Effect of secondary flows on contaminant dispersion with weak boundary absorption

Applied Mathematical Modelling

Volumn 21, Issue 5, 1997, Pages 275-285

  Balasubramanian, Vidhya ^a   Jayaraman, Girija ^a   Iyengar, S R K ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Boundary absorption; Curved tube; Dispersion; Perturbation method; Secondary flows; Spectral method

Indexed keywords

ABSORPTION; IMPURITIES; INTERFACES (MATERIALS); LAMINAR FLOW; MATHEMATICAL MODELS; NUMERICAL METHODS; PERTURBATION TECHNIQUES; SPECTRUM ANALYSIS;

CONTAMINANT DISPERSION; TAYLOR ANALYSIS; WEAK WALL ABSORPTION;

DISPERSIONS;

EID: 0031140692     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0307-904X(97)00015-2     Document Type: Article

References (30)

1. Taylor, G. I. Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Lond. A 1953, 219, 186-203
2. Ananthakrishnan, V., Gill, W. N., and Barduhn, A. J. Laminar dispersion in capillaries: Part 1, Mathematical analysis. AICHE J. 1965, 11(6), 1063-1072
3. Aris, R. On the dispersion of a solute in a fluid flowing through a tube. Proc. R. Soc. Lond. A 1956, 235, 67-77
4. Aris, R. On the dispersion of a solute by diffusion, convection and exchange between phases, Proc. R. Soc. Lond. A 1959, 252, 538-550
5. DeGance, A. E. and Johns, L. E. On the construction of dispersion approximations to the solution of the convective diffusion equation. AICHE J. 1980, 26(3), 411-419
6. Barton, N. G. An asymptotic theory for dispersion of reactive contaminants in parallel flow. J. Austral. Math. Soc., Ser. B 1984, 25, 287-310
7. Phillips, C. G., Kaye, S. R., and Robinson, C. D. Time dependent transport by convection and diffusion with exchange between two phases. J. Fluid Mech. 1995, 297, 373-401
8. Davidson, M. R. and Schroter, R. C. A theoretical model of absorption of gases by the bronchial wall. J. Fluid Mech. 1983, 129, 313-335
9. Lungu, E. M. and Moffat, H. K. The effect of wall conductance on heat diffusion in duct flow. J. Eng. Math. 1982, 16, 121-136
10. Sankarasubramanian, R. and Gill, W. N. Unsteady convective diffusion with interphase mass transfer. Proc. R. Soc. Lond. A 1973, 333, 115-132
11. Sankarasubramanian, R. and Gill, W. N. Correction to unsteady convective diffusion with interphase mass transfer. Proc. R. Soc. Lond. A 1974, 341, 407-408
12. Jiang, Y. and Grotberg, J. B. Bolus contaminant dispersion in oscillatory tube flow with conductive walls. J. Biochem. Eng. 1993, 115, 424-431
13. Evans, E. V. and Kenney, C. N. Gaseous dispersion in laminar flow through a circular tube with mass transfer to a retentive layer. Proc. R. Soc. Lond. A 1965, 284, 562-572
14. Clifford, A. A., Gray, P., Mason, R. S., and Waddicor, J. I. Measurement of the diffusion coefficients of reactive species in dilute gases. Proc. R. Soc. Lond. A 1982, 380, 241-258
15. Gupta, P. S. and Gupta, A. S. Effect of homogeneous and heterogeneous reactions on the dispersion of a solute in laminar flow between two parallel plates. Proc. R. Soc. Lond. A 1972, 330, 59-63
16. Shankar Subramanian, R., Gill, W. N., and Marra, R. A. Dispersion models of unsteady tubular reactors. Can. J. Chem. Eng. 1974, 52, 563-568
17. Shapiro, M. and Brenner, H. Taylor dispersion of chemically reactive species: Irreversible first order reactions in bulk and on boundaries. Chem. Eng. Sci. 1986, 41, 1417-1433
18. Shapiro, M. and Brenner, H. Chemically reactive generalized Taylor dispersion phenomena, AICHE J. 1987, 33, 1155-1167
19. Purnama, A. Boundary retention effects upon contaminant dispersion in parallel flows. J. Fluid Mech. 1988, 195, 393-412
20. Lenhoff, A. M. and Lightfoot, E. N. Convective dispersion and interphase mass transfer. Chem. Eng. Sci. 1986, 41, 2795-2810
21. Smith, R. Effects of boundary absorption upon longitudinal dispersion in shear flows. J. Fluid Mech. 1983, 134, 161-177
22. Erdogan, M. E. and Chatwin, P. C. The effects of curvature and buoyancy on the laminar dispersion of solute in a horizontal tube. J. Fluid Mech. 1967, 29, 465-484
23. Janssen, L. A. M. Axial dispersion in laminar flow through coiled tubes. Chem. Eng. Sci. 1976, 31, 215-218
24. Johnson, M. and Kamm, R. D. Numerical studies of steady flow dispersion at low Dean number in a gently curving tube. J. Fluid Mech. 1986, 172, 329-345
25. Agrawal, S. and Jayaraman, G. Numerical simulation of dispersion in the flow of power law fluids in curved tubes. Appl. Math. Modelling 1994, 18, 504-511
26. Jayaraman, G., Pedley, T. J., and Goyal, A. Dispersion of solute in a solvent flowing through a curved tube with absorbing walls. QJMAM (To appear)
27. Dean, W. R. Note on the motion of fluid in a curved pipe. Phil. Mag. 1927, 4, 208-223
28. Dean, W. R. The stream line motion of fluid in a curved pipe. Phil. Mag. 1928, 5, 673-685.
29. Boddington, T. and Clifford, A. A. The dispersion of a reactive species (atomic hydrogen) in a flowing gas. Proc. R. Soc. Lond. A 1983, 389 179-196
30. Balasubramanian, V., Jayaraman, G., Iyengar, S. R. K. Boundary retention effects upon contaminant dispersion in secondary flows. 1997, (communicated)