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Laminar flow through slots

Published online by Cambridge University Press:  21 April 2006

E. G. Tulapurkara
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Technology, Madras-600036, India
B. H. Lakshmana Gowda
Affiliation:
Department of Applied Mechanics, Indian Institute of Technology, Madras-600036, India
N. Balachandran
Affiliation:
Department of Aeronautical Engineering, Indian Institute of Technology, Madras-600036, India

Abstract

Laminar flow through slots is investigated using a flow-visualization technique and the numerical solution of the Navier-Stokes equations for steady flow. In the flow situation studied here, the fluid enters an upper channel blocked at the rear end and leaves through a lower channel blocked at the front end. The two channels are interconnected by one, two and three slots. The flow-visualization technique effectively brings out the various features of the flow through slot(s). The ratio of the slot width to the channel height w/h is varied between 0.5 to 4.0 and the Reynolds number Re, based on the velocity at the entry to the channel and the height of the channel, is varied between 300 and 2000. Both w/h and Re influence the flow in general and the extent of the regions of recirculating flow in particular. The Reynolds number at which the vortex shedding begins depends on w/h. Computations are carried out using the computer code 2/E/FIX of Pun & Spalding (1977). The computed flow patterns closely resemble the observed patterns at various Reynolds numbers investigated except around the Reynolds number where the vortex shedding begins.

Type
Research Article
Copyright
© 1988 Cambridge University Press

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References

Balachandran, N. 1985 Flow through channels interconnected by Slots. MS thesis, IIT, Madras.
Caretto, L. S., Gosman, A. D., Patankar, S. V. & Spalding, D. B. 1973 Two calculation procedures for steady, three-dimensional flows with recirculation. In Proc. Third Intl Conf. on Numerical Methods in Fluid Mechanics (ed. J. Ehlers, K. Hepp & H. A. Weidenmuller), Vol. II, pp. 6068. Springer.
Castro, J. P. 1979 Numerical difficulties in the computation of complex turbulent flows. In Turbulent Shear Flows-I (ed. F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 220236. Springer.
Cebeci, T. & Smith, A. M. O. 1974 Analysis of Turbulent Boundary Layers, p. 330. Academic.
Davis, R. W. & Moore, E. F. 1982 A numerical study of vortex shedding from rectangles. J. Fluid Mech. 116, 475506.Google Scholar
Launder, B. E. & Spalding, D. B. 1974 The numerical computation of turbulent flows. Computer Meth. Appl. Mech. Engng 3, 269289.Google Scholar
Patankar, S. V. & Spalding, D. B. 1972 A calculation procedure for heat mass and momentum transfer in three-dimensional parabolic flows. Intl J. Heat Mass Transfer 15, 17871806.Google Scholar
Pun, W. M. & Spalding, D. B. 1977 A general programme for two-dimensional elliptic flows. Rep. HTS/76/2. Imperial College, London.
Saddoughi, S. G. 1982 Analysis of potential flow through slots. MS thesis, IIT, Madras.
Sampath, S. & Ganesan, V. 1986 Measurements of velocity and kinetic energy of turbulence in swirling flows and their numerical prediction. Intl J. Numer. Meth. Fluids 6, 229240.Google Scholar
Tulapurkara, E. G., Balachandran, N., Solanki, K. L., Rajan, S. C. & Damodaran, K. A. 1986 Flow through channels inter-connected by slot(s). J. Aero Soc. India 38, 4347.Google Scholar
Vaselic-Melling, D. 1977 Three-dimensional turbulent flow past rectangular bluff bodies. PhD thesis, London University, Imperial College, London (Rep. HTS /77/10).