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Linear spatial instability of viscous flow of a liquid sheet through gas
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10.1063/1.3460348
M. Altimira1,a), A. Rivas1,b), J. C. Ramos1,c) and R. Anton1,d)
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Affiliations:
1 Department of Mechanical Engineering, Thermal and Fluids Engineering Division, Tecnun (University of Navarra), Manuel de Lardizábal 13, 20018 San Sebastián, Spain
a) Author to whom correspondence should be addressed. Telephone: +34 943 219 877. Fax: +34 943 311 442. Electronic mail: maltimira@tecnun.es.
b) Electronic mail: arivas@tecnun.es.
c) Electronic mail: jcramos@tecnun.es.
d) Electronic mail: ranton@tecnun.es.
Phys. Fluids 22, 074103 (2010)
/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

FIG. 1.

Flow configuration adopted for the linear instability analysis.

FIG. 2.

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

FIG. 3.

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

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 .

FIG. 5.

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

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.

FIG. 7.

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

FIG. 8.

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

FIG. 9.

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

FIG. 10.

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

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 (, , , ).

FIG. 12.

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

FIG. 13.

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

/content/aip/journal/pof2/22/7/10.1063/1.3460348
2010-07-19
2014-04-19

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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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