Algorithms for the solution of material balance equations for non-conventional multi-stage operations

Waggoner, R. C.; Loud, Gary Dee

doi:10.1016/0098-1354(77)80007-0

Cited by 15 publications

(6 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is the objective of this paper to present a fairly general nonequilibrium stage model of countercurrent multicomponent separation processes and to describe a method of solving the resulting set of equations. Other nonequilibrium models of staged equipment in the same class as ours are due to Waggoner and Loud (1977) (distillation), to Waggoner and Burkhart (1978) (extraction), and to Ricker et al (1981) (extraction with backmixing). The simplifications made by them (but not by us) will be mentioned at appropriate points in the text.…”

Section: Scopementioning

confidence: 70%

“…Although it certainly is possible to use the results of these models to compute the MERQ functions, we have not attempted to do this yet. Instead, we prefer, for simplicity, to solve algebraic equations only (at this stage anyway) and, therefore, we model the partial condenser/reboiler as equilibrium stages, as do Waggoner and Loud (1977) in their much simpler nonequilibrium stage model.…”

Section: Multlcomponent Distillation In a Multi-nonequlllbrlum Stage mentioning

confidence: 99%

See 1 more Smart Citation

A nonequilibrium stage model of multicomponent separation processes. Part I: Model description and method of solution

1985

View full text Add to dashboard Cite

A nonequilibrium stage model is developed for the simulation of countercurrent multicomponent separation processes. A feature of the model is that the component material and energy balance relations for each phase together with mass and energy transfer rate equations and equilibrium equations for the phase interface are solved to find the actual separation directly. Computations of stage efficiencies are entirely avoided. A procedure for solving the model equations simultaneously using Newton's method is outlined.

show abstract

Section: Scopementioning

confidence: 70%

Section: Multlcomponent Distillation In a Multi-nonequlllbrlum Stage mentioning

confidence: 99%

A nonequilibrium stage model of multicomponent separation processes. Part I: Model description and method of solution

1985

View full text Add to dashboard Cite

show abstract

“…Therefore, any existing computer program must be drastically changed because it is impossible to apply the Thomas algorithm directly. Instead, a modified Thomas algorithm to solve this problem must be employed (Kubichek et al, 1976;Waggoner and Loud, 1977;Hofeling and Seader, 1978).…”

Section: Algorithm and Calculation Proceduresmentioning

confidence: 99%

Distillation Calculation for Cases of Specified Heat Duty by Modification of Existing Computer Programs

Hirose¹,

Kawase²,

Funada³

1980

Ind. Eng. Chem. Proc. Des. Dev.

View full text Add to dashboard Cite

Some algorithms applied to solve problems of distillation in which heat duty of the reboiler or the condenser is specified, but the reflux ratio is not, are discussed. A useful and flexible algorithm is presented, in which an existing computer program for an operating column analysis is employed without change, and a useful correction loop for the reflux ratio is added externally. This loop is obtained from the relationship between the reflux ratio and an overall energy balance. This algorithm is readily applied because it is independent of the calculation technique used with an existing computer program. Numerical examples indicate the effectiveness and reliability of this algorithm.

show abstract

“…In 1977, Waggoner and Loud [3] developed a rate-based, mass transport model limited to nearly ideal, close-boiling, multicomponent systems. However an energy transport equation was not included (because thermal equilibrium would be closely approximated for close boiling mixture) and the coupling of component mass transfer rates was ignored.…”

Section: Introductionmentioning

confidence: 99%

Rate-Based Model In Bubble-Cup Batch Distillation Column

B. Nakkash,

K. Ibrahim,

S. Ibrahim

2009

ETJ

View full text Add to dashboard Cite

The present work concerned with studying the behavior of batch multicomponent plate distillation tower using Rate-Base model (Non-Equilibrium model) theoretically and experimentally. The experimental work was performed by using a batch distillation column consisting of eight bubble-cup trays. A zeotropic (nonazeotropic) system of Benzene, Toluene, and Ethylbenzene (B-T-EB) has been used. In the experimental work the effect of reflux ratio, heat duty, and initial charge composition on the batch distillation process have been studied. The range of reflux ratio was 1 -4, heat duty was 222 and 336 Watt, and the initial charge composition was 0.2 -0.5 mole fraction of the light component (benzene) and for the heavy component (ethylbenzene).The theoretical work was performed through several steps in order to construct and develop a model based on simultaneous heat and mass transfer between vapor and liquid phases called "Nonequilibrium or Rate-Based model", which is based on MERSHQ equations (Material, Energy balances, Rate of mass and heat transfer, Summation of composition Hydrodynamic equation of pressure drop, and eQuilibrium relationThe performance and validity of the developed non-equilibrium-based model gave a good agreement with the experimental work on Benzene-Toluene-EthylBenzene system.

show abstract

Algorithms for the solution of material balance equations for non-conventional multi-stage operations

Cited by 15 publications

References 8 publications

A nonequilibrium stage model of multicomponent separation processes. Part I: Model description and method of solution

A nonequilibrium stage model of multicomponent separation processes. Part I: Model description and method of solution

Distillation Calculation for Cases of Specified Heat Duty by Modification of Existing Computer Programs

Rate-Based Model In Bubble-Cup Batch Distillation Column

Contact Info

Product

Resources

About