Peristaltic particle transport using the lattice Boltzmann method

Physics of Fluids

Volumn 21, Issue 5, 2009, Pages

  Connington, Kevin ^a,b   Kang, Qinjun ^b   Viswanathan, Hari ^b   Abdel Fattah, Amr ^b   Chen, Shiyi ^a,c  

^a Johns Hopkins University   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; DEFORMATION; FLOW OF FLUIDS; KINETIC THEORY; PARTICLE SEPARATORS; PRESSURE GRADIENT; REYNOLDS NUMBER; SHEAR STRESS;

DIMENSIONLESS PARAMETERS; FAVORABLE PRESSURE GRADIENTS; INTERNAL FLUID FLOWS; LATTICE BOLTZMANN METHOD; MACROSCOPIC PARTICLES; MECHANICAL MOVING PARTS; PERISTALTIC TRANSPORT; TWO DIMENSIONAL CHANNELS;

TRANSPORT PROPERTIES;

EID: 66849132538     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3111782     Document Type: Article

References (56)

1. A. H. Shapiro, M. Y. Jaffrin, and S. L. Weinberg, "Peristaltic pumping with long wavelengths at low Reynolds number," J. Fluid Mech. JFLSA70022-112010.1017/S0022112069000899 37, 799 (1969).
2. Y. C. Fung and C. S. Yih, "Peristaltic transport," ASME J. Appl. Mech. JAMCAV0021-8936 35, 669 (1968).
3. C. Barton and S. Raynor, "Peristaltic flow in tubes," Bull. Math. Biophys. BMBIAO0007-4985 30, 663 (1968).10.1007/BF02476682
4. H. S. Maia and E. M. Coutinho, "Peristalsis and antiperistalsis of the human fallopian tube during the menstrual cycle," Biol. Reprod. BIREBV0006-3363 2, 305 (1970).10.1095/biolreprod2.2.305
5. M. Hanin, "the flow through a channel due to transversally oscillating walls," Isr. J. Technol. ISJTAC0021-2202 6, 67 (1968).
6. J. C. Burns and T. Parkes, "Peristaltic motion," J. Fluid Mech. JFLSA70022-112010.1017/S0022112067001156 29, 731 (1967).
7. T. F. Zien and S. Ostrach, "A long wave approximation to peristaltic motion," J. Biomech. JBMCB50021-929010.1016/ 0021-9290(70)90051-5 3, 63 (1970).
8. P. Tong and D. Vawter, "An analysis of peristaltic pumping," ASME J. Appl. Mech. JAMCAV0021-8936 39, 857 (1972).
9. P. S. Lykoudis and R. Roos, "The fluid mechanics of the ureter from a lubrication theory point of view," J. Fluid Mech. JFLSA70022-112010.1017/S0022112070002653 43, 661 (1970).
10. M. Y. Jaffrin and A. H. Shapiro, "Peristaltic pumping," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fl.03.010171.000305 3, 13 (1971).
11. F. C. P. Yin and Y. C. Fung, "Comparison of theory and experiment in peristaltic transport," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112071000958 47, 93 (1971).
12. S. L. Weinberg, E. C. Eckstein, and A. H. Shapiro, "An experimental study of peristaltic pumping," J. Fluid Mech. JFLSA70022-1120 49, 461 (1971).10.1017/S0022112071002209
13. T. K. Hung and T. D. Brown, "Solid-particle motion in two-dimensional peristaltic flows," J. Fluid Mech. JFLSA70022-1120 73, 77 (1976).10.1017/S0022112076001262
14. T. D. Brown and T. K. Hung, "Computational and experimental investigations of two-dimensional nonlinear peristaltic flows," J. Fluid Mech. JFLSA70022-112010.1017/S0022112077001189 83, 249 (1977).
15. S. Takabatake and K. Ayukawa, "Numerical study of two-dimensional peristaltic flows," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112082002304 122, 439 (1982).
16. C. Pozrikidis, "A study of peristaltic flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112087001939 180, 515 (1987).
17. K. P. Selverov and H. A. Stone, "Peristaltically driven channel flows with applications toward micromixing," Phys. FluidsPHFLE61070-663110.1063/1.1377616 13, 1837 (2001).
