Influence of secondary flow on diffusion with heterogeneous reaction

Chemical Engineering Journal

Volumn 92, Issue 1-3, 2003, Pages 15-26

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

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Curved tube; Interface transfer; Secondary flows; Spectral method; Wall absorption

Indexed keywords

DIFFUSION IN LIQUIDS; FINITE DIFFERENCE METHOD; FLUID DYNAMICS; TUBES (COMPONENTS);

SECONDARY FLOW;

NEWTONIAN FLOW;

DIFFUSION; HETEROGENEOUS MEDIUM; NEWTONIAN FLUID; SECONDARY FLOW;

EID: 0037447599     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1385-8947(02)00085-2     Document Type: Article

References (29)

1. S. Agrawal, G. Jayaraman, Numerical simulation of dispersion in the flow of power law fluids in curved tubes, Appl. Math. Model 18 (1994) 504-512.
2. V. Balasubramanian, G. Jayaraman, S.R.K. Iyengar, Effect of secondary flows on contaminant dispersion with weak boundary absorption, Appl. Math. Model 21 (1997) 275-285.
3. V. Balasubramanian, G. Jayaraman, S.R.K. Iyengar, Boundary retention effects upon contaminant dispersion in secondary flows, Communicated to ZAMM, 1998.
4. N.G. Barton, An asymptotic theory for dispersion of reactive contaminants in parallel flow, J. Aust. Math. Soc., Ser. B 25 (1984) 287-310.
5. S.A. Berger, L. Talbot, L.S. Yao, Flow in curved pipes, Ann. Rev. Fluid Mech. 15 (1983) 461-512.
6. T. Boddington, A.A. Clifford, The dispersion of a reactive species (atomic hydrogen) in a flowing gas, Proc. Roy. Soc. Lond. A 389 (1983) 179-196.
7. F.A. Cleland, R.H. Wilhelm, Diffusion and reaction in viscous flow tubular reactor, AIChE J. 24 (1956) 489-497.
8. A.A. Clifford, P. Gray, R.S. Mason, J.I. Waddicor, Measurement of the diffusion coefficients of reactive species in dilute gases, Proc. Roy. Soc. Lond. A 380 (1982) 241-258.
9. P. Daskopoulos, A.M. Lenhoff, Flow in curved ducts: bifurcation structure for stationary ducts, J. Fluid Mech. 203 (1989) 125-148.
10. R.H. Davis, Cross-flow microfiltration with backpulsing, in: W.K. Wang (Ed.), Membrane Separations in Biotechnology, 2nd Edition (Revised and Expanded), Marcel Dekker, New York, pp. 161-188.
11. W.R. Dean, Note on the motion of fluid in a curved pipe, Phil. Mag. 4 (1927) 208-223.
12. W.R. Dean, The stream line motion of fluid in a curved pipe, Phil. Mag. 5 (1928) 673-685.
13. E.V. Evans, C.N. Kenney, Gaseous dispersion in laminar flow through a circular tube with mass transfer to a retentive layer, Proc. Roy. Soc. Lond. A 284 (1965) 562-572.
14. W.N. Gill, M.S. Suwandi, Some aspects of isothermal laminar flow reactors, AIChE J. 9 (1963) 273-277.
15. R.V. Homsy, R.D. Strohman, Diffusion and chemical reaction in a tubular reactor with non-Newtonian laminar flow 17 (1) (1971) 215- 219.
16. C.J. Hsu, A method of solution for mass transfer with chemical reaction under conditions of viscous flow in a tubular reactor, AIChE J. 115 (1965) 938-940.
17. H. Ito, Flow in curved pipes (Review article), JSME Int. J. 30 (262) (1987) 543-552.
18. M. Johnson, R.D. Kamm, Numerical studies of steady flow dispersion at low Dean number in a gently curving tube, J. Fluid Mech. 172 (1986) 329-345.
19. G. Jayaraman, T.J. Pedley, A. Goyal, Dispersion of solute in a solvent flowing through a curved tube with absorbing walls, Q. J. Mech. Appl. Math. 51 (1998) 577-598.
20. E.M. Lungu, H.K. Moffat, The effect of wall conductance on heat diffusion in duct flow, J. Eng. Math. 16 (1982) 121-136.
21. R.A. Mashelkar, Applicability of axial dispersion model for non- Newtonian flow tubular reactors, Can. J. Chem. Eng. 51 (1973) 613-615.
22. R.A. Mashelkar, C.V. Venkatasubramanian, Influence of secondary flow on diffusion with reaction, AIChE J. 313 (1985) 440-449.
23. A. Purnama, Boundary retention effects upon contaminant dispersion in parallel flows, J. Fluid Mech. 195 (1988) 393-412.
24. I.C. Plumb, K.R. Ryan, Method of measurement of diffusion coefficients of labile gas phase species: the diffusion coefficient of O(3P) in He at 294 K, Int. J. Chem. Kin. 15 (1983) 1081-1097.
25. K.K. Raju, S.L. Rathna, Heat transfer for the flow of a power law fluid in a curved tube, J. Ind. Inst. Sci. 52 (1970) 34.
26. A. Shankar, A. Lenhoff, Dispersion and partitioning in short coated tubes, Ind. Eng. Chem. Res. 30 (5) (1991) 828-835.
27. R. Sankarasubramanian, W.N. Gill, Unsteady convective diffusion with interphase mass transfer, Proc. Roy. Soc. Lond. A 333 (1973) 115-132.
28. R. Smith, Effects of boundary absorption upon longitudinal dispersion in shear flows, J. Fluid Mech. 134 (1983) 161-177.
29. G.I. Taylor, Dispersion of soluble matter in a solvent flowing slowly through a tube, Proc. Roy. Soc. Lond. A 219 (1953) 186-203.