Nonlinear breakup of an electrohydrodynamic jet
Authors:
S. K. Malik and M. Singh
Journal:
Quart. Appl. Math. 41 (1983), 273-287
MSC:
Primary 76W05; Secondary 76B10
DOI:
https://doi.org/10.1090/qam/721418
MathSciNet review:
721418
Full-text PDF Free Access
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Abstract: A weakly nonlinear theory of the breakup of a jet held together with the capillary forces in the presence of an applied electric field is presented. It is shown that the jet breaks into the main drops and their satellites whose sizes are sensitive to the wavenumbers and the electric field. The satellites always exist when the electric field is applied to the jet which, however, is not the case when the electric field is absent.
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R. J. Donelly and W. Glaberson, Experiments on the capillary instability of a liquid jet, Proc. Roy. Soc. London A 290, 547 (1966)
D. F. Rutland and G. J. Jameson, A nonlinear effect in the capillary instability of liquid jets, J. Fluid Mech. 46, 267 (1971)
M. C. Yuen, Nonlinear capillary instability of a liquid jet, J. Fluid Mech. 33, 151 (1968)
J. R. Melcher, Field coupled surface waves, M.I.T. Press, Cambridge, Mass., 1963
- S. K. Malik, M. Singh, and W. Welsh, Nonlinear breakup of a self-gravitating column, J. Math. Anal. Appl. 89 (1982), no. 2, 370–385. MR 677736, DOI https://doi.org/10.1016/0022-247X%2882%2990108-1
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P. Lafrance, Nonlinear breakup of a laminar liquid jet, Phys. Fluids, 18, 428 (1975)
A. H. Nayfeh, Nonlinear instability of a liquid jet, Phys. Fluids, 13, 841 (1970)
- R. Kant and S. K. Malik, Nonlinear electrohydrodynamic instability of a jet, Quart. Appl. Math. 43 (1986), no. 4, 407–419. MR 846153, DOI https://doi.org/10.1090/S0033-569X-1986-0846153-9
H. Lamb, Hydrodynamics, sixth edition, Cambridge, 1975
J. W. S. Rayleigh, Theory of sound, Vol. 2, Macmillin, London, 2nd ed., 1896; reprinted Dover, New York, 1945, 1947
R. J. Donelly and W. Glaberson, Experiments on the capillary instability of a liquid jet, Proc. Roy. Soc. London A 290, 547 (1966)
D. F. Rutland and G. J. Jameson, A nonlinear effect in the capillary instability of liquid jets, J. Fluid Mech. 46, 267 (1971)
M. C. Yuen, Nonlinear capillary instability of a liquid jet, J. Fluid Mech. 33, 151 (1968)
J. R. Melcher, Field coupled surface waves, M.I.T. Press, Cambridge, Mass., 1963
S. K. Malik, M. Singh and W. Welsh, Nonlinear breakup of a self-gravitating column, J. Math. Annal. Appl., 89, 370 (1982)
A. H. Nayfeh, Perturbation methods, Wiley, New York, 1973
P. Lafrance, Nonlinear breakup of a laminar liquid jet, Phys. Fluids, 18, 428 (1975)
A. H. Nayfeh, Nonlinear instability of a liquid jet, Phys. Fluids, 13, 841 (1970)
R. Kant and S. K. Malik, Nonlinear electrohydrodynamic instability of a jet (to appear)
H. Lamb, Hydrodynamics, sixth edition, Cambridge, 1975
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Article copyright:
© Copyright 1983
American Mathematical Society
