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Instability analysis of a coaxial jet under a radial electric field in the nonequipotential case
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10.1063/1.2181604
/content/aip/journal/pof2/18/3/10.1063/1.2181604
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/3/10.1063/1.2181604
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Effect of the dimensionless electrostatic force on the growth rate of (a) the paravaricose mode and (b) the parasinuous and transitional modes for both the nonequipotential and equipotential cases. The selected values of are 0, 0.1, 0.15, and 0.2.

Image of FIG. 2.
FIG. 2.

Sketch of the perturbed inner and outer interfaces for the paravaricose, parasinuous, and transitional modes.

Image of FIG. 3.
FIG. 3.

Effect of the dimensionless electrostatic force on the growth rate of (a) the paravaricose mode and (b) the parasinuous and transitional modes for the nonequipotential case. The selected values of are 0, 0.1, 0.15, 0.2, and 0.3. The relative dielectric constant is fixed to 20.

Image of FIG. 4.
FIG. 4.

Maximum growth rate versus the dimensionless electrostatic force for the parasinuous mode (line marked circles), the paravaricose mode (line marked squares), and the transitional mode (line marked triangles). The dashed lines represent the corresponding equipotential case. The selected values of are 10, 20, 40, and 80.

Image of FIG. 5.
FIG. 5.

(a) The critical axial wavenumber and (b) the corresponding critical growth rate of the intersecting points versus the relative dielectric constant for the nonequipotential case.

Image of FIG. 6.
FIG. 6.

Effect of the relative dielectric constant on the growth rate of (a) the paravaricose mode and (b) the parasinuous and transitional modes for the nonequipotential case. The selected values of are 1, 3.4, 40, and 80.

Image of FIG. 7.
FIG. 7.

Effect of the Weber number on the growth rate of (a) the paravaricose mode and (b) the parasinuous and transitional modes for both the nonequipotential and equipotential cases. The selected values of are 0.1, 1, 10, 20, and 50.

Image of FIG. 8.
FIG. 8.

Effect of the dimensionless electrostatic force E on the growth rate of (a) the paravaricose mode and (b) the parasinuous and transitional modes for both the nonequipotential and equipotential cases. The selected values of are 0, 0.05, 0.1, 0.15, 0.2, and 0.3. The Weber number is fixed to 100.

Image of FIG. 9.
FIG. 9.

The critical dimensionless electrostatic force versus the Weber number for the nonequipotential case.

Image of FIG. 10.
FIG. 10.

The growth rate and phase difference of the unstable modes versus the axial wave number for the selected points A, B, C, D, and O in Fig. 9. (a) Transition between the paravaricose mode and mode 1. (b) Transition between the parasinuous mode and mode 2.

Image of FIG. 11.
FIG. 11.

A comparison between the axisymmetric mode and the nonaxisymmetric modes . (a) The paravaricose mode; (b) the parasinuous and transitional modes. All the parameters are equal to the reference values [see Eq. (10)]

Image of FIG. 12.
FIG. 12.

A comparison between the axisymmetric mode and the nonsymmetric modes when the Weber numbers are fixed to 100. (a) Mode 1; (b) mode 2. All the other parameters are under the reference setting.

Image of FIG. 13.
FIG. 13.

Effect of the diameter ratio on the growth rate of (a) the paravaricose mode and (b) the parasinuous and transitional modes for both the nonequipotential and equipotential cases. The selected values of are 0.5, 0.6, 0.7, 0.8, and 0.9.

Image of FIG. 14.
FIG. 14.

Effect of the dimensionless electrostatic force on the growth rate of (a) mode 1 and (b) mode 2 for the nonequipotential case. The other parameters are , , ,, , , , , and .

Image of FIG. 15.
FIG. 15.

The critical diameter ratio versus the Weber number for the nonequipotential case.

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/content/aip/journal/pof2/18/3/10.1063/1.2181604
2006-03-15
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Instability analysis of a coaxial jet under a radial electric field in the nonequipotential case
http://aip.metastore.ingenta.com/content/aip/journal/pof2/18/3/10.1063/1.2181604
10.1063/1.2181604
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