Gopalan, N. P. Laminar flow of a suspension in a curved pipe with varying curvature. (English) Zbl 0563.73086 Int. J. Eng. Sci. 23, 621-632 (1985). The laminar flow of a fairly concentrated suspension (in which the volume fraction Z of the solid particles \(<0.4)\) in a spatially varying periodically curved pipe has been examined numerically. Unlike the case of interacting suspension flows, the particles are found to flow in a well-mixed fashion, altering both the axial and circumferential velocities and consequently the fluid flux in the tube, depending on their diffusivity and inertia. The magnitude of shear stress at the wall is enhanced, suggesting that, if applied to vascular system, the vascular wall could be prone to ulceration during pathological situations like polycythemia. The delay in adaptation of the deviation in Poiseuille flow velocity to the curvature changes is also discussed in detail. MSC: 74L15 Biomechanical solid mechanics 76Z05 Physiological flows 92Cxx Physiological, cellular and medical topics Keywords:laminar flow; fairly concentrated suspension; spatially varying periodically curved pipe; examined numerically; particles; well-mixed fashion; altering both the axial and circumferential velocities; diffusivity; inertia; magnitude of shear stress; vascular system; ulceration; polycythemia; delay in adaptation of the deviation in Poiseuille flow velocity to the curvature changes Citations:Zbl 0476.76102; Zbl 0326.76038 PDFBibTeX XMLCite \textit{N. P. Gopalan}, Int. J. Eng. Sci. 23, 621--632 (1985; Zbl 0563.73086) Full Text: DOI References: [1] Fry, D. L., Response of the arterial wall to certain physical factors, (Ciba Fdn. Symp. 12. Ciba Fdn. Symp. 12, Atherogenesis: Initiating Factors (1973), Associated Scientific: Associated Scientific New York) · Zbl 0583.92007 [2] Caro, G. G., Transport of material between blood and wall in arteries, (Ciba Fdn. Symp. 12. Ciba Fdn. Symp. 12, Atherogenesis: Initiating Factors (1973), Associated Scientific: Associated Scientific New York) [3] Texon, M., The role of vascular dynamics in the development of atherosclerosis, (Sanler, M.; Bourne, G. H., Atherosclerosis and its origin (1963), Academic Press: Academic Press New York) [4] Kaimal, M. R.; Devanathan, R., Int. J. Engng Sci., 18, 847 (1980) [5] Pai, S. I.; Hsieh, T., Z. Flugwiss, 21, 442 (1973) [6] Murata, S.; Miyake, T.; Inaba, T., J. Fluid Mech., 73, 735 (1976) [7] Dean, W. R., Phil. Mag., 5, 673 (1928) [8] Gopalan, N. P., Lett. App. and Engng Sci., 22, 617 (1984) [9] Gopalan, N. P., Int. J. Engng Sci., 20, 327 (1983) 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.