Abstract
A numerical study of a pulsatile flow of an incompressible viscous fluid in a circular-sectioned tube of given curvature (90° bend, curvature ratio of 1/10) has been carried out. The flow rate, generated by a non-zero mean sinusoidal pressure variation remains positive throughout the whole cycle. The flow is characterized by the following set of values of the governing parameters: Womersley parameter of 4, amplitude ratio of 1.25, Reynolds number range 40 – 360, Strouhal number range 0.05 – 0.45. In such conditions, the flow is always unidirectional and a single secondary motion occurs in the half cross-section. The flow pattern varies during the deceleration phase, the cross flow becoming very weak when the axial flow reaches its minimal value. Consequently the shear stress undergoes great changes during the cycle, the circumferential component being smaller than the axial component. The low-shear region is located near the inner edge, except in a short entrance segment of the curved tube.
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© 1990 Springer Science+Business Media New York
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Thiriet, M., Graham, J.M.R., Issa, R.I. (1990). Quasi-Steady Laminar Viscous Flow in Circular Curved Pipe. In: Mosora, F., Caro, C.G., Krause, E., Schmid-Schönbein, H., Baquey, C., Pelissier, R. (eds) Biomechanical Transport Processes. NATO ASI Series, vol 193. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1511-8_7
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DOI: https://doi.org/10.1007/978-1-4757-1511-8_7
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