Skip to main content

Kinetics and Transport Phenomena in Multi-phase Reactors

  • Chapter
  • First Online:
The Chemical Reactor from Laboratory to Industrial Plant

Abstract

This chapter is dedicated to the topic of multi-phase reactors, characterized by reactions occurring in a liquid phase in which one or more of the reactants, coming from another gaseous or liquid phase, is dissolved. The catalyst promoting the reaction can be a component of the reacting mixture (e.g., gas–liquid reactors), a solid wetted by liquid phase (gas–liquid–solid reactors), or, more seldom, dissolved in another immiscible liquid (liquid–liquid or gas–liquid–liquid reactors). Modeling of such systems is challenging because chemical, physical, and fluid dynamic factors are all involved, sometimes giving place to peculiar phenomena. Occurrence of a reaction in the liquid phase containing the catalyst determines the occurrence of gradients at the interfaces, followed by a mass-transfer flow across the interface. The main theories presented in this chapter are two-film theory, surface renewal theory, and penetration theory. Examples presented in this chapter include the-oxidation of tetra-hydro-anthraquinol (THEAQH2) and o-cresol alkylation. The Matlab code associated with these examples is available online.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 129.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Akita, K., Yoshida, F.: Gas holdup and volumetric mass transfer coefficient in bubble columns. Effects of liquid properties. Ind. Eng. Chem. Process Des. Dev. 12(1), 76–80 (1973)

    Article  CAS  Google Scholar 

  • Alper, E., Wichtendahl, B., Deckwer, W.D.: Gas absorption mechanism in catalytic slurry reactors. Chem. Eng. Sci. 35(1–2), 217–222 (1980)

    Article  CAS  Google Scholar 

  • Astarita, G.: Mass transfer with chemical reaction. Elsevier Publisher Co. (1967)

    Google Scholar 

  • Berglin, T., Shoon, N.H.: Kinetic and mass transfer aspects of the hydrogenation stage of the anthraquinone process for hydrogen peroxide production. Ind. Eng. Chem. Process Des. Dev. 20(4), 615 (1981)

    Google Scholar 

  • Carrà, S., Morbidelli, M., Santacesaria, E., Buzzi, G.: Synthesis of propylene oxide from propylene chlorohydrins—II: Modeling of the distillation with chemical reaction unit. Chem. Eng. Sci. 34(9), 1133–1140 (1979)

    Google Scholar 

  • Carrà, S., Santacesaria, E., Morbidelli, M., Cavalli, L.: Synthesis of propylene oxide from propylene chlorohydrins—I: kinetic aspects of the process. Chem. Eng. Sci. 34(9), 1123–1132 (1979)

    Google Scholar 

  • Carrà, S., Santacesaria, E., Morbidelli, M. Schwarz, P., Divo, C.: Synthesis of epichlorohydrin by elimination of hydrogen chloride from chlorohydrins. 1. Kinetic aspects of the process. Ind. Eng. Chem. Process Des. Dev. 18(3), 424–427 (1979)

    Google Scholar 

  • Carrà, S., Santacesaria, E., Morbidelli, M., Schwarz, P., Divo, C.: Synthesis of epichlorohydrin by elimination of hydrogen chloride from chlorohydrins. 2. Simulation of the reaction unit. Ind. Eng. Chem. Process Des. Dev. 18(3), 428–433 (1979)

    Google Scholar 

  • Carrà, S., Santacesaria, E.: Engineering aspects of gas-liquid catalytic reactions. Catal. Rev. Sci. Eng. 22(1), 75–140 (1980)

    Article  Google Scholar 

  • Carrà, S., Morbidelli, M.: Chemical Reaction and Reactor Engineering. In: Carberry, Varma, A. (eds.). Marcel Dekker, New York (1987)

    Google Scholar 

  • Charpentier, J.C.: Mass transfer rates in gas-liquid absorbers. In: Drew, T.B. (ed.) Advances in Chemical Engineering, pp. 2–133. Elsevier, New York (1981)

    Google Scholar 

  • Chaudhari, R.V., Ramachandran, P.A.: Three phase slurry reactors. AIChE J. 26(2), 177–201 (1980)

    Article  CAS  Google Scholar 

  • Chilton, T.C., Colburn, A.P.: Mass transfer (absorption) coefficients prediction from data on heat transfer and fluid friction. Ind. Eng. Chem. 26(11), 1183–1187 (1934)

    Google Scholar 

  • Danckwerts, P.V.: Absorption by simultaneous diffusion and chemical reaction. Trans. Faraday Soc. 46, 300–305 (1950)

    Article  CAS  Google Scholar 

  • Danckwerts, P.V.: Gas-Liquid Reactions. Mc Graw-Hill Book Co. (1970)

    Google Scholar 

  • Danckwerts, P. V.: Significance of liquid-film coefficients in gas absorption. Ind. Eng. Chem. 43(6), 1460–1467 (1951a)

    Google Scholar 

  • Danckwerts, P.V.: Absorption by simultaneous diffusion and chemical reaction into particles of various shapes and into falling drops. Trans. Faraday Soc. 47, 1014–1022 (1951b)

    Google Scholar 

  • Dechwer, W.D., Burchart, R., Zoll, G.: Mixing and mass transfer in tall bubble columns. Chem. Eng. Sci. 29(11), 2177–2188 (1974)

    Google Scholar 

  • Di Serio, Di Martino, Santacesaria, E.: Kinetics of fatty acids polyethoxylation. Ind. Eng. Chem. Res. 33(3), 509–514 (1994)

    Google Scholar 

  • Di Serio, M., Tesser, R., Felippone, F., Santacesaria, E.: Ethylene oxide solubility and ethoxylation kinetics in the synthesis of nonionic surfactants. Ind. Eng. Chem. Res. 34(11), 4092–4098 (1995)

    Article  Google Scholar 

  • Dimiccoli, A., Di Serio, M., Santacesaria, E.: Mass transfer and kinetics in spray-tower-loop absorbers and reactors. Ind. Eng. Chem. Res. 39(11), 4082–4093 (2000)

    Google Scholar 

  • Duduković, A., Pjanović, R.: Effect of turbulent schmidt number on mass-transfer rates to falling liquid films. Ind. Eng. Chem. Res. 38(6), 2503–2504 (1999)

    Article  Google Scholar 

  • Gianetto, A., Specchia, V.: Trickle-bed reactors: state of art and perspectives. Chem. Eng. Sci. 47(13–14), 3197–3213 (1992)

    Article  CAS  Google Scholar 

  • Gilliland, E.R., Sherwood, T.K.: Diffusion of vapors into air streams. Ind. Eng. Chem. 26(5), 516–523 (1934)

    Article  CAS  Google Scholar 

  • Higbie, R.: The rate of absorption of a pure gas into a still liquid during short periods of exposure. Trans. Am. Inst. Chem. Eng. 31, 365 (1935)

    CAS  Google Scholar 

  • Joshi, J.B., Sharma, M.M.: Mass transfer characteristics of horizontal sparged contactors. Trans. Inst. Chem. Eng. 54, 42 (1976)

    CAS  Google Scholar 

  • Linek, V., Vacek, V.: Chemical engineering use of catalyzed sulfite oxidation kinetics for the determination of mass transfer characteristics of gas-liquid contactors. Chem. Eng. Sci. 36(11), 1747–1768 (1981)

    Google Scholar 

  • Levenspiel, O., Godfrey, J.H.: A gradientless contactor for experimental study of interphase mass transfer with/without reaction. Chem. Eng. Sci. 29(8), 1723–1730 (1974)

    Article  CAS  Google Scholar 

  • Levenspiel, O.: Chemical Reaction Engineering. John Wiley (1972)

    Google Scholar 

  • Levich, V.G.: Physicochemical Hydrodynamics. Prentice-Hall, Englewood Cliffs, NJ (1962)

    Google Scholar 

  • Lewis, W.K., Whitman, W.G.: Principles of gas absorption. Ind. Eng. Chem. 16(12), 1215–1220 (1924)

    Article  CAS  Google Scholar 

  • Nitta, T., Akimoto, T., Matsui, A., Katoyama, T.: An apparatus for precise measurement of gas solubility and vapor pressure of mixed solvents. J. Chem. Eng. Jpn. 16(5), 352–356 (1983)

