Skip to main content
SpringerLink
Log in
Book cover

Convective Heat Transfer From Rotating Disks Subjected To Streams Of Air pp 5–16Cite as

Basic Principles

  • Chapter

  • 570 Accesses

Part of the book series: SpringerBriefs in Applied Sciences and Technology ((BRIEFSTHERMAL))

Abstract

This chapter briefly reviews some basic principles that are useful when studying flow and heat transfer in rotating disk systems. Further details about these principles can be found in the literature, and it is therefore not necessary to present all of their implications here. The flow over an inclined disk with finite thickness is in general three-dimensional and characterized by flow separation. The transitions between different flow and heat transfer regimes can be described in terms of the critical point theory proposed for the first time in the early 1950s. This approach has been developed further over the last decades, and its connections to bifurcation theory became apparent. Its great potential for analyzing rotating disk systems has been recently realized, and its basic principles are given here.

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   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

References

  1. John JE, Keith TG (2006) Gas dynamics, 3rd edn. Pearson, Upper Saddle River

    Google Scholar 

  2. Lienhard JH, Lienhard JH (2010) A heat transfer textbook. Dover, New York

    Google Scholar 

  3. Shevchuk IV (2009) Convective heat and mass transfer in rotating disk systems. Springer, Berlin

    Book  MATH  Google Scholar 

  4. Schlichting H (1968) Boundary-layer theory. McGraw-Hill, New York

    Google Scholar 

  5. Moore FK (1958) On the separation of the unsteady laminar boundary layer. In: Görtler H (ed) Grenzschichtforschung. Springer, Berlin, pp 296–311

    Google Scholar 

  6. Rott N (1956) Unsteady viscous flow in the vicinity of a stagnation point. Q J Appl Math 13:444–451

    MathSciNet  MATH  Google Scholar 

  7. Sears WR (1956) Some recent developments in airfoil theory. J Royal Aero Soc 23:490–499

    MathSciNet  MATH  Google Scholar 

  8. Owen JM, Rogers RH (1989) Flow and heat transfer in rotating disc systems, vol 1, Rotor-stator systems. Research Studies, Taunton

    Google Scholar 

  9. Owen JM, Rogers RH (1989) Flow and heat transfer in rotating disc systems, vol 2, Rotating cavities. Research Studies, Taunton

    Google Scholar 

  10. von Karman T (1921) Über laminare und turbulente Reibung. ZAMM 1:233–252

    Article  MATH  Google Scholar 

  11. Zandbergen PJ, Dijkstra D (1987) Von Karman swirling flows. Annu Rev Fluid Mech 19:465–491

    Article  MathSciNet  Google Scholar 

  12. Taylor ES (1974) Dimensional analysis for engineers. Clarendon, Oxford

    Google Scholar 

  13. Tobak M, Peake DJ (1982) Topology of three-dimensional separated flows. Annu Rev Fluid Mech 14:61–85

    Article  MathSciNet  Google Scholar 

  14. Perry AE, Chong MS (1987) A description of eddying motions and flow patterns using critical-point concepts. Annu Rev Fluid Mech 19:125–155

    Article  Google Scholar 

  15. Delery JM (2001) Robert Legendre and Henri Werle: towards the elucidation of three-dimensional separation. Annu Rev Fluid Mech 33:129–154

    Article  Google Scholar 

  16. Legendre R (1956) Separation de l’ecoulement laminaire tridimensionnel. Rech Aero 54:3–8 (in French)

    Google Scholar 

  17. Ligthill MJ (1963) Attachment and separation in three-dimensional flow. In: Rosenhead L (ed) Laminar boundary layers (section II, 2.6). Oxford University Press, New York

    Google Scholar 

  18. Andronov AA, Leontovich EA, Gordon II, Maier AG (1973) Qualitative theory of second-order dynamic systems. Wiley, New York

    MATH  Google Scholar 

  19. Helcig C, aus der Wiesche S, Shevchuk IV (2014) Internal symmetries, fundamental invariants, and convective heat transfer from a rotating disk. In: Proceedings 15th international heat transfer conference (Begell House Digital Library), Kyoto (paper IHTC15-22558)

    Google Scholar 

  20. aus der Wiesche S (2004) LES study of heat transfer augmentation and wake instabilities of a rotating disk in a planar stream of air. Heat Mass Transf 40:271–284

    Article  Google Scholar 

  21. aus der Wiesche S (2002) Heat transfer and thermal behaviour of a rotating disk passed by a planar air stream. Forschung Ing 67:161–174

    Article  Google Scholar 

  22. aus der Wiesche S (2007) Heat transfer from a rotating disk in a parallel air crossflow. Int J Therm Sci 46:745–754

    Article  Google Scholar 

  23. Latour B, Bouvier P, Harmand S (2011) Convective heat transfer on a rotating disk with transverse air crossflow. ASME J Heat Transfer. 133, paper-ID 021702 (10 p)

    Google Scholar 

  24. Helcig C, aus der Wiesche S (2013) The effect of the incidence angle on the flow over a rotating disk subjected to forced air streams. In: Proceedings ASME fluids engineering summer meeting, Incline Village, Nevada (paper FEDSM2013-16360)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Muenster University of Applied Sciences, Steinfurt, Germany

    Stefan aus der Wiesche & Christian Helcig

Authors
  1. Stefan aus der Wiesche
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Christian Helcig
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2016 The Author(s)

About this chapter

Cite this chapter

aus der Wiesche, S., Helcig, C. (2016). Basic Principles. In: Convective Heat Transfer From Rotating Disks Subjected To Streams Of Air. SpringerBriefs in Applied Sciences and Technology(). Springer, Cham. https://doi.org/10.1007/978-3-319-20167-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-20167-2_2

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20166-5

  • Online ISBN: 978-3-319-20167-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation