An experimental study of the velocity distribution and transition to turbulence in the aorta | Journal of Fluid Mechanics | Cambridge Core (original) (raw)

Abstract

The development and evaluation of a hot-film probe, suitable for use within arteries and operated with a commercial constant-temperature anemometer and linearizcr, is described. The performance of the system in the recording of arterial velocity wave forms is described, and instantaneous and time-averaged velocity profiles constructed from measurements in the thoracic aorta of dogs are presented. The profiles were blunt, with boundary layers estimated to be less than 2 mm thick throughout the cycle, and significant skews were observed, the explanation for which appears to lie in the influence of local geometry on the flow. A preliminary study of flow disturbances in the aorta based on visual observation of instantaneous velocity wave forms and frequency spectrum analysis is reported. The occurrence of flow disturbances and turbulence is shown to be related to peak Reynolds number and the frequency parameter α. The possible roles of free-stream disturbances and boundary-layer transition in generating these disturbances are discussed.

References

Atabek, H. B. & Chang, C. C. 1961 Oscillatory flow near the entry of a circular tube.Z. angew. Math. Phys. 12,185–201.Google Scholar

Barnett, G. O., Mallos, A. J. & Shapiro, A. 1961 Relationship of aortic pressure and diameter in the dog.J. Appl. Physiol. 16,545–548.Google Scholar

Bellhouse, B. J. 1970 Fluid mechanics of a model mitral valve.J. Physiol. 208,72–73P.Google Scholar

Bellhouse, B. J. & Talbot, L. 1969 Fluid mechanics of the aortic valve.J. Fluid Mech. 35,721–735.Google Scholar

Dryden, H. L. 1936 Air flow in the boundary layer near a plate.N.A.C.A. Bep. no. 562.Google Scholar

Goldstein, S. 1938 Modern Developments in Fluid Dynamics. Clarendon.

Inouye, A. & Kosaka, H. 1959 A study with the olcctromagnetic flowmeter of flow pattorns in carotid and femoral arteries of rabbits and dogs.J. Physiol. 147,209–220.Google Scholar

Jones, A. S. 1970 Wall shear in pulsatile flow.Appl. Math. Preprint University of Queensland, no. 35.Google Scholar

Kuchar, N. R. & Ostrach, S. 1967 Unsteady entrance flows in elastic tubes with application to the vascular system.Case Western Reserve University Rep. Ftas/TR-67-25.Google Scholar

Ling, S. C., Atabek, H. B., Fry, D. L., Patel, D. J. & Janicki, J. S. 1968 Application of heated-film velocity and shear probes to hemodynamic studios.Circulation lies. 23,789–801.Google Scholar

Mcdonald, D. A. 1960 Blood Flow in Arteries. London:Edward Arnold.

Nerem, R. M. 1969 Fluid-mechanical aspects of blood flow.Proc. of 8th Int. Symp. On Space Tech. & Sci. To be published.Google Scholar

Sikuradase, J. 1934 In_Applied Hydro- and Aerodynamics_ (ed. L. Prandtl & O. G. Tietjens).McGraw-Hill.

Noble, M. I. M., Gabe, I. T., Trenchard, D. & Guz, A. 1967 Blood pressure and flow in the ascending aorta of conscious dogs.Cardiovascular Res. 1,9–20.Google Scholar

Noble, M. I. M., Thenchard, D. & Guz, A. 1966 Measurement and significance of the maximum acceleration of blood from the left ventricle.Circulation Res. 19,139–147.Google Scholar

Obremski, H. J., Morkovin, M. V. & Landahl, M. 1969 Portfolio of the stability characteristics of incompressible boundary layers.AGARDO graph, no. 134.

Ohlsson, N. M. 1962 Left heart and aortic blood flow in the dog.Acta Radiologica. Suppl. 213,1–80.Google Scholar

Sarpkaya, T. 1966 Experimental determination of the critical Reynolds number for pulsating Poiseuille flow.Trans. A.S.M.E. 66-FE-S,1–10.Google Scholar

Schlichting, H. 1968 Boundary Layer Theory. McGraw-Hill.

Schultz, D. L., Tunstall Pedoe, D. S., Lee, G. De J., Gunning, A. J. & Bellhouse, B. J. 1969 Velocity distribution and transition in the artorial system. In_Circulatory and Respiratory Mass Transport. A Ciba Foundation Symposium_ (ed. G. E. W. Wolstenholme & J. Knight),pp. 172–199.London:Churchill.

Seed, W. A. 1969 Fabrication of thin-film microcircuits on curved substrates.J. Sci. Instrum. 2,206.Google Scholar

Seed, W. A. & Wood, N. B. 1969 An apparatus for calibrating velocity probos in liquids.J. Sci. Instrum. 2,896–898.Google Scholar

Seed, W. A. & Wood, N. B. 1970a Development and ovaluation of a hot-film velocity probe for cardiovascular studies.Cardiovascular Res. 4,253-263.Google Scholar

Seed, W. A. & Wood, N. B. 1970b Use of a hot-film probe for cardiovascular studies.J. Sci. Instrum. 3,377–384.Google Scholar

Seed, W. A. & Wood, S. B. 1971 Velocity patterns in the aorta.Cardiovascular Res. 5,319–330.Google Scholar

Shen, S. F. 1961 Some considerations on the laminar stability of time-dependent basic flows.J. Aerospace Sci. 20,397–417.Google Scholar

Vidal, R. J. & Golian, T. C. 1967 Heat-transfer measurements with a catalytic flat plate in dissociated oxygen.A.I.A.A. J. 5,1579–1588.Google Scholar

Wowersley, J. R. 1958 The mathematical analysis of the arterial circulation in a state of oscillatory motion.Wright Air Development Center,Tech. Rep. no. Wadc-TR-56-614.

Wood, N. B. 1971 Ph.D. thesis,University of London.

Yellis, E. L. 1966 Laminar-turbulent transition process in pulsatile flow.Circulation Res. 19,791–804.Google Scholar