Skip to main content
SpringerLink
Log in

Mathematical modeling and analysis of the molar concentrations of ethanol, acetaldehyde and ethyl acetate inside the catalyst particle

  • Published:
Kinetics and Catalysis Aims and scope Submit manuscript

Abstract

Mathematical modeling of the molar concentrations profile of ethanol, acetaldehyde and ethyl acetate inside the catalyst particle is presented. This kinetic mechanism is based on the system of non-linear reaction diffusion equations. Modified Adomian decomposition method is employed to derive the general analytical expressions of molar concentrations of ethanol, acetaldehyde and ethyl acetate for all possible values of the parameters Φ i , γ i and α i (i = 1, 2, 3). Analytical results are compared with the numerical results, a satisfactory agreement is noted. Valid and invalid region of the solution for all concentrations are provided. These analytical results are useful to understand the behavior of the system.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Heinsohn, R.J. and Kabel, R.L., Sources and Control of Air Pollution, Upper Saddle River, N.J.: Prentice Hall, 1999.

    Google Scholar 

  2. Larsson, P.O. and Andersson, A., J. Catal., 1998, vol. 179, p. 72.

    Article  CAS  Google Scholar 

  3. Khan, F.I. and Ghoshal, A.K., Process Ind., 2000, vol. 13, p. 527.

    Google Scholar 

  4. Morales, M.R., Barbero, B.P., and Cadus, L.E., Fuel, 2008, vol. 87, p. 1177.

    Article  CAS  Google Scholar 

  5. Papaefthimiou, P., Loannides, T., and Verykios, X.E., Appl. Catal. B, 1988, vol. 15, nos. 1–2, p. 75.

    Google Scholar 

  6. Okumura, K., Kobayashi, T., Tanaka, H., and Niwa, M., Appl. Catal. B, 2003, vol. 44, p. 325.

    Article  CAS  Google Scholar 

  7. Moro-oka, Y., Morikawa, Y., and Ozaki, A., J. Catal., 1967, vol. 7, p. 23.

    Article  CAS  Google Scholar 

  8. Campesi, M.A., Mariani, N.J., Martinez, O.M., and Barreto, G.F., Tecnol. Desarrollo, 2007, vol. 2, no. 4, p. 111.

    Google Scholar 

  9. Cho, S.J., Ryoo, M.W., Song, K.S., Lee, J.H., and Kang, S.K., Korean J. Chem. Eng., 1999, vol. 16, p. 478.

    Article  CAS  Google Scholar 

  10. Campesi, M.A., Mariani, N.J., Bressa, S.P., Pramparo, M.C., Barbero, B.P., Cadus, L.E., Barreto, G.F., and Martinez, O.M., Fuel Process. Technol., 2012, vol. 103, p. 84.

    Article  CAS  Google Scholar 

  11. Rajesh, H. and Ozkan, U.S., Ind. Eng. Chem. Res., 1993, vol. 32, p. 1622.

    Article  CAS  Google Scholar 

  12. Larrsson, P.O. and Andersson, A., Appl. Catal. B, 2000, vol. 24, p. 175.

    Article  Google Scholar 

  13. Delimaris, D. and Loannides, T., Appl. Catal. B, 2008, vol. 84, p. 303.

    Article  CAS  Google Scholar 

  14. Adomian, G., J. Comput. Appl. Math., 1984, vol. 11, p. 225.

    Article  Google Scholar 

  15. Ismail, H.N.A., Raslan, K.R., Salem, G.S.E., and Abd Rabboh, A.A., Appl. Math. Comput., 2005, vol. 167, p. 849.

    Google Scholar 

  16. Jang, B., Appl. Math. Comput., 2007, vol. 186, p. 969.

    Google Scholar 

  17. Wazwaz, A.M., Appl. Math. Comput., 1999, vol. 102, p. 77.

    Google Scholar 

  18. Abbaoui, K. and Cherruault, Y., Comput. Math. Appl., 1995, vol. 29, p. 103.

    Article  Google Scholar 

  19. Skeel, R.D. and Berzins, M., SIAM J. Sci. Stat. Comput., 1990, vol. 11, p. 1.

    Article  Google Scholar 

  20. MATLAB 6.1, Math Works Inc., Natick, Mass., 2000. www.scilabenterprises.com

Download references

Author information

Authors and Affiliations

  1. Mangayarkarasi College Engineering, Paravai, Tamil Nadu, India

    V. Meena

  2. Department of Mathematics, The Madura College, Tamil Nadu, India

    T. Praveen

  3. Department of Mathematics, Sethu Institute of Technology, Kariapatti, Tamil Nadu, India

    L. Rajendran

Authors
  1. V. Meena
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Praveen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. L. Rajendran
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to T. Praveen.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Meena, V., Praveen, T. & Rajendran, L. Mathematical modeling and analysis of the molar concentrations of ethanol, acetaldehyde and ethyl acetate inside the catalyst particle. Kinet Catal 57, 125–134 (2016). https://doi.org/10.1134/S0023158416010092

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0023158416010092

Keywords

Search

Navigation