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Experimental study of physiological pulsatile flow in a curved tube

Published online by Cambridge University Press:  20 April 2006

K. B. Chandran
Affiliation:
Hemodynamics Laboratory, Division of Materials Engineering and Center for Materials Research, College of Engineering, The University of Iowa, Iowa 52242
T. L. Yearwood
Affiliation:
Hemodynamics Laboratory, Division of Materials Engineering and Center for Materials Research, College of Engineering, The University of Iowa, Iowa 52242

Abstract

In this paper, an experimental determination of the three-dimensional velocity distribution due to the physiological pulsatile flow of a Newtonian, incompressible fluid at various locations in a curved tube of circular cross-section is presented. Our results show four interesting features of the pulsatile flow development in the curved tube. First is the presence of a reversed flow along the inner wall of the tube during the diastolic (deceleration) phase of the pulsatile flow cycle. Second is that the flow does not appear to be fully developed in the curved tube through the cross-section whose L/a ratio is equal to 16·9, the final location at which measurements were made in this study, where L is the axial length and a is the radius of the curved tube. A third feature observed is the vacillation of the peak axial velocity across the horizontal diameter of the tube from the upstream to the downstream region in the curved tube. In the upstream region (L/a = 3·4), the maximum axial velocity measured occurred nearest to the outer wall. The maximum axial velocity shifted towards the inner wall in the middle of the tube (L/a = 10·2), while in the downstream region (L/a = 16·9), the maximum axial velocity measured was again near the outer wall. Finally, trapped vortical motions are observed to occur at the inner wall of the tube in the downstream region.

