Skip to main content

Flow in a curved pipe with moving boundaries

  • Unsteady Flows
  • Conference paper
  • First Online:
Fifteenth International Conference on Numerical Methods in Fluid Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 490))

  • 125 Accesses

Abstract

The unsteady three-dimensional incompressible Navier-Stokes Equations in integral formulation are studied for flow through a curved pipe with moving boundaries. Two different motions, a sinusoidal oscillation of the boundary and a travelling wave through the curved pipe, are investigated. The numerical algorithm utilized is a finite volume, projection algorithm where the pressure correction is obtained from the solution of an auxiliary potential function. Flow variables such as volume flow rates, velocity vector fields, velocity profiles and pressure fields are analyzed.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.A. ANDERSON, J.C. TANNEHILL, R.H. PLETCHER, Computational Fluid Mechanics and Heat Transfer, Hemisphere Publishing Corporation, New York, 1984.

    MATH  Google Scholar 

  2. G.K. BATCHELOR, An Introduction to Fluid Dynamics, Cambridge University Press, 1989.

    Google Scholar 

  3. S.A. BERGER, Flow in Large Blood Vessels, Contemporary Mathematics, vol. 141, pp. 4790–518, 1993.

    Google Scholar 

  4. R.M. BERNE and R. RUBIO, Coronary Circulation In: Handbook of Physiology, v1, pp. 873–952, Bethesda, Maryland, 1979.

    Google Scholar 

  5. J. DOUGLAS, Jr., and J.E. GUNN, A General Formulation of Alternating Direction Methods, Numerische Mathematik vol. 6, pp. 428–453.

    Google Scholar 

  6. H.A. DWYER, Numerical Fluid Mechanics and Heat Transfer, Lecture notes, UC Davis, Spring 1993.

    Google Scholar 

  7. K.N. GHIA, W.L. HANKEY, Jr. and J.K. HODGE, Use of Primitive Variables in the Solution of Incompressible Navier-Stokes Equations, AIAA J., vol. 17, pp. 205–218, 1979.

    Article  Google Scholar 

  8. K.L. GOULD, Coronary Artery stenosis, Elsevier, New York, 1991.

    Google Scholar 

  9. L.D. JOU and S.A. BERGER, Numerical Simulation of Flow in the Carotid Bifurcation, Sixth International symposium on Computational Fluid Dynamics, pp 544–551, 1996

    Google Scholar 

  10. K.K. KENNETH, Principles of Combustion, John Wiley & Sons, 1986

    Google Scholar 

  11. H. NIRSCHL, H.A. DWYER, and V. DENK, Three-Dimensional Calculations of the Simple Shear Flow Around a Single Particle Between Two Moving Walls, Journal of Fluid Mechanics, Vol. 283, pp 273–285, 1995

    Article  MATH  ADS  Google Scholar 

  12. R.L. PANTON, Incompressible Flow, John Wiley & Sons, 1984.

    Google Scholar 

  13. Gary A. SOD, Numerical methods in fluid dynamics: initial and initial boundary-value problems, Cambridge; New York, 1985.

    Google Scholar 

  14. J.F. THOMPSON, Z.U.A. WARSI, C.W. MASTIN, Numerical Grid Generation, Foundations and Applications, Elsevier Science Publishing Co., New York, 1985.

    MATH  Google Scholar 

  15. K. TONG, Numerical Study of Transcient Heat and Mass Transfer on a Moving Droplet with Condensation., PhD Thesis, University of California, Davis, 1991.

    Google Scholar 

  16. C.G. YAM and H.A. DWYER, Unsteady Flow in a Curved Pipe, Contemporary Mathematics, vol. 141, pp. 543–564, 1993

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Paul Kutler Jolen Flores Jean-Jacques Chattot

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag

About this paper

Cite this paper

Rutaganira, T.F., Dwyer, H.A., Cheer, A.Y. (1997). Flow in a curved pipe with moving boundaries. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107165

Download citation

  • DOI: https://doi.org/10.1007/BFb0107165

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63054-8

  • Online ISBN: 978-3-540-69120-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics