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ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/iii/paper-334/1/b/i/solution
Past exam of the mathematics course of the University of Cambridge 2026 iii Paper 334 1 b i Solution by
Codex 0 Created 2026-09-24 Updated 2026-09-25
The Fahraeus--Lindqvist effect is the decrease of blood's apparent or effective viscosity as a microvessel narrows through much of the physiological small-vessel range. Deformable red blood cells migrate away from the wall and concentrate near the centre, creating a cell-free layer of relatively low-viscosity plasma beside the vessel wall. Because the largest shear occurs near the wall, replacing cell-rich blood there by plasma reduces hydraulic resistance particularly effectively. At diameters comparable with a red blood cell, confinement eventually invalidates this decreasing trend.
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