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Laser anemometer study of flow development in curved circular pipes

Published online by Cambridge University Press:  12 April 2006

Y. Agrawal ,
L. Talbot  and
K. Gong
Y. Agrawal
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley
L. Talbot
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley
K. Gong
Affiliation:
Department of Mechanical Engineering, University of California, Berkeley
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Abstract

An experimental investigation was carried out of the development of steady, laminar, incompressible flow of a Newtonian fluid in the entry region of a curved pipe for the entry condition of uniform motion. Two semicircular pipes of radius ratios 1/20 and 1/7 were investigated, covering a Dean number range from 138 to 679. The axial velocity and the component of secondary velocity parallel to the plane of curvature of the pipe were measured using laser anemometry. It was observed that, in the upstream region where the boundary layers are thin compared with the pipe radius, the axial velocity within the irrotational core first develops to form a vortex-like flow. In the downstream region, characterized by viscous layers of thickness comparable with the pipe radius, there appears to be three-dimensional separation at the inner wall. There is also an indication of an additional vortex structure embedded within the Dean-type secondary motion. The experimental axial velocity profiles are compared with those constructed from the theoretical analyses of Singh and Yao & Berger. The quantitative agreement between theory and experiment is found to be poor; however, some of the features observed in the experiment are in qualitative agreement with the theoretical solution of Yao & Berger.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 85 , Issue 3 , 13 April 1978 , pp. 497 - 518
Copyright
© 1978 Cambridge University Press

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References

Adler, M. 1934 Z. angew. Math. Mech. 14, 257.
Agrawal, Y. C. 1975 Laser velocimeter study of entrance flows in curved pipes. Univ. Calif. Coll. Engng Berkeley, Rep. FM-75-1.Google Scholar
Austin, L. 1971 The development of viscous flow within helical coils. Ph.D. thesis, University of Utah.
Barua, S. N. 1963 Quart. J. Mech. Appl. Math. 16, 61.
Brech, R. & Bellhouse, B. J. 1973 Cardiovasc. Res. 7, 593.
Caro, C. J. 1973 In Atherogenesis: Initiating Factors, Ciba Symp. (New Ser.), 12, 127. Elsevier: Excerpta Medica.Google Scholar
Collins, W. M. & Dennis, S. C. R. 1975 Quart. J. Mech. Appl. Math. 28, 133.
Dean, W. R. 1928 Phil. Mag. 5, 673.
Durst, F., Melling, A. & Whitelaw, J. H. 1972 J. Fluid Mech. 56, 143.
Fargie, D. & Martin, B. W. 1971 Proc. Roy. Soc. A 321, 461.
Fry, D. L. 1973 In Atherogenesis: Initiating Factors. Ciba Symp. (New Ser.), 12, 93. Elsevier: Excerpta Medica.Google Scholar
Lighthill, M. J. 1963 In Laminar Boundary Layers (ed. L. Rosenhead), p. 84. Oxford University Press.
PEdley, T. J., Schroter, R. C. & Sudlow, M. F. 1971 J. Fluid Mech. 46, 365.
Scarton, H. A., Shaw, P. M. & Tsapogas, M. J. 1977 Relationship of the spatial evolution of secondary flow in curved tubes to the aortic arch. In Mechanics in Engineering, pp. 111–131. University of Waterloo Press.
Singh, M. P. 1974 J. Fluid Mech. 65, 517.
Smith, F. T. 1975 J. Fluid Mech. 71, 15.
Smith, F. T. 1976 Proc. Roy. Soc. A 351, 71–87.
Stevenson, W. H. 1970 Appl. Optics 9, 649.
Vom Stein, H. D. & Pfeiffer, J. J. 1972 Appl. Optics 11, 305.
Yao, L. S. & Berger, S. A. 1975 J. Fluid Mech. 67, 177.