Taylor dispersion in finite-length capillaries

Chemical Engineering Science

Volumn 66, Issue 4, 2011, Pages 642-649

  Vikhansky, A ^a   Wang, W ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Biomedical engineering; Diffusion; Mass transfer; Mathematical modelling; RTD; Taylor dispersion

Indexed keywords

AXIAL DISPERSIONS; CORE-ANNULAR GEOMETRY; DISPERSION OF SOLUTES; EXACT FORMULAS; HIGHER MOMENTS; LIQUID FLOW; LOW PERMEABILITY; MATHEMATICAL MODELLING; MICROVASCULAR; NEWTONIANS; NON-NEWTONIAN; PHASE TRANSPORT; POWER-LAW; RELATIVE IMPORTANCE; RESIDENCE TIME DISTRIBUTIONS; RTD; SECOND MOMENTS; SHEAR THINNING FLUIDS; TAYLOR COEFFICIENTS; TAYLOR DISPERSION; TAYLOR EXPRESSION;

BIOMEDICAL ENGINEERING; CAPILLARITY; GLUCOSE; HISTOLOGY; LIQUIDS; MASS TRANSFER; MATHEMATICAL MODELS; MICROCIRCULATION; NON NEWTONIAN FLOW; PHASE INTERFACES; SOLUTE TRANSPORT; TISSUE;

DISPERSIONS;

EID: 78650701075     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2010.11.019     Document Type: Article

References (37)

1. Ajdari A., Bontoux N., Stone H.A. Hydrodynamics dispersion in shallow microchannels: the effect of cross-sectional shape. Anal. Chem. 2006, 78:387-392.
2. Aris R. On the dispersion of a solute by diffusion, convection and exchange between phases. Proc. R. Soc. London A 1959, 252:538-550.
3. Bandyopadhyay K., Bhattacharya A.K., Biswas P., Drabold D.A. Maximum entropy and the problem of moments: a stable algorithm. Phys. Rev. E 2005, 71:057701.
4. Boycott A.E., Damant G.C.C., Haldane J.S. The prevention of compressed air illness. J. Hyg. 1908, 8:342-443.
5. Buhlmann A.A. Decompression after repeated dives. Undersea Biomed. Res. 1987, 14(1):59-66.
6. Chary S.R., Jain R.K. Direct measurement of interstitial convection and diffusion of albumin in normal and neoplastic tissues by fluorescence photobleaching. Proc. Nat. Acad. Sci. 1989, 86:5385-5389.
7. Chappell M.A., Payne S.J. A physiological model of the interaction between tissue bubbles and the formation of blood-borne bubbles under decompression. Phys. Med. Biol. 2006, 51:231-2338.
8. Danckwerts P.V. Continuous flow systems. Chem. Eng. Sci. 1953, 2:1-13.
9. Fallon M.S., Chauhan A. Dispersion in core-annular flow with a solid annulus. AIChE J. 2005, 51:2415-2427.
10. Gustafsson P.M., De Jong P.A., Tiddens H.A.W.M., Lindblad A. Multiple-breath inert gas washout and spirometry versus structural lung disease in cystic fibrosis. Thorax 2008, 63:129-134.
11. Hamdan E., Milthorpe J.F., Lai J.C.S. The influence of nonuniform coating and Taylor dispersion on the evaluation of capillary column inverse gas chromatography. J. Chromatogr. A 2005, 1091:137-144.
12. Hennessy T.R. The interaction of diffusion and perfusion in homogeneous tissue. Bull. Math. Biol. 1974, 36:505-526.
13. Hills B.A. Vital tissues in computing decompression schedules from fundamentals: II. Diffusion versus blood perfusion in controlling blood-tissue exchange. Int. J. Biometeorol. 1970, 14:323-342.
14. Hober R. Physical Chemistry of Cells and Tissues 1967, Churchill, London.
15. Jepson P.D., Arbelo M., Deaville R., Patterson I.A., Castro P., Baker J.R., Degollada E., Ross H.M., Herráez P., Pocknell A.M., Rodríguez F., Howie F.E., Espinosa A., Reid R.J., Jaber J.R., Martin V., Cunningham A.A., Fernández A. Gas-bubble lesions in stranded cetaceans. Nature 2003, 425:575-576.
16. Jones H.B. Respiratory system: nitrogen elimination. Medical Physics 1950, vol. 2:855-871. Yes Book Publishers.
17. Karner G., Perktold K. Effect of endothelial injury and increased blood pressure on albumin accumulation in the arterial wall: a numerical study. J. Biomech. 2000, 33:709-715.
18. Kety S.S. The theory and applications of the exchanges of inert gas at the lungs and tissues. Pharmocol. Rev. 1951, 3:1-41.
19. Lango T., Morland T., Brubakk A.O. Diffusion coefficients and solubility coefficients for gases in biological fluids and tissues: a review. Undersea Hyperbaric Med. 1996, 23(4):247-272.
20. Levitt D.G. Capillary-tissue exchange kinetics-an analysis of the Krogh cylinder model. J. Theor. Biol. 1972, 34:103-124.
21. Michel C.C., Curry F.E. Microvascular permeability. Physiol. Rev. 1999, 79:703-761.
22. Ortan A., Quenneville-Bélair V., Tilley B.S., Townsend J. On Taylor dispersion effects for transient solutions in geothermal heating systems. Int. J. Heat Mass Transfer 2009, 52:5072-5080.
23. Persons B.L., Collins B., Linearweaver W.C. Hyperbaric Medicine. Encyclopedia of Medical Devices and Instrumentation 2006, 18-29. John Wiley & Sons. second edn. J.G. Webster (Ed.).
24. Piantadosi C.A., Thalmann E.D. Pathology: whales, sonar and decompression sickness. Nature 2004, 428. 1p following 716.
25. Rudin M., Sauter A. Non-invasive determination of cerebral blood flow changes by 19F NMP spectroscopy. NMR Biomed. 1989, 2(3):98-103.
26. Sejrsen P., Tonnesen K.H. Inert gas diffusion method for measurement of blood flow using saturation techniques. Circ. Res. 1968, 22:679-693.
27. Squire J.M., Chew M., Nineji G., Neal C., Barry J., Michel C.C. Quasi-periodic substructure in the microvessel endothelial glycocalyx: a possible explanation for molecular filtering?. J. Struct. Biol. 2001, 136:239-255.
28. Taylor G.I. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. London A 1953, 219:186-203.
29. Vikhansky A. Effect of diffusion on residence time distribution in chaotic channel flow. Chem. Eng. Sci. 2008, 63:1866-1870.
30. Vikhansky A. Taylor dispersion in shallow micro-channels: aspect ratio effect. Microfluid. Nanofluid. 2009, 7:91-95.
31. Vikhansky A., MacInnes J.M. Analysis of a pressure-driven folding flow microreactor with nearly plug-flow characteristics. AIChE J. 2010, 56:1988-1994.
32. Vikhansky, A., 2010. Numerical analysis of residence time distribution in microchannels. Chem. Eng. R&D, in press, doi:10.1016/j.cherd.2010.06.010.
33. Wagner P.D. Peripheral inert-gas exchange. In Handbook of Physiology. Handbook of Physiology, Chapter. 14, Section 3. The Respiratory System 1987, vol. IV:257-281. American Physiological Society.
34. Wang W., Winlove C.P., Michel C.C. Oxygen partial pressure in outer layers of skin of human finger nail folds. J. Physiol. 2003, 549:855-863.
35. Wang W. Oxygen partial pressure in outer layers of skin: simulation using three-dimensional multilayered models. Microcirculation 2005, 12(2):195-207.
36. Wang W. Change in properties of the glycocalyx affects the shear rate and stress distribution on endothelial cells. J. Biomech. Eng. 2007, 129:324-329.
37. Weathersby P.K., Homer L.D., Flynn E.T. On the likelihood of decompression sickness. J. Appl. Physiol. Respirat 1984, 57(3):815-825.