Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-19T06:03:10.003Z Has data issue: false hasContentIssue false
  • English
  • Français

On flow through furrowed channels. Part 1. Calculated flow patterns

Published online by Cambridge University Press:  19 April 2006

Ian J. Sobey
Ian J. Sobey
Affiliation:
Department of Engineering Science, Oxford University
Get access Rights & Permissions [Opens in a new window]

Abstract

Bellhouse et al. (1973) have developed a high-efficiency membrane oxygenator which utilizes pulsatile flow through furrowed channels to achieve high mass transfer rates. We present numerical solutions of the time-dependent two-dimensional Navier–Stokes equations in order to show the structure of the flow. Experimental observations which support this work are presented in a companion paper (Stephanoff, Sobey & Bellhouse 1980).

Steady flow through a furrowed channel will separate provided the Reynolds number is sufficiently large. The effect of varying the Reynolds number and the geometric parameters is given and comparisons with solutions calculated using the modern boundary-layer theory of Smith (1976) show excellent agreement. Unsteady flow solutions are given as the physical and geometric parameters are varied. The structure of the flow patterns leads to an explanation of the high efficiency of the devices of Bellhouse.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 96 , Issue 1 , 16 January 1980 , pp. 1 - 26
Copyright
© 1980 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bellhouse, B. J., Bellhouse, F. H., Curl, C. M., MacMillan, T. I., Gunning, A. J., Spratt, E. H., MacMurray, S. B. & Nelems, J. M. 1973 Trans. Amer. Soc. Artif. Int. Organs 19, pp. 77–79.
Bellhouse, B. J., Bellhouse, F. H. & Haworth, W. S. 1977 European Soc. Artif. Organs 4, (in the press).
Bellhouse, B. J. & Snuggs, T. A. 1977 Inserm-Euromech 92, 71, 371–384.
Gillani, N. V. & Swanson, W. M. 1976 J. Fluid Mech. 78, 99–127.
Hall, P. 1974 J. Fluid Mech. 64, 209–226.
Lighthill, M. J. 1963 Laminar Boundary Layers (ed. L. Rosenhead), chap. 2. Oxford University Press.
Lyne, W. H. 1971 J. Fluid Mech. 50, 33–48.
Roache, P. J. 1972 Computational Fluid Dynamics. Hermosa.
Smith, F. T. 1974 J. Inst. Math. Appl. 13, 127.
Smith, F. T. 1976 Quart. J. Mech. Appl. Math. 29, 343–364.
Snuggs, T. A. 1977 D.Phil. Dissertation. Oxford University.
Stephanoff, K., Sobey, I. J. & Bellhouse, B. J. 1980 J. Fluid Mech. 95, 27–32.
Stewartson, K. & Williams, P. G. 1969 Proc. Roy. Soc. A 312, 187–206.