic principles, which revealed a simple, single relationship between the mass transfer coefficients and the global Shear rate in the column for all different liquids.

Journal ArticleDOI
TL;DR: In this article, a hollow fiber contained liquid membrane (HFCLM) separation-reaction device was used to recover diltiazem as malate in a l -malic acid containing aqueous strip stream from an alkaline aqueously feed solution.

Journal ArticleDOI
TL;DR: In this article, a surface-aerated stirred cell with a flat liquid surface was used to investigate the absorption of propane and ethene gas into slurries of activated carbon and water.

Journal ArticleDOI
TL;DR: In this article, the authors measured the volumetric mass transfer coefficient in a down flow jet loop reactor with Newtonian and non-Newtonian systems, and found that volumeetric mass transferred coefficient increase in gas and liquid flow rates, and nozzle diameter.

Journal ArticleDOI
TL;DR: In this paper, the mass transfer coefficient of polyethylene glycols with molecular weights ranging from 3,000 to 35,000 dalton were studied when they are tangentially filtered through a nuclear track-etched symmetric microporous membrane made from polycarbonate with transmembrane pressure differences going up to 200 kPa.
Abstract: The flow and retention of 0.1% w/w aqueous solutions of several polyethylene glycols with molecular weights ranging from 3,000 to 35,000 dalton are studied when they are tangentially filtered through a nuclear track-etched symmetric microporous membrane made from polycarbonate with transmembrane pressure differences going up to 200 kPa. The work was done within the framework of the film layer theory for the concentration polarization phenomenon which allows one to obtain the mass transfer coefficient for the cell used as a function of the feed circulation speed and the molecular weight of the solute. The retention curves obtained lead to a sieve radius smaller than the nominal one.

Journal ArticleDOI
TL;DR: In this paper, a kinetic study has been made on the reduction of iron oxide in molten slag, held in an alumina crucible under argon gas atmosphere, with graphite, cylindrical in shape.
Abstract: A kinetic study has been made on the reduction of iron oxide in molten slag, held in an alumina crucible under argon gas atmosphere, with graphite, cylindrical in shape. The composition of the primary slag was 20.5%Li2O-38.4%CaO-41.1%SiO2 (molar ratio=1:1:1). The initial concentration of iron oxide was changed between 3% and 12.5%. The experimental temperature was 1300°C. The rotation speed of the graphite cylinder was varied from zero to 1900 rpm. The reaction rate was largely affected by slag foaming. At higher FeO concentrations, the apparent rate constant was almost independent of the mechanical stirring. At lower concentrations, the effect of the rotation on the apparent rate constant was found to be small at lower speeds but tended to become larger at higher speeds. This was an indication that the melt was strongly agitated by CO gas bubble evolution. The effect of foaming is taken into account by introducing gas holdup factor into ordinary (foam-free) kinetic equations. Values of the mass transfer coefficient of oxygen in the molten slag, calculated by applying the penetration theory, are close to those of the apparent rate constant, measured experimentally. This implies that the rate of the reduction is controlled predominantly by the mass transfer in the slag phase.

Journal ArticleDOI
TL;DR: In this article, the effect of particle density on gas-liquid mass transfer in three-phase fluidized beds of light particles under conditions typical of biochemical applications was investigated. But there was no analogy between particle-liquid heat and mass transfer, in both cases, modelled through its effect on the liquid holdup.

Journal ArticleDOI
TL;DR: In this article, a semi-empirical model of mass transfer accompanied by interfacial turbulence is proposed which accounts for the linear dependence of the mass transfer coefficients on the driving force under interfacial turbulent conditions.

Journal ArticleDOI
TL;DR: In this paper, the rate of fluctuation of the liquid mass transfer coefficient (velocity gradient) variations as a function of liquid and gas flow rates was analyzed in a trickle-bed reactor by using microelectrodes in a nonconducting wall.

Journal ArticleDOI
TL;DR: In this article, fractional dispersed phase hold-up and dispersed side mass transfer coefficients for bovine serum albumin (BSA) and amyloglucosidase (AMG) were measured in 50 mm i.d. York-Schiebel columns using salt-polyethylene glycol (4000), potassium phosphate-PEG and sodium sulphate-pEG systems.

Journal ArticleDOI
TL;DR: In this article, the authors measured the solid-solid mass transfer performance of an external-loop air-lift reactor by dissolution of benzoic acid coated on nylon-6 particles, and the hydrodynamics of the gas-liquid-solid multiphase system in the air-lifting system were investigated.
Abstract: The solid-solid mass transfer performance of an external-loop airlift reactor was measured by dissolution of benzoic acid coated on nylon-6 particles, and the hydrodynamics of the gas-liquid-solid multiphase system in the airlift reactor were investigated. The solid-liquid system was designed to simulate the micro-carrier culture of animal cells, and some typical suspensions of immobilized enzyme particles. The solid-liquid mass transfer coefficient remained constant below a superficial air velocity of 0.04 ms−1 for the particles examined, but increased rapidly with further increase in gas velocity. Solids loading (0.3-3.5% w/w) did not affect the mass transfer coefficient in turbulent flow. The mass transfer coefficient was correlated with energy dissipation rate in the airlift reactor. The mass transfer coefficient in stirred vessels, bubble columns, fluidized beds, and airlift reactors was compared. Over an energy dissipation Reynolds number of 4-400, the solid-liquid mass transfer coefficient...

Journal ArticleDOI
TL;DR: In this paper, the rate of hexavalent chromium reduction from acidic solution at a hydrogen-evolving rotating cylinder lead cathode was studied under conditions of different current densities, Cr6+ concentrations and rotation speeds.
Abstract: The rate of electrolytic reduction of hexavalent chromium from acidic solution at a hydrogen-evolving rotating cylinder lead cathode was studied under conditions of different current densities, Cr6+ concentrations and rotation speeds. The rate of the reaction was found to follow a first order rate equation. The specific reaction rate constant was found to increase with increasing rotation speed until a limiting value was reached with further increase in rotation speed. Mechanistic study of the reaction has shown that at relatively low rotation speeds the reduction of Cr6+ is partially diffusion controlled, at higher speeds the reaction becomes chemically controlled. The limiting specific reaction rate constant was related to the operating current density by the equationK=0.044i 1.385. The current efficiency of Cr6+-reduction was measured as a function of current density, initial Cr6+ concentration and rotation speed. Possible practical applications are discussed.

Journal ArticleDOI
TL;DR: In this article, the state of the art in the experimental determination of mass transfer coefficient in air lift Reactors is reviewed and a criterion which allows to decide whether the assumption of perfect mixing of the liquid phase is valid was experimentally verified.

Journal ArticleDOI
TL;DR: The CDC has been shown to be a mass transfer device of high efficiency (100% gas utilization, 97% approach to equilibrium) giving overall mass transfer coefficient (k L a) which are very high (0.2-1.5 s −1 for O 2 /H 2 O) and when used as a slurry reactor for the catalytic hydrogenation of various unsaturated compounds, the reactions were shown to mostly surface reaction rate controlled as discussed by the authors.

Journal ArticleDOI
TL;DR: In this article, a kinetic study has been made on the reduction of iron oxide in molten slag with graphite, where the composition of the primary slag was changed so that SiO2 concentration varied between 0.33 and 0.50 mole fraction, and slag basicity between 1 and 2.
Abstract: A kinetic study has been made on the reduction of iron oxide in molten slag with graphite. The composition of the primary slag was changed so that SiO2 concentration varied between 0.33 and 0.50 mole fraction, and slag basicity between 1 and 2. The experimental temperature was 1300°C. The reaction rate is significantly affected by the slag composition. From values of the mass transfer coefficient, calculated by using penetration theory, it is presumed that for the slags with basicity of 2, the reaction rate is controlled by mass transfer in the slag phase, but chemical reaction resistance is predominant in slags with lower basicities. By applying a mixed-control model to the latter case, the apparent chemical reaction rate constant was calculated. The rate constant decreases largely with increasing the silica activity. The reaction rate also decreases with the presence of phosphorus in the slag. These behaviors indicate that the reaction rate is very sensitive to the interfacial chemisorption of the surface active agents.

Journal ArticleDOI
TL;DR: Experimental results related to the performance of the impinging-stream loop reactor and showing the influence of specific power input in the liquid phase, the gas flow rate and the nozzle diameter on the volumetric mass transfer coefficient are presented and discussed.

Journal ArticleDOI
TL;DR: In this article, a literature review has been carried out on high intensity gas liquid mixers with regard to their mass transfer performance and the significance of using these mixing devices as reactors is described.