Transport of spheres suspended in the fluid flowing between hexagonally arranged cylinders

Journal of Fluid Mechanics

Volumn 551, Issue , 2006, Pages 309-321

  Sugihara Seki, Masako ^a  

^a KANSAI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; NEWTONIAN FLOW; REFLECTION; SPHERES; TRANSPORT PROPERTIES;

DIFFUSIVE PERMEABILITY; STOKES FLOW; VASCULAR ENDOTHELIAL SURFACE GLYCOCALYX;

FLUID MECHANICS;

FINITE ELEMENT METHOD; FLUID MECHANICS; INCOMPRESSIBLE FLOW; NEWTONIAN FLOW; REFLECTION; SPHERES; TRANSPORT PROPERTIES;

CYLINDER; FLUID FLOW; INCOMPRESSIBLE FLOW; NEWTONIAN FLUID; SPHERE;

EID: 33646783294     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112005008359     Document Type: Article

References (21)

1. Adamson, R. H. 1990 Permeability of frog mesenteric capillaries after partial pronase digestion of the endothelial gylcocalyx. J. Physiol. 428, 1-13.
2. Adamson, R. H., Huxley, V. H. & Curry, F. E. 1988 Single capillary permeability to proteins having similar size but different charge. Am. J. Physiol. 254, H304-H312.
3. Brinkman, H. C. 1947 A calculation of the viscous force exerted by a flowing fluid in a dense swarm of particles. Appl. Sci. Res. A 1, 27-34.
4. Curry, F. E. 1984 Mechanics and thermodynamics of transcapillary exchange. In Handbook of Physiology, vol. 4, part 1, pp. 309-374.
5. Curry, F. E. & Michel, C. C. 1980 A fiber matrix model of capillary permeability. Microvasc. Res. 20, 96-99.
6. Feng, J., Ganatos, P. & Weinbaum, S. 1998 Motion of a sphere near planar confining boundaries in a Brinkman medium. J. Fluid Mech. 375, 265-296.
7. Ferry, J. D. 1936 Statistical evaluation of sieve constants in ultrafiltration. J. Gen. Physiol. 20, 95-104.
8. Fu, B. M., Weinbaum, S., Tsay, R. Y. & Curry, F. E. 1994 A junction-orifice-fiber entrance layer model for capillary permeability: application to frog mesenteric capillaries. J. Biomech. Engng 116, 502-513.
9. Hu, X. & Weinbaum, S. 1999 A new view of Starling's hypothesis at the microstructural level. Microvasc. Res. 58, 281-304.
10. Kedem, O. & Katchalsky, A. 1958 Thermodynamic analysis of the permeability of biological membranes to non-electrolytes. Biochim. Biophys. Acta 27, 229-246.
11. Kedem, O. & Katchalsky, A. 1961 A physical interpretation of the phenomenological coefficients of membrane permeability. J. Gen. Physiol. 45, 143-179.
12. Larson, R. E. & Higdon, J. J. L. 1986 Microscopic flow near the surface of two-dimensional porous media. Part 1. Axial flow. J. Fluid Mech. 166, 449-472.
13. Michel, C. C. & Curry, F. E. 1999 Microvascular permeability. Physiol. Rev. 79, 703-761.
14. Pappenheimer, J. R., Renkin, E. M. & Borrero, J. M. 1951 Filtration, diffusion and molecular sieving through peripheral capillary membranes. A contribution to the pore theory of capillary permeability. Am. J. Phyisol. 167, 13-46.
15. Pries, A. R., Secomb, T. W. & Gaehtgens, P. 2000 The endothelial surface layer. Pflügers Archiv: Eur. J. Physiol. 440, 653-666.
16. Sparrow, E. M. & Loeffler, jr A. L. 1959 Longitudinal laminar flow between cylinders arranged in regular array. AIChE J. 5, 325-330.
17. Sugihara-Seki, M. 1996 The motion of an ellipsoid in tube flow at low Reynolds numbers. J. Fluid Mech. 324, 287-308.
18. Sugihara-Seki, M. 2004 Motion of a sphere in a cylindrical tube filled with a Brinkman medium. Fluid Dyn. Res. 34, 59-76.
19. Squire, J. M., Chew, M., Nneji, G., Neal, C., Barry, J. & Michel, C. 2001 Quasi-periodic substructure in the microvessel endothelial glycocalyx: A possible explanation for molecular filtering? J. Struct. Biol. 136, 239-255.
20. Taylor, A. E. & Granger, D. N. 1984 Exchange of macromolecules across the microcirculation. In Handbook of Physiology, vol. 4, part 1, pp. 467-520.
21. Weinbaum, S., Zhang, X., Han, Y., Vink, H. & Cowin, S. C. 2003 Mechanotransduction and flow across the endothelial glycocalyx. PNAS 100, 7988-7995.