Skip to main content
SpringerLink
Log in
Book cover

Chemical Reactor Modeling pp 1125–1138Cite as

Mathematical Theorems

  • Chapter

  • 4859 Accesses

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   219.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aris R (1962) Vectors, Tensors, and the Basic Equations of Fluid Mechanics. Dover, Inc., New York

    MATH  Google Scholar 

  2. Bird RB, Stewart WE, Lightfoot EN (1960) Transport phenomena. John Wiley & Sons, New York

    Google Scholar 

  3. Bird RB, Stewart WE, Lightfoot EN (2002) Transport phenomena. Second Edition, John Wiley & Sons, New York

    Google Scholar 

  4. Bourè JA, Delhaye JM (1982) General Equations and Two-Phase Flow Modeling. In: Hetsroni G (ed) Handbook of Multiphase Systems, Section 1.2, pp. (1-36) - (1-95), McGraw-Hill, New York

    Google Scholar 

  5. Brenner H (1979) A Micromechanical Derivation of the Differential Equation of Interfacial Statics. Journal of Colloid and Interface Science 68(3):422-439

    Article  MathSciNet  Google Scholar 

  6. Collado FJ (2007) Reynolds transport theorem for two-phase flow. Appl Phys Lett 90, 024101

    Article  Google Scholar 

  7. Delhaye JM (1974) Jump Conditions and Entropy Sources in Two-Phase Systems: Local Instant Formulation. Int J Multiphase Flow 1:395-409

    Article  MATH  Google Scholar 

  8. Delhaye JM, Achard JL (1977) On the averaging operators introduced in two-phase flow. In: Banerjee S, Weaver JR (eds) Transient Two-phase Flow. Proc. CSNI Specialists Meeting, Toronto, 3.-4. august

    Google Scholar 

  9. Delhaye JM (1981) Basic Equations for Two-Phase Flow Modeling. In: Bergles AE et al (eds) Two-Phase Flow and Heat Transfer in the Power and Process Industries. Hempsherer Publishing, Washington

    Google Scholar 

  10. Donea J, Huerta A (2003) Finite Element Methods for Flow Problems. John Wiley & Sons, Chichester

    Google Scholar 

  11. Donea J, Huerta A, Ponthot J-P, Rodríguez-Ferran A (2004) Arbitrary Lagrangian-Eulerian Methods. In: Stein E, de Borst R, Hughes TJR (eds) Encyclopedia of Computational Mechanics, Volume 1: Fundamentals, Chapter 14, pp 1-25, John Wiley & Sons Ltd ISBN: 0-470-84699-2

    Google Scholar 

  12. Edwards CH Jr, Penny DE (1982) Calculus and Analytic Geometry. Prentice-Hall Inc, Englewood Cliffs, New Jersey

    Google Scholar 

  13. Edwards DA, Brenner H, Wasan DT (1991) Interfacial Transport Processes and Rheology. Butterworth-Heinemann, Boston

    Google Scholar 

  14. Enwald H, Peirano E, Almstedt AE (1996) Eulerian Two-Phase Flow Theory Applied to Fluidization. Int J Multiphase Flow 22:21-66, Suppl.

    Article  MATH  Google Scholar 

  15. Fan L-S, Zhu C (1998) Principles of Gas-Solid Flows. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  16. Greenberg MD (1978) Foundations of Applied Mathematics. Prentice-Hall Inc, Englewood Cliffs

    MATH  Google Scholar 

  17. Kuiken GDC (1995a) Thermodynamics of Irreversible Processes. Applications to Diffusion and Rheology. John Wiley & Sons, Chichester

    Google Scholar 

  18. Kundu PK (1990) Fluid Mechanics. Academic Press Inc, San Diego

    MATH  Google Scholar 

  19. Kuo KK (1986) Principles of Combustion. John Wiley & Sons, New York

    Google Scholar 

  20. Malvern LE (1969) Introduction to the Mechanics of a Continuous Medium. Prentice-Hall, Inc, Englewood Cliffs

    Google Scholar 

  21. Middleman S (1998) An Introduction to Fluid Dynamics: Principles of Analysis and Design. John Wiley & Sons, Inc., New York

    Google Scholar 

  22. Miller CA, Neogi P (1985) Interfacial Phenomena: Equilibrium and Dynamic Effects. Marcel Dekker, Inc., New York and Basel

    Google Scholar 

  23. Munson BR, Young DF, Okiishi TH (2002) Fundamentals of Fluid Mechanics. John Wiley & Sons, New York, Fourth Edition

    Google Scholar 

  24. Ni J, Beckermann C (1990) A Two-Phase Model for Mass, Momentum, Heat, and Species Transport during Solidification. In: Charmchi M, Chyu MK, Joshi Y, Walsh SM (eds) Transport Phenomena in Material Processing, New York. ASME HTD-VOL. 132:45-56

    Google Scholar 

  25. Nobari MR, Jan Y-J, Tryggvason G (1996) Head-on collision of droplets - A numerical investigation. Phys Fluids 8(1):29-42

    Article  MATH  Google Scholar 

  26. Prosperetti A, Jones AV (1984) Pressure forces in dispersed two-phase flow. Int Journal of Multiphase Flow 10(4):425-440

    Article  MATH  Google Scholar 

  27. Reynolds O (1903) Papers on mechanical and physical subjects-the sub-mechanics of the Universe, Collected Work, Volume III, Cambridge University Press

    Google Scholar 

  28. Rosner DE (1986) Transport Processes in Chemically Reacting Flow Systems. Butterworths, Boston

    Google Scholar 

  29. Sandler SI (1999) Chemical and Engineering Thermodynamics. Third Edition, John Wiley & Sons, Inc., New York

    Google Scholar 

  30. Slattery JC (1972) Momentum, Energy, and Mass Transfer in Continua. McGraw-Hill Kogakusha LTD, Tokyo, Second Edition

    Google Scholar 

  31. Slattery JC (1990) Interfacial Transport Phenomena. Springer-Verlag, New York

    Google Scholar 

  32. Slattery JC (1999) Advanced Transport Phenomena. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  33. Stull RB (1988) An Introduction to Boundary Layer Meteorology. Kluwer Academic Publishers, Dordrecht

    MATH  Google Scholar 

  34. Thompson PA (1972) Compressible-fluid dynamics. McGraw-Hill, Inc. New York

    MATH  Google Scholar 

  35. Truesdell C, Toupin RA (1960) The Classical Field Theories. In: Flügge S Handbuch der Physik Vol III/1, Principles of Classical Mechanics and Field Theory, Springer-Verlag, Berlin

    Google Scholar 

  36. Whitaker S (1968) Introduction to Fluid Mechanics. Prentice-Hall, Inc., Englewood Cliffs

    Google Scholar 

  37. White FM (1999) Fluid Mechanics. McGraw-Hill, Boston, Fourth Edition

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Chem. Engineering, Georgia TechNorwegian Univ. of Science & Technology, N-7491 Trondheim, Norway

    Hugo A. Jakobsen (Prof.Dr.)

Authors
  1. Hugo A. Jakobsen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Jakobsen, H.A. (2009). Mathematical Theorems. In: Chemical Reactor Modeling. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68622-4_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-68622-4_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25197-2

  • Online ISBN: 978-3-540-68622-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation