Convection in modulated thermal gradients and gravity: Experimental measurements and numerical simulations

International Journal of Heat and Mass Transfer

Volumn 48, Issue 1, 2005, Pages 145-160

  Shu, Y ^a   Li, B Q ^a   Ramaprian, B R ^a  

^a Washington State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; ENERGY ABSORPTION; FINITE ELEMENT METHOD; GRADIENT METHODS; GRAVITATION; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; PRANDTL NUMBER; THERMAL EFFECTS; THERMAL GRADIENTS; VELOCIMETERS;

ENERGY BALANCE EQUATIONS; PARTICLE IMAGE VELOCIMETRY (PIV) SYSTEM; WALL TEMPERATURES;

HEAT CONVECTION;

CONVECTION; HEAT TRANSFER; MATHEMATICAL ANALYSIS; MEASUREMENT METHOD;

EID: 9244256717     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2004.08.010     Document Type: Article

References (39)

1. G.Z. Gershuni, E.M. Zhukhoviskii, Convective stability of incompressible fluids. Israel Program for Scientific Translations, 1976.
2. G. Venezian, Effect of modulation on the onset of thermal convection, J. Fluid Mech. 35 (2) (1969) 243-254.
3. M.N. Roppo, S.H. Davis, S. Rosenbalt, Bénard convection with time-periodic heating, Phys. Fluids 27 (4) (1984) 796-803.
4. J.L. Rogers, M.F. Schatz, Superlattice patterns in vertically oscillated Rayleigh-Benard convection, Phys. Rev. Lett. 85 (20) (2000) 4281-4284.
5. J.L. Rogers, W. Pesch, M.F. Schatz, Pattern formation in vertically oscillated convection, Nonlinearity 16 (2003) Cl-C10.
6. P.M. Gresho, R.L. Sani, The effects of gravity modulation on the stability of a heated fluid layer, J. Fluid Mech. 40 (4) (1970) 783-806.
7. S.R. Rosenblat, D.M. Herbert, Low-frequency modulation of thermal instability, J. Fluid Mech. 43 (2) (1970) 385-398.
8. S.R. Rosenblat, G.A. Tanka, Modulation of thermal convection instability, Phys. Fluids 14 (7) (1971) 1319-1322.
9. C.S. Yih, C.H. Li, Instability of unsteady flows or configurations. Part 2. Convective instability, J. Fluid Mech. 54 (1) (1972) 143-152.
10. M. Wadih, B. Roux, Natural convection in a long vertical cylinder under gravity modulation, J. Fluid Mech. 193 (1988) 391-415.
11. R. Clever, G. Schubert, F.H. Busse, Three-dimensional oscillatory convection in a gravitational modulated fluid layer, Phys. Fluids, A Fluid Dyn. 5 (10) (1993) 2430-2437.
12. B.Q. Li, Stability of modulated gravity-induced thermal convection in magnetic field, Phys. Rev. E 63 (2001) 041508.
13. G. Ahlers, P.C. Hohenberg, M. Lücke, Thermal convection under external modulation of the driving force, I. The Lorenz model, Phys. Rev. A 32 (6) (1985) 3493-3518.
14. G. Ahlers, P.C. Hohenberg, M. Lücke, Thermal convection under external modulation of the driving force, II. Experiments, Phys. Rev. A 32 (6) (1985) 3519-3534.
15. P.C. Hohenberg, J.B. Swift, Hexagons and rolls in periodically modulated Rayleigh-Benard convection, Phys. Rev. A 35 (9) (1988) 3855-3873.
16. C.W. Meyer, D. Cannell, G. Ahlers, Hexagonal and roll flow pattern in temporally modulated Rayleigh-Benard convection, Phys. Rev. A 45 (12) (1992) 8583-8604.
17. M. Kazmierczak, Z. Chinoda, Buoyancy-driven flow in an enclosure with time periodic boundary conditions, Int. J. Heat Mass Transfer 35 (6) (1992) 1507-1518.
18. H.S. Kwak, J.M. Hyun, Natural convection in an enclosure having a vertical sidewall with time-varying temperature, J. Fluid Mech. 329 (1996) 65-88.