Type
Research Article
Copyright
© 1981 Cambridge University Press

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References

Agrawal, Y. C., Talbot, L. & Gong, K. 1978 Laser anemometer study of flow development in curved circular pipes. J. Fluid Mech. 85, 497518.Google Scholar
Barua, S. N. 1963 On secondary flow in stationary curved pipes. Quart. J. Mech. Appl. Math. 16, 6177.Google Scholar
Bergel, D. H., Nerem, R. M. & Schwartz, C. J. 1976 Fluid dynamic aspects of arterial disease. Atherosclerosis 23, 253261.Google Scholar
Boussinesq, M. J. 1872 Infl. d. forces centrifuges sur le mouv. perm. varie de l'eau dans les canuz larges. Paris, Soc. Philom. Bull. 8(6), 7782.Google Scholar
Chandran, K. B., Hosey, R. R., Ghista, D. N. & Vayo, V. W. 1979 Analysis of fully developed unsteady viscous flow in a curved elastic tube model to provide fluid mechanical data for some circulatory path-physiological situations and assist devices. J. Biomech. Engng 101, 114123.Google Scholar
Chandran, K. B., Swanson, W. M., Ghista, D. N. & Vayo, H. W. 1974 Oscillatory flow in thin-walled curved elastic tubes. Ann. Biomed. Engng 2, 392412.Google Scholar
Chandran, K. B., Yearwood, T. L. & Wieting, D. W. 1979 An experimental study of pulsatile flow in a curved tube. J. Biomech. 12, 793805.Google Scholar
Choi, V. S., Talbot, L. & Cornet, I. 1979 Experimental study of wall shear rates in the entry region of a curved tube. J. Fluid Mech. 93, 229274.Google Scholar
Collins, W. M. & Dennis, S. C. R. 1975 The steady motion of a viscous fluid in a curved tube. Quart. J. Mech. Appl. Math. 28, 133156.Google Scholar
Dean, W. R. 1927 Note on the motion of fluid in a curved pipe. Phil. Mag. 20(7), 208223.Google Scholar
Dean, W. R. 1928 The streamline motion of fluid in a curved pipe. Phil. Mag. 30(7), 673693.Google Scholar
Eustice, J. 1911 Experiments on streamline motion in curved pipes. Proc. Roy. Soc. A 85, 119131.Google Scholar
Greenspan, A. D. 1973 Secondary flow in a curved tube. J. Fluid Mech. 57, 167176.Google Scholar
Ito, H. 1969 Laminar flow in curved pipes. Z. angew. Math. Mech. 49, 653663.Google Scholar
Lyne, W. H. 1971 Unsteady viscous flow in a curved pipe. J. Fluid Mech. 45, 1331.Google Scholar
Mcconalogue, D. J. & Srivastava, R. S. 1968 Motion of a fluid in a curved pipe. Proc. Roy. Soc. A 307, 3753.Google Scholar
Morgan, G. W. & Kiely, J. P. 1954 Wave propagation in a viscous liquid contained in a flexible tube. J. Acoust. Soc. Am. 26, 323328.Google Scholar
Mori, Y. & Nakayama, W. 1965 Study on forced convective heat transfer in curved pipes. First report. Laminar region. Int. J. Heat Mass Transfer 8, 6782.Google Scholar
Munson, B. R. 1975 Experimental results for oscillating flow in a curved pipe. Phys. Fluids 18, 16071609.Google Scholar
Olson, D. E. 1971 Fluid mechanics relevant to respiratory flow with curved elliptic tubes and bifurcating systems. Ph.D. thesis, Imperial College, London, England.
Patankar, S. V., Pratap, V. S. & Spalding, D. B. 1974 Prediction of laminar flow and heat transfer in helically coiled pipes. J. Fluid Mech. 62, 539551.Google Scholar
Pedley, T. J. 1974 Flow in the entrance of the aorta. Fluid Dynamics of Arterial Disease (ed. R. M. Nerem), Proc. of a Specialists’ Meeting at Ohio State University, Columbus, Ohio.
Pedley, T. J. 1975 A thermal boundary layer in a reversing flow. J. Fluid Mech. 67, 209225.Google Scholar
Pedley, T. J. 1976 Viscous boundary layer in reversing flow. J. Fluid Mech. 74, 5979.Google Scholar
Sankaraiah, M. & Rao, Y. V. N. 1973 Analysis of steady laminar flow of an incompressible Newtonian fluid through curved pipes of small curvature. Trans. A.S.M.E. I, J. Fluid Engng 95, 7580.Google Scholar
Scarton, H. A., Shah, P. M.& Tsapogas, M. J. 1977 Relationship of the spatial evolution of secondary flow in curved tubes to the aortic arch. Mechanics in Engineering, pp. 111131. University of Waterloo Press.
Singh, M. P. 1974 Entry flow in a curved pipe. J. Fluid Mech. 65, 517539.Google Scholar
Singh, M. P., Sinha, P. C. & Aggarwal, M. 1978 Flow in the entrance of the aorta. J. Fluid Mech. 87, 97120.Google Scholar
Smith, F. T. 1975 Pulsatile flow in curved pipe. J. Fluid Mech. 71, 417539.Google Scholar
Stewartson, K., Cebeci, T. & Chang, K. C. 1980 A boundary-layer collision in a curved duct. Quart. J. Mech. Appl. Math. 33, 5975.Google Scholar
Thompson, J. 1879 Flow round river bends. Proc. Inst. Mech. Eng. 2, Plate 58, 456460.Google Scholar
Truesdell, L. C. 1963 Numerical treatment of laminar flow through helical conduits. Ph.D. thesis, Case Institute of Technology.
Wieting, D. W. 1969 Dynamic flow characteristics of heart valves. Ph.D. dissertation, University of Texas, Austin.
Yao, L. S. & Berger, S. A. 1975 Entry flow in a curved pipe. J. Fluid Mech. 67, 177196.Google Scholar
Yearwood, T. L. 1979 Steady and pulsatile flow analysis in a model of the human aortic arch. Ph.D. dissertation, Tulane University, New Orleans.
Zalosh, R. G. & Nelson, W. G. 1973 Pulsating flow in a curved tube. J. Fluid Mech. 59, 693705.Google Scholar