Heat and mass transport in nonhomogeneous random velocity fields

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 6 2, 2003, Pages 663061-663069

  Mauri, Roberto ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; COMPRESSIBLE FLOW; DIFFUSION; HEAT CONVECTION; LAMINAR FLOW; MASS TRANSFER; TENSORS; TURBULENCE;

PASSIVE TRACERS; TRACER DRIFT VELOCITY;

HEAT FLUX;

EID: 1442330338     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. A.S. Monin and A.M. Yaglom, Statistical Fluid Mechanics: Mechanics of Turbulence (MIT Press, Cambridge, MA, 1971), Vol. 1, pp. 540-547 and 591-606.
2. L. Biferale, A. Crisanti, M. Vergassola, and A. Vulpiani, Phys. Fluids 7, 2725 (1995).
3. P. Castiglione, A. Crisanti, A. Mazzino, M. Vergassola, and A. Vulpiani, J. Phys. A 31, 7197 (1998).
4. P. Castiglione and A. Crisanti, Phys. Rev. E 59, 3926 (1999).
5. S. Whitaker, Chem. Eng. Sci. 28, 139 (1973).
6. A. Bensoussan, J.L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures (North-Holland, Amsterdam, 1978).
7. H. Brenner, Philos. Trans. R. Soc. London, Ser. A 297, 81 (1980).
8. H. Brenner and P.M. Adler, Philos. Trans. R. Soc. London, Ser. A 307, 149 (1982).
9. D.L. Koch and J.F. Brady, J. Fluid Mech. 154, 399 (1985).
10. D.L. Koch and J.F. Brady, J. Fluid Mech. 180, 387 (1987).
11. J. Rubinstein and R. Mauri, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 46, 1018 (1986).
12. R. Mauri, Phys. Fluids 7, 275 (1995).
13. R. Mauri, J. Eng. Math. 29, 77 (1995).
14. M. Shapiro and H. Brenner, Chem. Eng. Sci. 41, 1417 (1986).
15. S. Haber and R. Mauri, J. Fluid Mech. 190, 201 (1989).
16. R. Mauri and S. Haber, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 51, 1538 (1991).
17. H. Brenner and D.A. Edwards, Macrotransport Processes (Butterworth-Heinemann, New York, 1993).
18. M. Vergassola and M. Avellaneda, Physica D 106, 148 (1997).
19. M. Shapiro and H. Brenner, Chem. Eng. Sci. 43, 551 (1988).
20. R. Mauri, Phys. Fluids A 3, 743 (1991).
21. S.B. Pope, Turbulent Flows (Cambridge University Press, New York, 2000), pp. 480-482.
22. D.A. Edwards, M. Shapiro, and H. Brenner, Phys. Fluids A 5, 837 (1993).
23. E. Sanchez-Palencia, Nonhomogeneous Media and Vibration Theory (Springer-Verlag, Berlin, 1980).
24. J. Rubinstein and J.B. Keller, Phys. Fluids 1, 1632 (1989).
25. M. Marchioro and A. Acrivos, J. Fluid Mech. 443, 101 (2001).
26. A. Mazzino, Phys. Rev. E 56, 5500 (1997).
27. S.R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics (Dover, New York, 1961), pp. 100-106.
28. R. Kubo, M. Toda, and N. Hashitsume, Statistical Physics II. Nonequilibrium Statistical Mechanics (Springer-Verlag, Berlin, 1991), pp. 62-69.
29. R. Mauri, Phys. Fluids 15, 1888 (2003).