Numerical study of particulate suspension flow through wavy-walled channels

International Journal for Numerical Methods in Fluids

Volumn 51, Issue 3, 2006, Pages 235-259

  Usha, R ^a   Senthilkumar, S ^a   Tulapurkara, E G ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

Author keywords

Particulate suspension flow; Peristaltic motion; Shooting technique; Wavy walled channel

Indexed keywords

BOUNDARY CONDITIONS; CHANNEL FLOW; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; SHEAR STRESS; WALL FLOW;

PARTICULATE SUSPENSION FLOW; PERISTALTIC MOTION; SHOOTING TECHNIQUE; WAVY-WALLED CHANNEL;

SUSPENSIONS (FLUIDS);

BOUNDARY CONDITIONS; CHANNEL FLOW; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; REYNOLDS NUMBER; SHEAR STRESS; SUSPENSIONS (FLUIDS); WALL FLOW;

EID: 33646464227     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1115     Document Type: Article

References (45)

1. Burns JC, Parkes T. Peristaltic motion. Journal of Fluid Mechanics 1967; 29:731-743.
2. Shapiro AH, Jaffrin MY, Weinberg SL. Peristaltic pumping with long wavelengths at low Reynolds numbers. Journal of fluid Mechanics 1969; 37:799-825.
3. Fung YC, Yih CS. Peristaltic transport. Journal of Applied Mechanics (ASME) 1968; 33:669-675.
4. Chow TS. Peristaltic transport in a circular cylinder pipe. Journal of Applied Mechanics - Transactions of the ASME 1970; 37:901-905.
5. Takabatake S, Ayukawa K. Numerical study of two-dimensional peristaltic flows. Journal of Fluid Mechanics 1982; 122:439-465.
6. Takabatake S, Ayukawa K, Mori A. Peristaltic pumping in circular cylinder tubes: a numerical study of fluid transport and its efficiency. Journal of Fluid Mechanics 1988; 193:269-283.
7. Misra JC, Pandey SK. Peristaltic transport in a tapered tube. Mathematical and Computer Modelling 1995; 22:137-151.
8. Selvarajan S, Tulapurkara EG, Vasanta Ram V. A numerical study of flow through wavy walled channels. International Journal for Numerical Methods in Fluids 1998; 26:519-531.
9. Selvarajan S, Tulapurkara EG, Vasanta Ram V. Stability characteristics of wavy walled channel flows. Physics of Fluids 1999; 11:579-589.
10. Hung TK, Brown TD. Solid-particle motion in two dimensional peristaltic flows. Journal of Fluid Mechanics 1976; 73:77-96.
11. Kaimal MR. Peristaltic pumping of a Newtonian fluid with particles suspended in it at low Reynolds number under long wavelength approximation. Journal of Applied Mechanics - Transactions of the ASME 1978; 45:32-36.
12. Srivastava LM, Srivastava VP. Peristaltic transport of a particle-fluid suspension. Journal of Biomechanical Engineering-Transactions of the ASME 1989; 111:157-165.
13. Misra JC, Pandey SK. Peristaltic transport of a particle-fluid suspension in a cylindrical tube. Computers and Mathematics with Applications 1994; 28:131-145.
14. Marble FE. Dynamics of dusty gases. Annual Review of Fluid Mechanics 1970; 2:397-446.
15. Ishii M. Thermo-Fluid Dynamic Theory of Two-Phase Flow. Eyrolles: Paris, 1975.
16. Soo SL. Particulates and Continuum: Multiphase Fluid Dynamics. Hemisphere: New York, 1989.
17. Berlemont A, Desjonqueres P, Gouesbet G. Particle Lagrangian simulation in turbulent flows. International Journal of Multiphase Flow 1990; 19:19-34.
18. Berlemont A, Grancher MS, Gouesbet G. On the Lagrangian simulation of turbulence influence on droplet evaporation. International Journal of Heat and Mass Transfer 1991; 34:2805-2812.
19. Di Giovanni PR, Lee SL. Impulsive motion in a particle-fluid suspension including particulate volume, density and migration effects. Journal of Applied Mechanics 1974; 41:35-41.
20. Drew DA. Application of general constitutive principles to the derivation of multidimensional two-phase flow equations. International Journal of Multiphase Flow 1979; 5:143-264.
21. Drew DA. Mathematical modeling of two-phase flow. Annual Review of Fluid Mechanics 1983; 15:261-291.
22. Tam CKW. The drag on a cloud of spherical particles in low Reynolds number flow. Journal of Fluid Mechanics 1969; 38:537-546.
23. Nayfeh AH. Oscillating two-phase flow through a rigid pipe. AIAA Journal 1966; 4:1868-1871.
24. Chamkha AJ. Hydromagnetic two-phase flow in a channel. International Journal of Engineering Science 1995; 33:437-446.
25. Chamkha AJ. Solutions for fluid-particle flow and heat transfer in a porous channel. International Journal of Engineering Science 1996; 34:1423-1439.
26. Jean TH, Peddieson J. One-dimensional equations and solutions for particulate suspension flows. International Journal of Engineering Science 1997; 35:803-818.
27. Apazidis N. On two-dimensional laminar flows of a particulate suspension in the presence of gravity field. International Journal of Multiphase Flow 1985; 11:675-698.
28. Usha R, Prema K. Interaction of peristaltic transport of a particle-fluid suspension with Poiseuille flow. Proceedings of ASME Fluid Engineering Conference, vol. FED-237, San Diego, U.S.A., 1996; 753-760.
29. Usha R, Prema K. Interaction of pulsatile and peristaltic transport induced flows of a particle-fluid suspension. Zeitschrift fiir Angewandte Mathematik und Mechanik 1998; 78:207-212.
30. Drew DA, Lahey RT. Phase distribution mechanisms in turbulent low-quality two-phase in a circular pipe. Journal of Fluid Mechanics 1982; 117:91-106.
31. Sinclair JL, Jackson R. Gas-particle flow in a vertical pipe with particle-particle interaction. American Institute of Chemical Engineers Journal 1989; 35:1473-1486.
32. Drew DA, Segal LA. Averaged equations for two-phase flows. Studies in Applied Mathematics 1971; 50: 233-245.
33. Batchelor GK. Transport properties of two-phase materials with random structure. Annual Review of Fluid Mechanics 1974; 6:277-285.
34. Batchelor GK. Diffusion of particles with hydrodynamics interaction. Journal of Fluid Mechanics 1976; 74:1-29.
35. Zuber N. On the dispered flow in the laminar flow regime. Chemical Engineering Science 1964; 19:897-903.
36. Saffman PG. The lift on a small sphere in a slow shear flow. Journal of Fluid Mechanics 1965; 22:385-400.
37. Rubinow SI, Keller JB. The transverse force on a spinning sphere moving in a viscous fluid. Journal of Fluid Mechanics 1965; 11:447-459.
38. Soo SL. Pipe flow of suspensions. Applied Scientific Research 1969; 21:68-84.
39. Charm SE, Kurland GS. Blood Flow and Micro-Circulation. Wiley: New York, 1974.
40. Jager W, Mikelic A. On the roughness-induced effective boundary conditions for a viscous flow. Journal of Differential Equations 2001; 170:96-122.
41. Achdou Y, Pironneau 0, Valentin F. Effective boundary conditions for laminar flows over periodic rough boundaries. Journal of Computational Physics 1998; 147:187-218.
42. Van Dyke M. Perturbation Methods in Fluid Mechanics. Parabolic Press: Stanford, CA, 1975.
43. Selvarajan S. Investigation of flow through wavy walled channels and its stability characteristics. Ph.D. Thesis, Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai, March 1998.
44. Scott MR, Watts HA. Computational solution of linear two-point boundary value problems via orthonormalization. SIAM Journal on Mathematical Analysis 1977; 14:40.
45. Canuto C, Hussaini MY, Quarteroni A, Zang TA. Spectral Methods in Fluid Dynamics. Springer: Heidelberg, 1988.