×

Oscillatory flow in an elastic tube of variable cross-section. (English) Zbl 0511.76130


MSC:

76Z05 Physiological flows
76D05 Navier-Stokes equations for incompressible viscous fluids
76M99 Basic methods in fluid mechanics
Full Text: DOI

References:

[1] Anliker, M., Raman, R. K.: Korotkoff sounds at diastole. A phenomenon of dynamic instability of fluid filled shells. Int. J. Solids Structures2, 467-491 (1966). · doi:10.1016/0020-7683(66)90033-3
[2] Caro, C. G., Pedley, T. J., Schroter, R. C., Seed, W. A.: The mechanics of circulation. Oxford University Press 1978. · Zbl 1234.93001
[3] Hall, P.: Unsteady viscous flow in a pipe of slowly varying, cross section. J. Fluid Mech.64, 209-226 (1974). · Zbl 0284.76026 · doi:10.1017/S0022112074002369
[4] Kurz, W.: Nichtstationäre Strömung in elastischen Modellen arterieller Gefäße. Dissertation, RWTH Aachen, 1980.
[5] Lee, J. S., Fung, T. C.: Flow in a locally constricted tube at low Reynolds numbers. J. Appl. Mech.29, 9-16 (1970). · Zbl 0191.56105 · doi:10.1115/1.3408496
[6] Lighthill, M. J.: Mathematical biofluid dynamics. Philadelphia: SIAM 1975. · Zbl 0312.76076
[7] Manton, M. J.: Low Reynolds number flow in slowly varying axisymmetric tubes. J. Fluid Mech.49, 451-459 (1971). · Zbl 0228.76062 · doi:10.1017/S0022112071002192
[8] Morgan, G. W., Kiely, J. P.: Wave propagation in a viscous liquid contained in a flexible tube. J. Acoust. Soc. Amer.26, 323-328 (1954). · doi:10.1121/1.1907335
[9] Ramachandra Rao, A., Devanathan, R.: Pulsatile flow in tubes of varying crosssection. ZAMP24, 203-213 (1973). · Zbl 0267.76089 · doi:10.1007/BF01590913
[10] Rubinow, S. I., Keller, J. B.: Flow of a viscous fluid through an elastic tube with application to blood flow. J. Theor. Biol.35, 299-313 (1972). · doi:10.1016/0022-5193(72)90041-0
[11] Schneck, D. J., Ostrach, S.: Pulsatile blood flow in a channel of small exponential divergence. I: The linear approximation for low Reynolds number. J. Fluids Engng.97, 353-360 (1975). · doi:10.1115/1.3447314
[12] Smith, F. T.: Flow through constricted or dilated pipes and channels. Part I and II. Quart. J. Mech. Appl Math.29, 343-363, 364-376 (1976). · Zbl 0359.76026 · doi:10.1093/qjmam/29.3.343
[13] Smith, F. T.: The separating flow through severely constricted symmetric tube. J. Fluid Mech.90, 725-754 (1979). · Zbl 0399.76047 · doi:10.1017/S0022112079002500
[14] Tomm, D.: Model investigation of sound generation in vessel stenosis. INSERM-Euromech 92, Cardiovascular and Pulmonary Dynamics.71, 179-191 (1978).
[15] Womersley, J. R.: Oscillatory motion of a viscous liquid in a thin walled elastic tube. I: The linear approximation for long waves. Phil. Mag.46, 199-221 (1955). · Zbl 0064.43903
[16] Womersley, J. R.: An elastic tube theory of pulse transmission and oscillatory flow in mammalian arteries, WADC-TR-56-614, Wright Air Development Center, Wright-Patterson Air Force Base, Ohio. 1957.
[17] Young, D. F., Tsai, F. Y.: Flow characteristics in models of arterial stenosis. I-Steady flow, II-Unsteady flow, J. Biomechanics6, 395-409, 547-559 (1973). · doi:10.1016/0021-9290(73)90099-7
[18] Zeller, H., Reinecke, J.: Geräuschentwicklung in arteriellen Gefäßverengungen. Abhandlungen Aerodyn. Institut der RWTH Aachen Heft24, 7-13 (1980).
[19] Zeller, H., Reinecke, J., Tomm, D., Rieger, H.: Analysis of the sound caused by pulsatile flow through arterial stenoses, Satellite Symposium, Cardiac System Dynamics: Models and Measurements. Proc. of the 28th International Congress of Physiological Sciences. New York: Plenum 1980 (in press).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.