19. H.S. Kwak, K. Kuwahara, J.M. Hyun, Resonant enhancement of natural convection heat transfer in a square enclosure, Int. J. Heat Mass Transfer 41 (1998) 2837-2846.
20. J.L. Lage, A. Bejan, The resonance of natural convection in an enclosure heated periodically from the side, Int. J. Heat Mass Transfer 36 (8) (1993) 2027-2038.
21. B.V. Antohe, J.L. Lage, Amplitude effect on convection induced by time-periodic horizontal heating, Int. J. Heat Mass Transfer 39 (6) (1996) 1121-1133.
22. B.V. Antohe, J.L. Lage, The Prandtl number effect on the optimum heating frequency of an enclosure filled with fluid or with a saturated porous medium, Int. J. Heat Mass Transfer 40 (6) (1997) 1313-1323.
23. B.V. Antohe, J.L. Lage, Natural convection in an enclosure under time periodic heating: An experimental study, ASME-HTD 324 (2) (1996) 57-64.
24. J.L. Lage, B.V. Antohe, Convection resonance and heat transfer enhancement of periodically heated fluid enclosures, in: J. Padet, F. Arinc (Eds.), Transient Convective Heat Transfer, Begell House, New York, 1997, pp. 259-268.
25. J.L. Lage, Convective currents induced by periodic timedependent vertical density gradient, Int. J. Heat Fluid Flow 15 (1994) 233-240.
26. B.V. Antohe, J.L. Lage, Experimental investigation on pulsating horizontal heating of a water-filled enclosure, ASME J. Heat Transfer 118 (1996) 889-896.
27. B. Abourida, M. Hasnaoui, S. Douamna, Transient natural convection in a square enclosure with horizontal walls submitted to periodic temperatures, Numer. Heat Transf. A Appl. 36 (1999) 737-750.
28. F.T. Poujol, J. Rojas, E. Ramos, Natural convection of a high Prandtl number fluid in a cavity, Int. Commun. Heat Mass Transfer 27 (1) (2000) 109-118.
29. W.S. Fu, W.J. Shien, A study of thermal convection in an enclosure induced simultaneously by gravity and vibration, Int. J. Heat Mass Transfer 35 (7) (1992) 1695-1710.
30. W.S. Fu, W.J. Shien, Transient thermal convection in an enclosure induced simultaneously by gravity and vibration, Int. J. Heat Mass Transfer 36 (2) (1993) 437-452.
31. Y. Shu, B.Q. Li, H.C. de Groh III, Numerical study of gjitter induced double-diffusive convection, Numer. Heat Trans. A Appl. 39 (2001) 245-265.
32. Y. Shu, B.Q. Li, H.C. de Groh III, Magnetic damping of g-jitter induced double-diffusive convection, Numer. Heat Trans. A Appl. 42 (2002) 345-364.
33. M.K. Higgins, PIV study of oscillating natural convection flow within a horizontal rectangular enclosure, MS thesis, Washington State University, Pullman, WA, 2000.
34. Y, Shu, Experimental and numerical studies of natural convection and solidification in constant and oscillating temperature fields, PhD thesis, Washington State University, Pullman, WA, 2003.
35. B.Q. Li, G-jitter induced free convection in a transverse magnetic field, Int. J. Heat Mass Transfer 39 (14) (1996) 2853-2860.
36. B.Q. Li, Effect of magnetic field on low frequency oscillating natural convection, Int. J. Eng. Sci. 34 (12) (1997) 1369-1383.
37. B. Pan, B.Q. Li, Effect of magnetic fields on oscillating mixed convection, Int. J. Heat Mass Transfer 41 (17) (1998) 2705-2710.
38. N.Y. Lee, W.W. Schultz, Stability of fluid in a rectangular enclosure by spectral method, Int. J. Heat Mass Transfer 32 (3) (1989) 513-520.
39. R.L. Panton, Incompressible Flow, first ed., Wiley, New York, 1984, pp. 266-275.