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Numerical Calculation of Separation Processes

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Case Studies in Industrial Mathematics

Part of the book series: European Consortium for Mathematics in Industry ((XECMI,volume 2))

Abstract

Distillation is one of the most common separation processes carried out in industry. Separation by distillation is based on the different volatilities of the components of a mixture. If a liquid mixture of two or more components is partially vaporized or if a vapor mixture is partially condensed, then, in either case, the vapor product is richer in the component of highest volatility while the liquid product is richer in the component of lowest volatility. A one-stage vaporisation or condensation process gives products of a certain limited purity. In order to increase product purity, a sequence of successive vaporizations of the liquid products, resp. a sequence of successive condensations of the vapor products, are used. An economic way for carrying out such a multistage distillation process is a distillation column, see Fig. 1. The column consists of a number of plates, on each of which vapor and liquid are in equilibrium with each other. The mixture enters the column at some plate (feed). Under the force of gravity the liquid flows downwards. A heater, called the reboiler, at the bottom of the column vaporizes a portion of the liquid. The resulting vapor flows upwards. A condensor at the top of the column liquifies a portion of vapor which is returned to the column (reflux). The remaining portion of the overhead vapor is called the distillate.

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References

  1. Fredenslund, A.; Gmehling, J.; Rasmussen, P.: Vapor-Liquid Equilibrium Using UNIFAC. Amsterdam: Elsevier 1977

    Google Scholar 

  2. Hackl, J.; Wacker, Hj.; Zulehner, W.: An efficient step size control for continuation methods. BIT 2o (198o) 475-485

    Google Scholar 

  3. King, C.J.: Separation Processes. 2nd ed. New York: McGraw-Hill 198o

    Google Scholar 

  4. Kubieek, M.; Hlavaeek, V.; Prochaska, F.: Global modular Newton-Raphson technique for simulation of an interconnected plant applied to complex rectification columns. Chem.Engng. Sci 31 (1976) 277 - 284

    Google Scholar 

  5. Pho, T.K.; Lapidus, L.: An optimum tearing algorithm for recycle systems. AiChE J. 19 (1973) 117o - 1181.

    Google Scholar 

  6. Schubert, L.K.: Modification of a quasi-Newton method for nonlinear equations with a sparse Jacobian. Math. Comp. 24 (197o) 27-3o

    Google Scholar 

  7. Tiernan, J.C.: An efficient search algorithm to find the elementary circuits of a graph. Comm.ACM 13 (197o) 722-726

    Google Scholar 

  8. Wacker, Hj. (ed.): Continuation Methods. New York. Academic Press 1978

    Google Scholar 

  9. Westman, K.R.; Lucia, A.; Miller, D.C.: Flash and distillation calculations by a Newton-like method. Comp. Chem.Engng. 8 (1984) 219 - 228

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© 1988 Springer Fachmedien Wiesbaden

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Auzinger, D., Peer, L., Wacker, H.j., Zulehner, W. (1988). Numerical Calculation of Separation Processes. In: Engl, H.W., Wacker, H., Zulehner, W. (eds) Case Studies in Industrial Mathematics. European Consortium for Mathematics in Industry, vol 2. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-12063-6_6

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  • DOI: https://doi.org/10.1007/978-3-663-12063-6_6

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-663-12064-3

  • Online ISBN: 978-3-663-12063-6

  • eBook Packages: Springer Book Archive

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