The nonlinear stability of mass and heat transfer in magnetic fluids

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 77, Issue 1, 1997, Pages 19-31

  Elhefnawy, A R F ^a  

^a BENHA UNIVERSITY   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038060233     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19970770104     Document Type: Article

References (27)

1. FORTESCUE, G. E.; PEARSOX, J. R. A.: On gas absorption into a turbulent liquid. Chem. Engng. Sci. 22 (1967), 1163-1176.
2. HÖRNER, B.; ABBENSETH, R. J.; DIALER, K.: Zur Vorhersage von Stoffübergangs-Koeffizienten bei der Absorption aus gemessenen Turbulenzeigenschaften der Flüssigkeit. Verfahrenstechnik 13 (1979), 786-789.
3. RASHIDI, M.; HETSRONI, G.; BANERJEE, S.: Mechanisms of heat and mass transport at gas-liquid interfaces. Internat. J. Heat Mass Transfer. 34 (1991), 1799-1810.
4. SALAZAR, R. P.; MARSHALL, E.: Three-dimensional surface characteristics of a falling liquid film. Internat. J. Multiphase Flow 4 (1978), 487-496.
5. KOMORI, S.; NAGAOSA, R.; MURAKAMI, Y.: Turbulence structure and transfer across a sheared air-water interface in wind-driven turbulence. J. Fluid Mech. 249 (1993), 161-183.
6. HSIEH, D. Y.: Effects of heat and mass transfer on Rayleigh-Taylor instability. Trans. ASME 94D (1972), 156-162.
7. STREET, R. L.: Turbulent heat and mass transfer across a rough, air-water interface: a simple theory. Internat. J. Heat Mass Transfer 2 (1979), 885-899.
8. HSIEH, D. Y.: Interfacial stability with mass and heat transfer. Phys. Fluids 21 (1978), 745-748.
9. HSIEH, D. Y.: Nonlinear Rayleigh-Taylor stability with mass and heat transfer. Phys. Fluids 22 (1979), 1435-1439.
10. ROSENZWEIG, R. E.: Ferrohydrodynamics. Cambridge Univ. Press., Cambridge-New York 1985.
11. MALIK, S. K.; SINGH, M.: Nonlinear evolution of wave packets in magnetic fluids. Quart. Appl. Math. 48 (1990), 415-431.
12. MALIK, S. K.; SINGH, M.: Nonlinear field instability and chaos in magnetic fluids. Quart. Appl. Math. 51 (1993), 519-534.
13. ELHEFNAWY, A. R. F.: The Rayleigh-Taylor instability in magnetic fluids and nonlinear interfacial waves. Canadian J. Phys. 70 (1992), 603-609.
14. ELHEFNAWY, A. R. F.; Nonlinear Rayleigh-Taylor instability in magnetic fluids between two parallel plates. Internat. J. Theoret. Phys. 31 (1992), 1505-1520.
15. ELHEFNAWY, A. R. F.: Nonlinear propagation of wave packets in superposed magnetic fluids. Nuovo Cimento 107B (1992), 1279-1289.
16. ELHEFNAWY, A. R. F.: Nonlinear Rayleigh-Taylor instability in magnetic fluids with uniform horizontal and vertical magnetic fields. J. Appl. Math. Phys. (ZAMP) 44 (1993), 495-509.
17. NAYFEH, A. H.: Nonlinear propagation of wave packets on fluid interfaces. Trans ASME 98E (1976), 584-588.
18. ZELAZO, R. E.; MELCHER, J. R.: Dynamics and stability of ferrofluids: surface interactions. J. Fluid Mech. 39 (1969), 1-24.
19. IIZUKA, T.; WADATI M.: The Rayleigh-Taylor instability and nonlinear waves. J. Phys. Soc. Japan 59 (1990), 3182-3193.
20. FUJIMURA, K., YANASE, S.; MIZUSHIMA, J.: Modulational instability of plane waves in a two-dimentional jet and wake. Fluid Dynamics Res. 4 (1988), 15-24.
21. ALBARÈDE, P.; MONKEWITZ, P.: A model for the formation of oblique shedding and chevron patterns in cylinder wakes. Phys. of Fluids A4 (1992), 744-756.
22. MALOMED, B. A.; NEPOMNYASHCHY, A. A.: Kinks and solitons in the generalized Ginzburg-Landau equation. Phys. Rev. A42 (1990), 6009-6014.
23. LANDMAN, M. J.: Solutions of the Ginzburg-Landau equation of interest in shear flow transition. Stud. Appl. Math. 76 (1987), 187-237.
24. ROTENBERRY, J. M.; SAFFMAN, P. G.: Effect of compliant boundaries on weakly nonlinear shear waves in channel flow. SIAM J. Appl. Math. 50 (1990), 361-394.
25. LANGE, C. G.; NEWELL, A. C.: A stability criterion for envelope equations. SIAM J. Appl. Math. 27 (1974), 441-456.
26. MATKOWSKY, B. J.; VOLPERT, V.: Stability of plane wave solutions of complex Ginzburg-Landau equations. Quart. Appl. Math. 51 (1993), 265-281.
27. HASIMOTO, H.; ONO, H.: Nonlinear modulation of gravity waves, J. Phys. Soc. Japan 33 (1972), 805-811.