Abstract
The flow of a fluid along a tube becomes distinctly three-dimensional in the vicinity of a side branch which carries away a fraction of the total flow. In some circumstances the flow on the straight tube wall separates opposite the side branch with the formation of a separation bubble or horseshoe vortex according to various observers. Here it is proposed that the conditions for this flow separation can be predicted by adapting the analysis known to predict separation in divergent ducts bearing two-dimensional flows. The prediction of this adapted analysis is examined experimentally and is shown to hold in a range of Reynolds numbers of physiological interest for branching of systemic arteries.
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Reference
Woolf, N. Pathology of Atherosclerosis, Butterworths, London (1982)
Grottum, P, Svindland, A, Walloe, L: Localization of early atherosclerotic lesions in the right carotid bifrucation in humans, Acta Patho Microbiol Scand Sect. A 91: 65–70, 1983.
Grottum, P, Svindland, A and Walloe L: Localization of atherosclerotic lesions in the bifurcation of the main left coronary artery. Atherosclerosis, 47: 55–62, 1983.
Fox, B, Seed, WA, Location of early atheroma in human coronary arteries. ASME Journal of Biomechanical Engineering, 103: 208–212, 1981
Karino, T, Lwong, HHM, Goldsmith, HL: Particle flow behavior in models of branching vessels; Biorheology 1; 6: 231–248, 1979.
Walbum, DJ, Sabbah, HN, Stein PD: Flow visualization in mold of atheroscleorit chuman abdominal aorta. ASME Journal of Biomechanical Engineering, 103: 168–170, 1981.
Fukushima, T, Azuma T: The horseshoe vortex: A secondary flow generated in arteries with stenosis, bifurcation, and branchings. Biorheology 19: 143–154, 1982.
Talukder, N, Nerem, RM: Flow characteristics in vascular graft models, Digest of the First International Conference on Mechanics in Medicine and Biology, Aachen, 1978 VII 281–284.
Schlichting, H: Boundary Layer Theory, Sixth Ed. Trans. J. Kestin, McGraw-Hill, New York, 1968, 100.
Batchelor, GK: An Introduction to Fluid Mechanics. Cambridge University Prees, 1967 294–300
Richardson, PD: Blood flow in prosthetic devices, Science Progress, Oxford, 68: 375–391, 1975.
Bharadvaj, BK, Mabon, RF, Gidden, DP: Steady flow in a model of the human carotid bifurcation. Part I-Flow visualization. J of Biomechanics, 15: 349–362, 1982.
Bharadvaj, BK, Mabon, RF, Giddens, DP: Steady flow in a model of the human carotid bifurcation. Part II-Laser-Doppler-anemometer measurements. J of Biomechanics 15: 363–378, 1982.
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© 1990 Springer-Verlag Berlin Heidelberg
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Richardson, P.D. (1990). Flow Separation Opposite A Side Branch. In: Liepsch, D.W. (eds) Biofluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52338-0_35
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DOI: https://doi.org/10.1007/978-3-642-52338-0_35
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52730-5
Online ISBN: 978-3-642-52338-0
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