Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ...
Axisymmetric shape oscillations of a viscoelastic drop in a vacuum are studied by a weakly nonlinear analysis. The two-lobed initial drop deformation mode is studied. The Oldroyd-B model is used for characterising the drop liquid rheological behavior. The equations of motion and the solutions up to...
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2024
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Online Access: | https://dx.doi.org/10.6084/m9.figshare.c.7399609 https://rs.figshare.com/collections/Supplementary_material_from_Weakly_nonlinear_shape_oscillations_of_viscoelastic_drops_/7399609 |
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ftdatacite:10.6084/m9.figshare.c.7399609 2024-09-30T14:39:57+00:00 Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ... Zrnic, Dino Dr. Brenn, Günter 2024 https://dx.doi.org/10.6084/m9.figshare.c.7399609 https://rs.figshare.com/collections/Supplementary_material_from_Weakly_nonlinear_shape_oscillations_of_viscoelastic_drops_/7399609 unknown The Royal Society Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 Fluid mechanics and thermal engineering not elsewhere classified Collection article 2024 ftdatacite https://doi.org/10.6084/m9.figshare.c.7399609 2024-09-02T08:16:45Z Axisymmetric shape oscillations of a viscoelastic drop in a vacuum are studied by a weakly nonlinear analysis. The two-lobed initial drop deformation mode is studied. The Oldroyd-B model is used for characterising the drop liquid rheological behavior. The equations of motion and the solutions up to second order are developed, where elastic effects appear. Solutions of the characteristic equation are validated against decay rate and frequency of damped shape oscillations of polymer solution drops in an acoustic levitator. The theory shows enhancing or dampening of the nonlinear behaviour and enhanced mode coupling, as compared to the Newtonian case. The study reveals an excess time in the prolate shape and a frequency change, together with a quasi-periodicity of the oscillations. The Fourier power spectra of traces of the drop north pole position in time show mode coupling as a nonlinear effect. At moderate stress-relaxation Deborah number, the resultant drop motion for large Ohnesorge number, suggesting ... Article in Journal/Newspaper North Pole DataCite North Pole |
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Fluid mechanics and thermal engineering not elsewhere classified |
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Fluid mechanics and thermal engineering not elsewhere classified Zrnic, Dino Dr. Brenn, Günter Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ... |
topic_facet |
Fluid mechanics and thermal engineering not elsewhere classified |
description |
Axisymmetric shape oscillations of a viscoelastic drop in a vacuum are studied by a weakly nonlinear analysis. The two-lobed initial drop deformation mode is studied. The Oldroyd-B model is used for characterising the drop liquid rheological behavior. The equations of motion and the solutions up to second order are developed, where elastic effects appear. Solutions of the characteristic equation are validated against decay rate and frequency of damped shape oscillations of polymer solution drops in an acoustic levitator. The theory shows enhancing or dampening of the nonlinear behaviour and enhanced mode coupling, as compared to the Newtonian case. The study reveals an excess time in the prolate shape and a frequency change, together with a quasi-periodicity of the oscillations. The Fourier power spectra of traces of the drop north pole position in time show mode coupling as a nonlinear effect. At moderate stress-relaxation Deborah number, the resultant drop motion for large Ohnesorge number, suggesting ... |
format |
Article in Journal/Newspaper |
author |
Zrnic, Dino Dr. Brenn, Günter |
author_facet |
Zrnic, Dino Dr. Brenn, Günter |
author_sort |
Zrnic, Dino |
title |
Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ... |
title_short |
Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ... |
title_full |
Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ... |
title_fullStr |
Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ... |
title_full_unstemmed |
Supplementary material from "Weakly nonlinear shape oscillations of viscoelastic drops" ... |
title_sort |
supplementary material from "weakly nonlinear shape oscillations of viscoelastic drops" ... |
publisher |
The Royal Society |
publishDate |
2024 |
url |
https://dx.doi.org/10.6084/m9.figshare.c.7399609 https://rs.figshare.com/collections/Supplementary_material_from_Weakly_nonlinear_shape_oscillations_of_viscoelastic_drops_/7399609 |
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North Pole |
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Creative Commons Attribution 4.0 International https://creativecommons.org/licenses/by/4.0/legalcode cc-by-4.0 |
op_doi |
https://doi.org/10.6084/m9.figshare.c.7399609 |
_version_ |
1811642514646499328 |