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Article

Characteristics of Poiseuille Flow in a Divided Channel

  • M. Zamir (a1) and S.E. Camiletti (a1)
Summary

The problem considered is that of Poiseuille flow in a two dimensional channel impinging on a flat plate placed symmetrically between the two channel walls so as to bifurcate the channel into two equal branches. The results of a theoretical study of the problem are presented and analysed to portray in full details the characteristics of the flow before and after the bifurcation point. In particular the effects of the flow divider on the flow near the channel walls and the effects of the channel walls on the flow near the flow divider are examined.

Copyright
COPYRIGHT: © Royal Aeronautical Society. 1982
References
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1 Bodoia, J.R. and Osterie, J.F. Finite difference analysis of plane Poiseuille and Couette flow developments. Appl. Sci. Res., Vol. 10, pp 265-276, 1961
2 Camiletti, S.E. Incompressible flow in a divided channel. Ph.D. thesis, University of Western Ontario.
3 Camiletti, S.E. and Zamir, M. Perturbation analysis of Poiseuille flow in a divided channel. Tvansactions of the CSME, Vol. 6, No. 4, 1982
4 Collins, M. and Schowalter, W.R. Laminar flow in the inlet region of a straight channel. Phys. Fluids, Vol. 5, pp 1122-1124, 1962
5 Lew, H.S. Low Reynolds number equibifurcation flow in a two-dimensional channel. J. Biomechanics, Vol. 4, pp 559-568, 1971
6 Rosenhead, L. (ed) Laminar Boundary Layers. Oxford University Press, London and New York, 1963
7 Schlichting, H. Boundary Layer Theory, 6th ed. McGraw-Hill, New York, 1968
8 Smith, F.T. Steady motion through a branching tube. Proc. Roy. Soc. London A 355, pp 167-187, 1977
9 Van Dyke, M. Perturbation Methods in Fluid Dynamics. The Parabolic Press, Stanford, California, 1975
10 Zamir, M. and Roach, M.R. Blood flow downstream of a two-dimensional bifurcation. J. Theor. Biol., Vol. 42, pp 33-48, 1973
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The Aeronautical Journal
  • ISSN: 0001-9259
  • EISSN: 2398-2179
  • URL: /core/journals/aeronautical-journal
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