Skip to main content

A Mathematical Description of the Critical Heat Flux as a Non-Linear Dynamic Instability

  • Chapter
Instabilities in Multiphase Flows

Abstract

The thermofluid dynamics of pool boiling heat transfer was theoretically studied. A two-phase flow integral model was formulated for the local boiling field adjacent to the heated wall. A set of three non-linear differential equations model the dynamics of the localized void fraction, bubble number density and vapor velocity. The boiling crisis at the critical heat flux is described as a dynamic transition caused by the competition of bubbles coalescence and breakup mechanisms. An analysis of a case of pool boiling in water is presented, showing the consistency of the formulation. The model has potential applications to thermal management of electronic microchips and devices for space environments.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Delhaye, J. M., 1968, “Equations fondamentales des ecoulements diphasiques”, Partes 1 et 2, CEA-R-3429, Centre d’Etudes Nucleaires de Grenoble, France

    Google Scholar 

  • Drew, D., Cheng, L. and R. T. Lahey Jr., 1979, “The analysis of virtual mass effects in two-phase flow”, Int. J. Multiphase Flow, 5:233

    Article  Google Scholar 

  • Hsu, Y. Y. and Graham, R. W., 1976, “Transport Processes in Boiling and Two-Phase System”, McGraw Hill, New York

    Google Scholar 

  • Kataoka, I. and Serizawa, A., 1990, “Interfacial area concentration in bubbly flows, Noc. Enq,. Des., 120:163

    Article  CAS  Google Scholar 

  • Kocamustafaogullari, G. and Ishii, M., 1983, “Interfacial area and nucleation site density in boiling systems”, Int. J. Heat Mass Transfer, 26:1377

    Article  Google Scholar 

  • Kutateladze S., 1948, “On the transition to film boiling under natural convection”, Kotlaturbastroeine, 3:10

    Google Scholar 

  • Liaw, S. P. and Dhir, V. K., 1989, “Void fraction measurements during saturated pool boiling of water on partially wetted vertical surfaces”, J. Heat Transfer, 111, 731.

    Article  CAS  Google Scholar 

  • Lienhard, J, 1988, “Things we don’t know about boiling heat transfer”, Int. Gamm. Heat. Mass Trans., 15:401.

    Article  CAS  Google Scholar 

  • Navarro-Valenti, S., Clausse, A., Drew, D. and R. T. Lahey, 1991, “A contribution to the mathematical modeling of bubbly-slug flow regime transition”, Chem. Enq. Comm., 102:69

    Article  CAS  Google Scholar 

  • Prince, M and Blanch, H., 1990, “Bubble coalescence and breakup in air-sparged bubble columns, AICHE J., 36:1485

    Article  CAS  Google Scholar 

  • Taylor, G. I., 1934, “The formation of emulsion in definable field of flow”, Proceeding of the Royal Society (London), 146:501

    Article  CAS  Google Scholar 

  • Wallis, G., 1969, “One-Dimensional Two-Phase Flow”, McGraw Hill

    Google Scholar 

  • Zuber, N., 1958, “On the stability of boiling heat transfer”, Trans. AIME, 80:711

    CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

Carrica, P., Clausse, A. (1993). A Mathematical Description of the Critical Heat Flux as a Non-Linear Dynamic Instability. In: Gouesbet, G., Berlemont, A. (eds) Instabilities in Multiphase Flows. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1594-8_8

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-1594-8_8

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1596-2

  • Online ISBN: 978-1-4899-1594-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics