Dispersion in core-annular flow with a solid annulus

AIChE Journal

Volumn 51, Issue 9, 2005, Pages 2415-2427

  Fallon, Marissa S ^a   Chauhan, Anuj ^a  

^a J Crayton Pruitt Family Department of Biomedical Engineering   (United States)

Author keywords

Core annular flow; Krogh cylinder; Mass transfer; Plug flow; Poiseuille flow; Taylor dispersion; Transport in capillaries and tissues

Indexed keywords

CORE-ANNULAR GEOMETRY; MASS-TRANSFER RESISTANCE; MOLECULAR DIFFUSION; POISEUILLE FLOW;

ASPECT RATIO; DIFFUSION; DISPERSION (WAVES); MASS TRANSFER; MATHEMATICAL MODELS; TISSUE;

FLOW OF FLUIDS;

DISPERSION; MASS TRANSFER; PLUG FLOW; POISEUILLE FLOW; SOLUTE TRANSPORT;

EID: 26944497236     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.10506     Document Type: Conference Paper

References (21)

1. Taylor GI. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc R Soc Lond Ser A Math Phys Eng Sci. 1953;219:186-203.
2. Ananthkrishnan V, Gill WN, Barduhn AJ. Laminar dispersion in capillaries: Part I. Mathematical analysis. AIChE J. 1965;11:1063-1072.
3. Gill WN, Sankaras R. Exact analysis of unsteady convective diffusion. Proc R Soc Lond Ser A Math Phys Eng Sci. 1970;316:341-350.
4. Sankarasubramanian R, Gill WN. Unsteady convective diffusion with interphase mass transfer. Proc R Soc Lond Ser A Math Phys Eng Sci. 1973;333:115-132.
5. Aris R. On the dispersion of a solute by diffusion, convection and exchange between phases. Proc R Soc Lond Ser A Math Phys Eng Sci. 1959;252:538-550.
6. Tepper RS, Lee HL, Lightfoot EN. Transient convective mass transfer in Krogh tissue cylinders. Ann Biomed Eng. 1978;6:506-530.
7. Levitt DG. Capillary-tissue exchange kinetics - An analysis of the Krogh cylinder model. J Theor Biol. 1972;34:103-124.
8. Fournier RL. Basic Transport Phenomena in Biomedical Engineering. Philadelphia, PA: Taylor & Francis; 1999.
9. Krogh A. The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. J Physiol. 1919;52:409-415.
10. Popel AS, Goldman D, Vadapalli A. Modeling of oxygen diffusion from the blood vessels to intracellular organelles. Adv Exp Med Biol. 2003;530:485-495.
11. Charm SE, Kurland GS. Blood Flow and Microcirculation. New York, NY: Wiley; 1974.
12. Bloor MI. The flow of blood in the capillaries. Phys Med Biol. 1968;13:443-450.
13. Burton AC. Physiology and Biophysics of the Circulation: An Introductory Text. Chicago, IL: Year Book Medical Publishers; 1965.
14. Alphin RS, Martens JR, Dennis DM. Frequency-dependent effects of propofol on atrioventricular nodal conduction in guinea pig isolated heart. Mechanism and potential antidysrhythmic properties. Anesthesiology. 1995;83:382-394.
15. Morey TE, Martynyuk AE, Napolitano CA, Raatikainen MJ, Guyton TS, Dennis DM. Ionic basis of the differential effects of intravenous anesthetics on erythromycin-induced prolongation of ventricular repolarization in the guinea pig heart. Anesthesiology. 1997;87:1172-1181.
16. Napolitano CA, Raatikainen MJ, Martens JR, Dennis DM. Effects of intravenous anesthetics on atrial wavelength and atrioventricular nodal conduction in guinea pig heart. Potential antidysrhythmic properties and clinical implications. Anesthesiology. 1996;85:393-402.
17. Novalija E, Fujita S, Kampine JP, Stowe DF. Sevoflurane mimics ischemic preconditioning effects on coronary flow and nitric oxide release in isolated hearts. Anesthesiology. 1999;91:701-712.
18. Oliver RE, Jones AF, Rowland MA. Whole-body physiologically based pharmacokinetic model incorporating dispersion concepts: Short and long time characteristics. J Pharmacokinet Pharmacodyn. 2001;28:27-55.
19. Guyton AC. Textbook of Medical Physiology. 7th Edition. Philadelphia, PA: Saunders; 1986.
20. Stroh M, Zipfel WR, Williams RM, Webb WW, Saltzman WM. Diffusion of nerve growth factor in rat striatum as determined by multiphoton microscopy. Biophys J. 2003;85:581-588.
21. Altman PL, Katz DD, Grebe RM. Handbook of Circulation. Philadelphia, PA: Saunders; 1959.