Skip to main content

Application of Boundary Collocation Method in Fluid Mechanics to Stokes Flow Problems

  • Conference paper
  • First Online:
Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

Included in the following conference series:

Abstract

The aim of this work is to present a short review of application of the boundary collocation technique to some problems in fluid mechanics. The steps used to find interaction between a wall and a sphere moving axisymetrically towards the flat wall in micropolar fluid are outlining to illustrate workability of the method.This problem occurs in modeling flow problems in microdevices as well as in human joins.

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 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Dagan, Z. S., Weinbaum, R., Pfeffer, J.: Fluid Mech. 117 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  2. Eringen, A. C.: J. Math. Mech. 16, 1 (1966) 1–16

    MathSciNet  Google Scholar 

  3. Ganatos, P., Pfeffer R., Weinbaum S. J.: Fluid Mech. 84 1 (1978) 79–111

    Article  MATH  MathSciNet  Google Scholar 

  4. Ganatos, P., Pfeffer R., Weinbaum, S. J.: Fluid Mech. 99 (1980) 755–793

    Article  MATH  Google Scholar 

  5. Ganatos, R., Weinbaum S. P., Pfeffer, J.: Fluid Mech. 99 (1980) 739–753

    Article  MATH  Google Scholar 

  6. Gluckman, M. J., Pfeffer, R., Weinbaum, S. J.,: Fluid Mech. 50 (1971) 739–753

    Article  MathSciNet  Google Scholar 

  7. Gluckman, M. J., Weinbaum, S., Pfeffer, R. J.: Fluid Mech. 55 (1972) 677–703

    Article  MATH  Google Scholar 

  8. Happel, H., Brenner, H.: Low Reynolds Number Hydrodynamics. Prentice Hall (1965)

    Google Scholar 

  9. Hasspnje, Q., Ganatos, P., Pfeffer, R. J.: Fluid Mech. 197 (1988) 1–37

    Article  Google Scholar 

  10. Kolodziej, J.: SM Archives. 12/4 (1987) 187–231

    MATH  Google Scholar 

  11. Kucaba-Pietal, A.: Arch. Mech. 38 (1986) 647–663

    MATH  Google Scholar 

  12. Kucaba-Pietal, A.: Bull. of Polish Academy of Sciences. Tech. Sci. 36 (1988) 2–9, 501-511

    Google Scholar 

  13. Kucaba-Pietal, A.: Engn. Trans. 31, 1, (1983) 151–161

    MATH  Google Scholar 

  14. Kucaba-Pietal, A. J.: Theor. Appl. Mech. 3, 37, (1999) 593–606

    Google Scholar 

  15. Kucaba-Pietal, A. J.: Theor. Appl. Mech. 4, 35, (1997) 813–827

    Google Scholar 

  16. Lamb, H.: Hydrodynamics. (1945)

    Google Scholar 

  17. Leichtberg, S., Weinbaum, S., Pfeffer, R., Gluckman, M. J.: Phil Trans R. Soc., London, A282 (1976) 585–613

    Google Scholar 

  18. Liao, W. H., Kruger, D. J.: Fluid Mech. 96 (1980) 223–247

    Article  MATH  Google Scholar 

  19. Ramkisson, H., Majumdar R.: Physics of Fluids. 19,1 (1976) 16–21

    Article  MathSciNet  Google Scholar 

  20. Skalak, R., Chen, T. C.: Appl. Sci. Res. 22 (1970) 403–425

    MATH  Google Scholar 

  21. Weinbaum, S., Ganatos, P., Yan, Z.: Ann. Rev. Fluid Mech.,22, (1990) 275–316

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kucaba-Pietal, A. (2001). Application of Boundary Collocation Method in Fluid Mechanics to Stokes Flow Problems. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_58

Download citation

  • DOI: https://doi.org/10.1007/3-540-45262-1_58

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics