An analytical study of heat-transfer efficiency in laminar counterflow concentric circular tubes with external refluxes

Chemical Engineering Science

Volumn 58, Issue 7, 2003, Pages 1235-1250

  Ho, Chii Dong ^a   Yang, Wen Yi ^a  

^a TAMKANG UNIVERSITY   (Taiwan)

Author keywords

Concentric circular tubes; Conjugated Graetz problem; External refluxes; Orthogonal expansion techniques

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; EXPANSION; HEAT TRANSFER; LAMINAR FLOW;

COUNTERFLOW HEATERS;

TUBES (COMPONENTS);

ANALYTICAL MODEL; COUNTERCURRENT FLOW; HEAT TRANSFER; LAMINAR FLOW; PIPE;

EID: 0037379892     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(02)00653-X     Document Type: Article

References (24)

1. Atenas, M., Clark, M., & Lazarova, V. (1999). Holdup and liquid circulation velocity in a rectangular air-lift bioreactor. Industrial and Engineering Chemistry Research, 38 944.
2. Brown, G. M. (1960). Heat or mass transfer in a fluid in laminar flow in a circular or flat conduit. A.I.Ch.E. Journal, 6 179.
3. Dang, V-D., & Steinberg, M. (1980). Convective diffusion with homogeneous and heterogeneous reaction in a tube. Journal of Physical Chemistry, 84 214.
4. Davis, E. J., & Venkatesh, S. (1979). The solution of conjugated multiphase heat and mass transfer problems. Chemical Engineering Science, 34 775.
5. Ebadian, M. A., & Zhang, H. Y. (1989). An exact solution of extended Graetz problem with axial heat conduction. International Journal of Heat and Mass Transfer, 32 1709.
6. Garcia-Calvo, E., Rodriguez, A., Prados, A., & Klein, J. (1998). Fluid dynamic model for three-phase airlift reactors. Chemical Engineering Science, 54 2359.
7. Goto, S., & Gaspillo, P. D. (1992). Effect of static mixer on mass transfer in draft tube bubble column and in external loop column. Chemical Engineering Science, 47 3533.
8. Ho, C. D., Yeh, H. M., & Sheu, W. S. (1998). An analytical study of heat and mass transfer through a parallel-plate channel with recycle. International Journal of Heat and Mass Transfer, 41 2589.
9. Kikuchi, K. I., Takahashi, H., Takeda, Y., & Sugawara, F. (1999). Hydrodynamic behavior of single particles in a draft-tube bubble column. Canadian Journal of Chemical Engineering, 77 573.
10. Kim, S. S., & Cooney, D. O. (1976). Improved theory for hollow-fiber enzyme reactor. Chemical Engineering Science, 31 289.
11. Korpijarvi, J., Oinas, P., & Reunanen, J. (1998). Hydrodynamics and mass transfer in airlift reactor. Chemical Engineering Science, 54 2255.
12. Murkerjee, D., & Davis, E. J. (1972). Direct-contact heat transfer immiscible fluid layers in laminar flow. A.I.Ch.E. Journal, 18, 94.
13. Nunge, R. J., & Gill, W. N. (1966). An analytical study of laminar counterflow double-pipe heat exchangers. A.I.Ch.E. Journal, 12, 279.
14. Nunge, R. J., Porta, E. W., & Gill, W. N. (1967). Axial conduction in the fluid streams of multistream heat exchangers. Chemical Engineering Progress: Symposium Series, 63, 80.
15. Papoutsakis, E., & Ramkrishna, D. (1981a). Conjugated Graetz problems. I: General formalism and a class of solid-fluid problems. Chemical Engineering Science, 36, 1381.
16. Papoutsakis, E., & Ramkrishna, D. (1981b). Conjugated Graetz problems. II: Fluid-fluid problems. Chemical Engineering Science, 36, 1393.
17. Perelman, T. L. (1961). On conjugated problems of heat transfer. International Journal of Heat and Mass Transfer, 3, 293.
18. Santacesaria, E., Serio, M. Di., & Iengo, P. (1999). Mass transfer and kinetics in ethoxylation spray tower loop reactors. Chemical Engineering Science, 54, 1499.
19. Shah, R. K., & London, A. L. (1978). Laminar flow forced convection in ducts (pp. 196-207). New York: Academic Press.
20. Singh, S. N. (1958). The determination of eigen-functions of a certain Sturm-Liouville equation and its application to problems of heat-transfer. Applied Science Research, Section A, 32, 237.
21. Tsai, S. W., & Yeh, H. M. (1985). A study of the separation efficiency in horizontal thermal diffusion columns with external refluxes. Canadian Journal of Chemical Engineering, 63, 406.
22. Yeh, H. M., Tsai, S. W., & Chiang, C. L. (1987). Recycle effects on heat and mass transfer through a parallel-plate channel. A.I.Ch.E. Journal, 33, 1743.
23. Yeh, H. M., Tsai, S. W., & Lin, C. S. (1986). A study of the separation efficiency in thermal diffusion columns with a vertical permeable barrier. A.I.Ch.E. Journal, 32, 971.
24. Yin, X., & Bau, H. H. (1996). The conjugated Graetz problem with axial conduction. Transactions on ASME, 118, 482.