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Linear spatial instability of viscous flow of a liquid sheet through gas
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10.1063/1.3460348
/content/aip/journal/pof2/22/7/10.1063/1.3460348
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/7/10.1063/1.3460348
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Flow configuration adopted for the linear instability analysis.

Image of FIG. 2.
FIG. 2.

Sketch and nomenclature of the flow defined with error function velocity profiles

Image of FIG. 3.
FIG. 3.

Velocity profiles based on quadratic and error functions compared with the profile from CFD simulations.

Image of FIG. 4.
FIG. 4.

Dimensionless spatial growth rate as a function of the dimensionless wavenumber for , , , , and different ratios of the shear-layer thickness to the half-sheet thickness given by .

Image of FIG. 5.
FIG. 5.

Dimensionless spatial growth rate as a function of the dimensionless wavenumber for , , , , , , and different viscosity ratios.

Image of FIG. 6.
FIG. 6.

Dimensionless spatial growth rate as a function of the dimensionless wavenumber for , , , and different values of and . Comparison with the solution of a viscous liquid sheet in an inviscid gas.

Image of FIG. 7.
FIG. 7.

Dimensionless spatial growth rate as a function of the dimensionless wavenumber for , , , , , , and different density ratios.

Image of FIG. 8.
FIG. 8.

Dimensionless spatial growth rate as a function of the dimensionless wavenumber for , , , , , , and different Weber numbers.

Image of FIG. 9.
FIG. 9.

Dimensionless spatial growth rate as a function of the dimensionless wavenumber for , , , , , , and different Reynolds numbers.

Image of FIG. 10.
FIG. 10.

Dimensionless spatial growth rate as a function of the dimensionless wavenumber for , , , , and different Ohnesorge numbers.

Image of FIG. 11.
FIG. 11.

Comparison of the dimensionless spatial growth rate as a function of the dimensionless wavenumber given by spatial instability and temporal instabilities through Gaster transformation (, , , ).

Image of FIG. 12.
FIG. 12.

Comparison of the dimensionless spatial growth rate as a function of the dimensionless wavenumber given by several instability models (, , , ).

Image of FIG. 13.
FIG. 13.

Comparison between measured (hollow symbols) and calculated (solid symbols) perturbation wavelength.

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/content/aip/journal/pof2/22/7/10.1063/1.3460348
2010-07-19
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Linear spatial instability of viscous flow of a liquid sheet through gas
http://aip.metastore.ingenta.com/content/aip/journal/pof2/22/7/10.1063/1.3460348
10.1063/1.3460348
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