Effect of aspect ratio on transverse diffusive broadening: A lattice Boltzmann study

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

Volumn 80, Issue 1, 2009, Pages

  Ayodele, S G ^a   Varnik, F ^a,b   Raabe, D ^a  

^a MAX PLANCK INSTITUT FÜR EISENFORSCHUNG GMBH   (Germany)

^b RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; KINETIC THEORY; MASS TRANSFER; SCALING LAWS;

DIFFUSIVE BEHAVIOR; FINITE ASPECT RATIO; INTRINSIC FEATURES; LATTICE BOLTZMANN; LATTICE BOLTZMANN METHOD; MASS TRANSFER EQUATIONS; SCALING EXPONENT; THREEDIMENSIONAL (3-D);

ASPECT RATIO;

EID: 68949195837     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.016304     Document Type: Article

References (25)

1. E. A. Lipman, B. Schuler, O. Bakajin, and W. A. Eaton, Science 301, 1233 (2003). 10.1126/science.1085399
2. G. H. Seong, J. Heo, and R. M. Crooks, Anal. Chem. 75, 3161 (2003). 10.1021/ac034155b
3. David J. Beebe, Glennys A. Mensing, and Glenn M. Walker, Annu. Rev. Biomed. Eng. 4, 261 (2002). 10.1146/annurev.bioeng.4.112601.125916
4. A. E. Kamholz, B. H. Weigl, B. A. Finlayson, and P. Yager, Anal. Chem. 71, 5340 (1999). 10.1021/ac990504j
5. R. F. Ismagilov, A. D. Strock, P. J. A. Kennis, G. Whitesides, and H. A. Stone, Appl. Phys. Lett. 76, 2376 (2000). 10.1063/1.126351
6. M. A. Lévêque, Ann. Mines 13, 201 (1928).
7. A. E. Kamholz and P. Yager, Sens. Actuators B 82, 117 (2002). 10.1016/S0925-4005(01)00990-X
8. J.-B. Salmon and A. Adjari, J. Appl. Phys. 101, 074902 (2007). 10.1063/1.2714773
9. J. Jiménez, J. Fluid Mech. 535, 245 (2005). 10.1017/ S0022112005004994
10. P. Gondret, N. Rakotomalala, M. Rabaud, D. Salin, and P. Watzky, Phys. Fluids 9, 1841 (1997). 10.1063/1.869301
11. X. Zheng and S.-L. Zhan-hua, Exp. Fluids 44, 951 (2008). 10.1007/s00348-007-0454-4
12. Y. H. Qian, D. d'Humières, and P. Lallemand, Europhys. Lett. 17, 479 (1992). 10.1209/0295-5075/17/6/001
13. F. Varnik and D. Raabe, Modell. Simul. Mater. Sci. Eng. 14, 857 (2006). 10.1088/0965-0393/14/5/004
14. F. Varnik, D. Dorner, and D. Raabe, J. Fluid Mech. 573, 191 (2007). 10.1017/S0022112006003715
15. F. Varnik and D. Raabe, Mol. Simul. 33, 583 (2007). 10.1080/ 08927020601030456
16. G. R. McNamara and G. Zanetti, Phys. Rev. Lett. 61, 2332 (1988). 10.1103/PhysRevLett.61.2332
17. F. Higuera, S. Succi, and R. Benzi, Europhys. Lett. 9, 345 (1989). 10.1209/0295-5075/9/4/008
18. S. Succi, The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond (Oxford University Press, Oxford, 2001).
19. R. Rubinstein and L. S. Luo, Phys. Rev. E 77, 036709 (2008). 10.1103/PhysRevE.77.036709
20. U. Frisch, D. d'Huimères, B. Hasslacher, P. Lallemand, Y. Pomeau, and J.-P. Rivet, Complex Syst. 1, 649 (1987).
21. J. M. V. A. Koelman, Europhys. Lett. 15, 603 (1991). 10.1209/0295-5075/ 15/6/007
22. H. Schlichting, Boundary-Layer Theory (McGraw Hill, London, 1958).
23. The dependence on x, however, can be neglected after a length on the order of W, necessary for the establishment of a fully developed flow profile across the channel.
24. J. Mathews and R. L. Walker, Mathematical Methods of Physics, 2nd ed. (Addison-Wesley, Reading, MA, 1970).
25. J. Crank, The Mathematics of Diffusion (Oxford University Press, London, 1956).