    Google Scholar 

  • Perry, R.H., Green, D.W.: Chemical Engineer’s Handbook, 6th edn. Mac Graw Hill Book Co., New York (1984)

    Google Scholar 

  • Ramachandran, P.A.; Chaudhari, R.V.: Three-Phase Catalytic Reactors. Gordon and Breach, New York (1983)

    Google Scholar 

  • Ranade Vivek, V., Chaudhari, R., Gunjal, P.R.: Trickle Bed Reactors: Reactor Engineering and Applications. Elsevier (2011)

    Google Scholar 

  • Sano, Y., Yamaguchi, N., Adachi, T.: Mass transfer coefficients for suspended particles in agitated vessels and bubble columns. J. Chem. Eng. Jpn. 7(4), 255–261 (1974)

    Article  CAS  Google Scholar 

  • Santacesaria, E., Di Serio, M., Garaffa, R., Addino, G.: Kinetics and mechanisms of fatty alcohol polyethoxylation. 1. The reaction catalyzed by potassium hydroxide. Ind. Eng. Chem. Res. 31(11), 2413–2418 (1992)

    Google Scholar 

  • Santacesaria, E., Di Serio, M., Tesser, R., Cammarota, F.: Comparison between the performances of a well-stirred slurry reactor and a spray loop reactor for the alkylation of p-cresol with isobutene. Ind. Eng. Chem. Res. 44(25), 9473–9481 (2005)

    Google Scholar 

  • Santacesaria, E., Ferro, R., Ricci, S., Carrà, S.: Kinetic aspects in the oxidation of hydrogenated 2-ethyltetrahydroanthraquinone. Ind. Eng. Chem. Res. 26(1), 155–159 (1987)

    Google Scholar 

  • Santacesaria, E., Silvani, R., Wilkinson, P., Carrà, S.; Alkylation of p-cresol with isobutene catalyzed by cation-exchange resins: a kinetic study. Ind. Eng. Chem. Res. 27(4), 541–548 (1988)

    Google Scholar 

  • Santacesaria, E., Wilkinson, P., Babini, P., Carrà, S.: Hydrogenation of 2-ethyl-tetrahydro-anthraquinone in the presence of palladium catalyst. Ind. Eng. Chem. Res. 27(5), 780–784 (1988)

    Article  CAS  Google Scholar 

  • Santacesaria, E., Di Serio, M., Tesser, R.: Gas–liquid and gas–liquid–solid reactions performed in spray tower loop reactors. Ind. Eng. Chem Res. 44(25), 9461–9472 (2005)

    Article  CAS  Google Scholar 

  • Satterfield, C.N., Pelossof, A.A., Sherwood, T.K.: Mass transfer limitations in a trickle bed reactor. AIChE J. 15, 226 (1969)

    Google Scholar 

  • Satterfield, C.N., Sherwood, T.K.: The Role of Diffusion in Catalysis. Addison Wesley Pu. Co. Inc. (1963)

    Google Scholar 

  • Srinivasan, V., Aiken. R.C.: Mass transfer to droplets formed by the controlled breakup of a cylindrical jet—physical absorption. Chem. Eng. Sci. 43(12), 3141–3150 (1988)

    Google Scholar 

  • van Krevelen, D.W., Hoftijzer, P.J.: Kinetics of gas-liquid reactions part I. General theory. Recueil des Travaux Chimiques des Pays-Bas. 67(7), 563–586 (1948)

    Google Scholar 

  • Westerterp, K.R., Wammes, W.J.A.: Three-phase trickle-bed reactors. In: Ullmann Encyclopedia of industrial Chemistry, pp. 309-320. VCH Publishers: Weinheim (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Elio Santacesaria .

7.1 Electronic Supplementary Material

Below is the link to the electronic supplementary material.

Supplementary material 1 (DOCX 38 kb)

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Santacesaria, E., Tesser, R. (2018). Kinetics and Transport Phenomena in Multi-phase Reactors. In: The Chemical Reactor from Laboratory to Industrial Plant. Springer, Cham. https://doi.org/10.1007/978-3-319-97439-2_7

Download citation

Publish with us

Policies and ethics