Acta Mechanica

, Volume 158, Issue 1–2, pp 121–125 | Cite as

Slip flow past a stretching surface

  • H. I. Andersson


The slip-flow of a Newtonian fluid past a linearly stretching sheet is considered. The partial slip is controlled by a dimensionless slip factor, which varies between zero (total adhesion) and infinity (full slip). An exact analytical solution of the governing Navier-Stokes equation is found, which is formally valid for all Reynolds numbers.


Dynamical System Reynolds Number Fluid Dynamics Transport Phenomenon Newtonian Fluid 
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  1. [1]
    Crane, L. J.: Flow past a stretching plate. Z. Angew. Math. Phys.21, 645–647 (1970).Google Scholar
  2. [2]
    Chiam, T. C.: Micropolar fluid flow over a stretching sheet. ZAMM62, 565–568 (1982).Google Scholar
  3. [3]
    Andersson, H. I., Dandapat, B. S.: Flow of a power-law fluid over a stretching sheet. Stability Appl. Anal. Continuous Media1, 339–347 (1991).Google Scholar
  4. [4]
    Siddappa, B., Khapate, B. S.: Rivlin-Ericksen fluid flow past a stretching plate. Rev. Roum. Sci. Techn.-Méc. Appl.21, 497–505 (1976).Google Scholar
  5. [5]
    Siddappa, B., Abel, S.: Non-Newtonian flow past a stretching plate. Z. Angew. Math. Phys.36, 890–892 (1985).Google Scholar
  6. [6]
    Rajagopal, K. R., Na, T. Y., Gupta, A. S.: Flow of a viscoelastic fluid over a stretching sheet. Rheol. Acta23, 213–215 (1984).Google Scholar
  7. [7]
    Beavers, G. S., Joseph, D. D.: Boundary conditions at a naturally permeable wall. J. Fluid Mech.30, 197–207 (1967).Google Scholar
  8. [8]
    Laplace, P., Arquis, É.: Boundary layer over a slotted plate. Eur. J. Mech. B/Fluids17, 331–355 (1998).Google Scholar
  9. [9]
    Miksis, M. J., Davis, S. H.: Slip over rough and coated surfaces. J. Fluid Mech.273, 125–139 (1994).Google Scholar
  10. [10]
    Gad-el-Hak, M.: The fluid mechanics of microdevices—The Freeman scholar lecture. ASME J. Fluids Engng121, 5–33 (1999).Google Scholar

Copyright information

© Springer-Verlag 2002

Authors and Affiliations

  • H. I. Andersson
    • 1
  1. 1.Department of Applied Mechanics, Thermodynamics and Fluid DynamicsThe Norwegian University of Science and TechnologyTrondheimNorway

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