Abstract:Simulation studies are presented of single-and two-component adsorption in periodic, countercurrent, multicolumn systems. It is demonstrated that long adsorption profiles are likely to occur in the adsorption of organic contaminants from wastewater onto activated carbon, thus favoring the use of multicolumn rather than single-column systems. For two-component adsorption in a multicolumn system, it is shown that more switching periods are needed than in the single-column case before the profiles stabilize, that… Show more
“…Also it can be noticed that the breakthough curves were delayed by 1.5, 2 and 5.5 hours for component 1, 2 and 3 respectively. Similar observations have been reported by Zwiebel et al (1974), Klaus et al (1977), Halzli et al (1978 and Sung et al (1979). It is believed that the height of the peak is a function of the length of the column; because, the longer the bed the larger the total amount of the nonkey component displaced.…”
Section: Results For the Three-component System In An 82-cm Adsorbersupporting
confidence: 85%
“…Similar observations were reported by Helfferich and Klein (1970) and have been found by others including Zwiebel et al (1974), Hsieh et a]. (1977), Klaus et al (1977), Balzli et al (1978), and Sung et al (1979). In order to explain this phenomena let us define the components in a multicomponent system according to the degree of adsorption affinity or the degree of nonlinearity in their equilibrium isotherms.…”
Section: Results For a 41-cm Adsorbersupporting
confidence: 76%
“…Adsorption is one of the most important processes used in industry for the separation of solutes from a fluid stream onto a solid surface and especially important in advanced wastewater treatment Rosen (1952,1954) Tien and Thodos (1960 Colwell and Dranoff (1966) Liaw et al (1979) Tien and Thodos (1959,1965) Cooney and Lightfoot (1966) Hall et al (1966 Kostecki et al (1967) Morton and Murrill(l967) Chen et al (1968) Colwell and Dranoff (1969, 1971) Cooney and Strusi (1972) Usinowics (( 1972) Gariepy and Zwiebel(l975) Tien et al (1976) Klaus et al (1977) Hsieh et al (1977 von ) Balzh et al (1978) Sung et al (1979 Reis et al (1979) Only asymptotic solution was obtained. ** Pseudwbinary isotherms were used.…”
Section: Introduction and Literature Reviewmentioning
A generalized mathematical model is developed to describe the process of multicomponent adsorption on activated carbon in fixed beds. Numerical, finite difference, solutions for the adsorption of binary, and ternary organic mixtures are shown to satisfactorily match previously published experimental data.
“…Also it can be noticed that the breakthough curves were delayed by 1.5, 2 and 5.5 hours for component 1, 2 and 3 respectively. Similar observations have been reported by Zwiebel et al (1974), Klaus et al (1977), Halzli et al (1978 and Sung et al (1979). It is believed that the height of the peak is a function of the length of the column; because, the longer the bed the larger the total amount of the nonkey component displaced.…”
Section: Results For the Three-component System In An 82-cm Adsorbersupporting
confidence: 85%
“…Similar observations were reported by Helfferich and Klein (1970) and have been found by others including Zwiebel et al (1974), Hsieh et a]. (1977), Klaus et al (1977), Balzli et al (1978), and Sung et al (1979). In order to explain this phenomena let us define the components in a multicomponent system according to the degree of adsorption affinity or the degree of nonlinearity in their equilibrium isotherms.…”
Section: Results For a 41-cm Adsorbersupporting
confidence: 76%
“…Adsorption is one of the most important processes used in industry for the separation of solutes from a fluid stream onto a solid surface and especially important in advanced wastewater treatment Rosen (1952,1954) Tien and Thodos (1960 Colwell and Dranoff (1966) Liaw et al (1979) Tien and Thodos (1959,1965) Cooney and Lightfoot (1966) Hall et al (1966 Kostecki et al (1967) Morton and Murrill(l967) Chen et al (1968) Colwell and Dranoff (1969, 1971) Cooney and Strusi (1972) Usinowics (( 1972) Gariepy and Zwiebel(l975) Tien et al (1976) Klaus et al (1977) Hsieh et al (1977 von ) Balzh et al (1978) Sung et al (1979 Reis et al (1979) Only asymptotic solution was obtained. ** Pseudwbinary isotherms were used.…”
Section: Introduction and Literature Reviewmentioning
A generalized mathematical model is developed to describe the process of multicomponent adsorption on activated carbon in fixed beds. Numerical, finite difference, solutions for the adsorption of binary, and ternary organic mixtures are shown to satisfactorily match previously published experimental data.
“…IR recent years, a few research groups (Chen et al, 1972;Svedberg, 1976;Klaus et al, 1977) carried out analyses, simulating the periodic countercurrent operation of multistage adsorption-bed systems. In view of the practical importance of multicomponent, liquid phase ad-…”
The operation of two arrangements of multistage adsorption beds, parallel and series, was analyzed, and the optimal design problem of minimizing the capital and operating costs of the multistage adsorption bed systems was formulated. Solution of the optimization problem was obtained by using the Fibonacci search scheme. For the purpose of the study, data on the adsorption of liquid on activated carbon were taken from the literature for both single solute and multisolute adsorption systems and was used to derive the expressions for adsorption rate and the equilibrium relationship. Details of the performance of the optimally designed multistage adsorption bed systems are presented in terms of the physical and design parameters.
“…This is the case when we use Ficks law for particle mass transfer insted of the linear driving force model. If finite differences or collocation are applied to the spatial derivatives in the parabolic PDE's then the problem is transformed into a form that allows the use of the numerical method of characteristics; equation (7) becames now a set of equations k= 2, ... ,N+l (12) Several authors used this approach with fmite differences [43] or collocation [44, 45,46]. If due to the complexity of the equations it is difficult to determine analytically the characteristic directions the problem can be solved by means of the so-called pseudocharacteristics method proposed by Carver [47] …”
Section: Numerical Methods Of Characteristicsmentioning
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