18. M. Yi, H. H. Bau, and H. Hu, "Peristaltically induced motion in a closed cavity with two vibrating walls," Phys. Fluids PHFLE61070-663110.1063/1.1425841 14, 184 (2002).
19. S. Kumar, H. Kim, and A. Beskok, "Numerical simulations of peristaltic mixing," J. Fluids Eng. JFEGA40098-2202 129, 1361 (2007).10.1115/1.2786480
20. V. P. Srivastava and L. M. Srivastava, "Effects of Poiseuille flow on peristaltic transport of a particulate suspension," ZAMP ZAMPDB0044-227510.1007/BF00949072 46, 655 (1995).
21. Kh. S. Mekheimer, E. F. El Shehawey, and A. M. Elaw, "Peristaltic motion of a particle-fluid suspension in a planar channel," Int. J. Theor. Phys. IJTPBM0020-774810.1023/A:1026657629065 37, 2895 (1998).
22. R. Usha, S. Senthilkumar, and E. G. Tulapurkara, "Numerical study of particulate suspension flow through wavy-walled channels," Int. J. Numer. Methods Fluids IJNFDW0271-209110.1002/fld.1115 51, 235 (2006).
23. M. Li and J. G. Brasseur, "Non-steady peristaltic transport in finite-length tubes," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112093000710 248, 129 (1993).
24. L. J. Fauci, "Peristaltic pumping of solid particles," Comput. FluidsCPFLBI0045-793010.1016/0045-7930(92)90008-J 21, 583 (1992).
25. C. K. Aidun and Y. Lu, "Lattice Boltzmann simulation of solid particles suspended in fluid," J. Stat. Phys.JSTPBS0022-471510.1007/ BF02179967 81, 49 (1995).
26. D. Yu, R. Mei, L. S. Luo, and W. Shyy, "Viscous flow computations with the method of lattice Boltzmann equation," Prog. Aerosp. Sci. PAESD60376-042110.1016/S0376-0421(03)00003-4 39, 329 (2003).
27. A. J. C. Ladd, "Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112094001771 271, 285 (1994).
28. S. Chen and G. D. Doolen, "Lattice Boltzmann method for fluid flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/ annurev.fluid.30.1.329 30, 329 (1998).
29. U. Frisch, D. d'Humières, B. Hasslacher, P. Lallemand, Y. Pomeau, and J. P. Rivet, "Lattice gas hydrodynamics in two and three dimensions," Complex Syst. CPSYEN0891-2513 1, 649 (1987).
30. G. R. McNamara and G. Zanetti, "Use of the Boltzmann equation to simulate lattice-gas automata," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.61.2332 61, 2332 (1988).
31. H. Chen, S. Chen, and W. H. Matthaeus, "Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method," Phys. Rev. A PLRAAN1050-294710.1103/PhysRevA.45.R5339 45, R5339 (1992).
32. P. L. Bhatnagar, E. P. Gross, and M. Krook, "A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems," Phys. Rev. PRVAAH0096-825010.1103/ PhysRev.94.511 94, 511 (1954).
33. Y. H. Qian, D. D'Humières, and P. Lallemand, "Lattice BGK models for Navier-Stokes equation," Europhys. Lett. EULEEJ0295-507510.1209/0295-5075/17/6/001 17, 479 (1992).
34. X. He and L. S. Luo, "Lattice Boltzmann model for the incompressible Navier-Stokes equation," J. Stat. Phys. JSTPBS0022-471510.1023/B:JOSS.0000015179.12689.e4 88, 927 (1997).
35. A. J. C. Ladd, "Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results," J. Fluid Mech. JFLSA70022-112010.1017/S0022112094001783 271, 311 (1994).
36. O. Filippova and D. Hänel, "Lattice-Boltzmann simulation of gas-particle flow in filters," Comput. Fluids CPFLBI0045-793010.1016/S0045-7930(97)00009-1 26, 697 (1997).
37. R. Mei, L. S. Luo, and W. Shyy, "An accurate curved boundary treatment in the lattice Boltzmann method," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1999.6334 155, 307 (1999).
