Abstract
This work spands in the connection between Taylor dispersion and the thermodynamics of irreversible processes by proving that the Taylor dispersion flux is a dissipative flux of extended irreversible thermodynamics. We also show a purely coarse- grained model for Taylor dispersion based on extended irreversible thermodynamics which captures the main features of Taylor dispersion along all the time scale: asymptotic diffusive behaviour, transient anisotropy, incorporation of transverse initial conditions, and transition to irreversibility.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Taylor, G.I. (1953) Proc. R. Soc. London, Ser. A 219, 186; (1954) A 223, 446.
Aris, R. (1956) Proc. R. Soc. London, Ser. A 235, 67.
Alizadeh, A., Nieto de Castro, C.A., and Wakeham, W.A. (1980) Int. Journal Thermophys. 1, 243; Alizadeh, A. and Wakeham, W.A. (1982) Int. Journal Thermophys. 3, 307; Castillo, R., Domínguez, H.C. and Costas, M. (1990) J. Phys. Chem. 94, 8731.
Chatwin, P.C. and Allen, C.M. (1985) Ann. Rev. Fluid Mech. 17, 119.
Brenner, H. and Edwards, D.A. (1993) Macrotransport Processes, Butterworth-Heinemann, Boston.
Frankel, I., Mancini, F. and Brenner, H (1991) J. Chem. Phys. 95, 8636.
Brenner, E1. (1979) J. Colloid Interface Sci. 71, 189; (1981) 80, 548.
Brenner, H. (1980) PhysicoChem. Hydrodyn. 1, 91; (1982) 3, 139.
Frankel, I. and Brenner, H. (1989) J. Fluid Mech. 204, 97.
Dill, L.H. and Brenner, H. (1982) J. Colloid Interface Sci. 85, 101.
Chatwin, P.C. (1970) J. Fluid Mech. 43, 321.
Gill, W.N. and Sankarasubramanian, R. (1970) Proc. R. Soc. London, Ser. A 316, 341; (1971) A 322, 101.
Maron, V. (1977) Int. J. Multiphase Flow 4, 339.
Smith, R. (1981) J. Fluid Mech. 105, 469; (1982) 182, 447.
Young, W.R. arid Jones, S. (1991) Phys. Fluids A 3, 1087; Smith, R. (1987) J. Fluid Mech. 175, 201.
Pagitsas, M., Nadim, A. arid Brenner, H. (1986) Physica 135 A, 533; (1986) J. Chem. Phys. 84, 2801; Pagitsas, M. (1989) PhysicoChem. Hydrodyn. 4, 467.
Van Den Broeck, C. (1982) Physica A 112, 343; (1990) 168, 677.
Jou, D., Casas-Vázquez, J. and Lebon G. (1993) Extended Irreversible Thermodynamics, Springer, Berlin; (1988) Rep. Prog. Phys. 51, 1105.
Carnacho, J. (1993) Phys. Rev. E 47, 1049.
Camacho, J. (1993) Phys. Rev. E 48, 1844.
de Groot, S.R. and Mazur, P. (1984) Nonequilibrium Thermodynamics, Dover, New York.
Kintchin, A. (1963) Mathematical Foundations of Information Theory, Dover, New York.
Carnacho, J. (1993) Phys. Rev. E 48, 310.
Jou, D., Camacho, J. and Grmela, M. (1991) Macromolecules 24, 3597.
Thacker, W.C. (1976) J. Phys. Oceanog. 6, 66.
Bacri, J.C., Bouchaud, J.P., Georges, A., Guyon, E., Hulin, J.P., Rakotomalala, N. and Salin, D. (1990), in J.P. Hulin et al. (eds.), Hydrodynamics of Dispersed Media, North-Holland, Amsterdam, pp.249.
Rigord, P. (1990) Ph.D. thesis, Université de Paris 6.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Camacho, J. (1996). Extended Thermodynamics and Taylor Dispersion. In: Shiner, J.S. (eds) Entropy and Entropy Generation. Understanding Chemical Reactivity, vol 18. Springer, Dordrecht. https://doi.org/10.1007/0-306-46932-4_5
Download citation
DOI: https://doi.org/10.1007/0-306-46932-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-4128-4
Online ISBN: 978-0-306-46932-9
eBook Packages: Springer Book Archive