Skip to main content

A nonlinear integral equation relating distillation processes

  • Conference paper
  • First Online:
Symposium on Ordinary Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 312))

  • 292 Accesses

Abstract

Examples of the calculation are shown in the figures for data from Reference 1 on samples of gasolines and oil mixtures. The differential distillation curves which we calculate do not completely match the ASTM results. Possibly this is because some reflux action occurs in the ASTM procedure.

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. L. Geddes, "Computation of Petroleum Fractionation," Ind. and Eng. Chem. Vol. 33, No. 6, June 1941, 795–801.

    Article  Google Scholar 

  2. W. C. Edmister and K. I. Okamoto, "Applied Hydrocarbon Thermodynamics, Part 12: Equilibrium Flash Vaporization Calculation for Petroleum Fractions," Petroleum Refiner, Vol. 38, No. 8, August 1959, 117–129.

    Google Scholar 

  3. W. C. Edmister, Applied Hydrocarbon Thermodynamics, Gulf Publishing Co., Houston, 1961.

    Google Scholar 

  4. M. Van Winkle, "Easy Way to Figure EFV and TBP," Hydrocarbon Processing and Petroleum Refiner, Vol. 43, No. 4, April 1964, 139–142.

    Google Scholar 

  5. M. Van Winkle, Distillation, McGraw-Hill, 1967.

    Google Scholar 

  6. W. L. Nelson, Petroleum Refining Engineering, Fourth Edition, McGraw-New York, 1958, 111–120.

    Google Scholar 

  7. E. J. Hoffman, "Relations between true boiling point and ASTM distillation curves," Chem. Eng. Sci., 1969, Vol. 24, 113–117.

    Article  Google Scholar 

  8. E. J. Hoffman, "Differential vaporization curves for complex mixtures," Chem. Eng. Sci., 1969, Vol. 24, 1736–38.

    Article  Google Scholar 

  9. E. J. Hoffman, Azeotropic and Extractive Distillation, Interscience Pub. 1964, 75–89.

    Google Scholar 

  10. S. S. Gandbhir and P. S. Virk, "Rapid interconversion between ASTM and TBP distillations," Oil and Gas J., January 11, 1971, 53–55.

    Google Scholar 

  11. J. B. Maxwell, Data Book on Hydrocarbons, D. van Nostrand, 1950, pp. 222–229.

    Google Scholar 

  12. D. L. Taylor and W. C. Edmister, "Solutions for Distillation Processes Treating Petroleum Fractions," AIChE Journal Vol. 17, No. 6, Nov. 1971, 1324–1329.

    Article  Google Scholar 

  13. O. H. Hariu and R. C. Sage, "Crude Split Figured by Computer," Hydrocarbon Proc., April 1969, 143–148.

    Google Scholar 

  14. J. D. Baker and E. R. Rang, "Modeling processes with integral operators: application to distillation correlation," Proceedings of the 1972 Summer Simulation Conference, June 13–16, San Diego, Calif.

    Google Scholar 

  15. J. B. Maxwell and L. S. Bonnell, Derivation and Precision of a New Vapor Pressure Correlation for Petroleum Hydrocarbons," Ind. Eng. Chem. Vol. 49, No. 7 (1959), 1187–1196.

    Article  Google Scholar 

  16. R. A. Williams and E. J. Henley, "A Comprehensive Vapor-Liquid Equilibrium Computer Program — KVALUE," Chem. Eng. J., Vol. 1, 1970, 145–151.

    Article  Google Scholar 

  17. F. O. Mixon, B. Gumowski and B. H. Carpenter, "Computation of Vapor-Liquid Equilibrium Data from Solution Vapor Pressure Measurements," Inc. and Eng. Chem. Fundamentals, Vol. 4, No. 4, Nov. 1965, 455–459.

    Article  Google Scholar 

Download references

Authors

Editor information

William A. Harris Jr. Yasutaka Sibuya

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Rang, E.R. (1973). A nonlinear integral equation relating distillation processes. In: Harris, W.A., Sibuya, Y. (eds) Symposium on Ordinary Differential Equations. Lecture Notes in Mathematics, vol 312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060053

Download citation

  • DOI: https://doi.org/10.1007/BFb0060053

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06146-5

  • Online ISBN: 978-3-540-38353-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics