The effects of gravity modulation on fluid mixing. Part 1. Harmonic modulation

Journal of Fluid Mechanics

Volumn 562, Issue , 2006, Pages 445-475

  Siddavaram, V K ^a   Homsy, G M ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; DIFFUSION; GRAVITATION; MIXING; SHEAR FLOW;

FLUID MIXING; GRASHOF NUMBER; GRAVITY MODULATION;

FLUID DYNAMICS;

ASPECT RATIO; DIFFUSION; FLUID DYNAMICS; GRAVITATION; MIXING; SHEAR FLOW;

BOUSSINESQ EQUATION; DIFFUSION; FLOW STABILITY; INTERFACE; MIXING; SHEAR FLOW;

EID: 33748989554     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006001169     Document Type: Article

References (21)

1. Bergholz, R. F. 1978 Instability of steady natural convection in a vertical fluid layer. J. Fluid Mech. 84, 743-768.
2. Biringen, S. & Peltier, L. J. 1990 Numerical simulation of 3D Bénard convection with gravitational modulation. Phys. Fluids A 2, 754-760.
3. Chen, C. F. & Chen, W. Y. 1999 Effect of gravity modulation on the stability of convection in a vertical slot. J. Fluid Mech. 395, 327-344.
4. Christov, C. I. & Homsy, G. M. 2001 Nonlinear dynamics of two-dimensional convection in a vertically stratified slot with and without gravity modulation. J. Fluid Mech. 430, 335-360.
5. Drolet, F. & Viñals, J. 1997 Onset of oscillatory instabilites under stochastic modulation. Phys. Rev. E 56, 2649-2657.
6. Duval, W. M. B. 1992 The kinematics of buoyancy induced mixing. In Proc. 8th European Symposium on Materials and Fluid Sciences in Microgravity, pp. 855-861. ESA SP-333.
7. Duval, W. M. B. & Jacqmin, D. 1990 Interfacial dynamics of two fluids under an oscillating gravitational field. AIAA J. 28, 1933-1941.
8. Farooq, A. & Homsy, G. M. 1996 Linear and non-linear dynamics of a differentially heated slot under gravity modulation. J. Fluid Mech. 313, 1-38.
9. Gresho, P. M. & Sani, R. L. 1970 The effects of gravity modulation on the stability of a fluid layer. J. Fluid Mech. 40, 783-806.
10. Jules, K., Hrovat, K., Kelly, E., McPherson, K. & Reckart, T. 2002 International space station increment-2 microgravity environment summary report. Tech. Rep. 211335. NASA.
11. Lele, S. K. 1992 Compact finfite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16-42.
12. Lizée, A. & Alexander, J. 1997 Chaotic thermovibrational flow in a laterally heated cavity. Phys. Rev. E 56, 4152-4156.
13. Ottino, J. M. 1982 Description of mixing with diffusion and reaction in terms of the concept of material surfaces. J. Fluid Mech. 114, 83-103.
14. Ottino, J. M. 1989 The Kinematics of Mixing: Stretching, Chaos, and Transport. Cambridge University Press.
15. Radcliffe, M., Steffen, J. E., Cook, E. L., Miller, J. F. C. L. R., Drake, M. C., Schroeder, F. S. & Stevens, J. R. 1988 Organic crystals in low earth orbit. J. Cryst. Growth 92, 581-590.
16. Roache, P. J. 1982 Computational Fluid Dynamics. Hermosa.
17. Rogers, J. L., Schatz, M. F., Bougie, J. L. & Swift, J. B. 2000 Rayleigh-Benard convection in avertically oscillated fluid layer. Phys. Rev. Lett. 84, 87-90.
18. Sharp, D. H. 1984 An overview of Rayleigh-Taylor instability. Physica D 12, 3-18.
19. Simpson, J. E. 1969 A comparison between laboratory and atmospheric density currents. Q. J. R. Met. Soc. 95, 758-765.
20. Thomson, J., Casademunt, J., Drolet, F. & Viñals, J. 1997 Coarsening of solid-liquid mixtures in a random acceleration field. Phys. Fluids 9, 1336-1343.
21. Tryggvason, G. 1988 Numerical simulations of the Rayleigh-Taylor instability. J. Comput. Phys. 75, 253-282.