38. M. Junk and Z. Yang, "One-point boundary condition for the lattice Boltzmann method," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.72.066701 72, 066701 (2005).
39. Z. Xia, K.W. Connington, S. Rapaka, P. Yue, J. Fang, and S. Chen, "Flow patterns in the sedimentation of an elliptical particle," J. Fluid Mech. JFLSA70022-1120 625, 249 (2009).10.1017/ S0022112008005521
40. C. K. Aidun, Y. Lu, and E. J. Ding, "Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112098002493 373, 287 (1998).
41. S. Chen, D. Martínez, and R. Mei, "On boundary conditions in lattice Boltzmann methods," Phys. Fluids PHFLE61070-663110.1063/ 1.869035 8, 2527 (1996).
42. H. Fang, Z. Wang, Z. Lin, and M. Liu, "Lattice Boltzmann method for simulating the viscous flow in large distensible blood vessels," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.65.051925 65, 051925 (2002).
43. R. Mei, D. Yu, W. Shyy, and L. S. Luo, "Force evaluation in the lattice Boltzmann method involving curved geometry," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.65.041203 65, 041203 (2002).
44. H. Li, H. Fang, Z. Lin, S. Xu, and S. Chen, "Lattice Boltzmann simulation on particle suspensions in a two-dimensional symmetric stenotic artery," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.69.031919 69, 031919 (2004).
45. H. Li, X. Lu, H. Fang, and Y. Qian, "Force evaluations in lattice Boltzmann simulations with moving boundaries in two dimensions," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.70.026701 70, 026701 (2004).
46. M. Allen and D. Tildesley, Computer Simulation of Liquids (Clarendon, Oxford, 1987).
47. R. Glowinski, T. Pan, T. Hesla, D. Joseph, and J. Periaux, "A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow," J. Comput. Phys. JCTPAH0021-999110.1006/ jcph.2000.6542 169, 363 (2001).
48. Z. Feng and E. Michaelides, "The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2003.10.013 195, 602 (2004).
49. G. Taylor, "Analysis of the swimming of microscopic organisms," Proc. R. Soc. London, Ser. A PRLAAZ0950-120710.1098/ rspa.1951.0218 209, 447 (1951).
50. M. Y. Jaffrin, "Inertia and streamline curvature effects on peristaltic pumping," Int. J. Eng. Sci. IJESAN0020-722510.1016/ 0020-7225(73)90029-3 11, 681 (1973).
51. D. L. Koch and A. J. C. Ladd, "Moderate Reynolds number flows through periodic and random arrays of aligned cylinders," J. Fluid Mech. JFLSA70022-1120 349, 31 (1997).10.1017/S002211209700671X
52. A. Ferrante and S. Elghobashi, "On the physical mechanisms of two-way coupling in particle-laden isotropic turbulence," Phys. Fluids PHFLE61070-663110.1063/1.1532731 15, 315 (2003).
53. T. C. Hung, R. M. Hochmuth, J. H. Joist, and S. P. Sutera, "Shear-induced aggregation and lysis of platelets," Trans. Am. Soc. Artif. Intern. Organs TAIOAL0066-0078 22, 285 (1976).
54. T. Inamuro, K. Maeba, and F. Ogino, "Flow between parallel walls containing the lines of neutrally buoyant circular cylinders," Int. J. Multiphase Flow IJMFBP0301-932210.1016/S0301-9322(00)00007-0 26, 1981 (2000).
55. A. M. M. Artoli, "Mesoscopic computational haemodynamics," Ph.D. thesis, University of Amsterdam, October 2003.
56. Z. Guo, C. Zheng, and B. Shi, "Discrete lattice effects on the forcing term in the lattice Boltzmann method," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.65.046308 65, 046308 (2002).