Cylindrically symmetric electrohydrodynamic patterning

Paru Deshpande; Leonard F. Pease; Lei Chen; Stephen Y. Chou; William B. Russel

doi:10.1103/PhysRevE.70.041601

Cylindrically symmetric electrohydrodynamic patterning

Paru Deshpande, Leonard F. Pease, Lei Chen, Stephen Y. Chou, William B. Russel

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

An approach which capitalizes on the growth of instabilities to pattern thin polymeric films was discussed. Experiments that formed concentric rings and theory capable of explaining cylindrically symmetric structures such as rings and rosettes and other cylindrical structures were also presented. It was found that the theory predicts approximately constant ring-to-ring spacings, and growth rates that agree with experiment, constant annular widths. The results show that the perturbation analysis presented is relevant to any system with cylindrical symmetry, for which the radial dependence can be described in terms of Bessel functions.

Original language	English (US)
Article number	041601
Pages (from-to)	041601-1-041601-12
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	70
Issue number	4 1
DOIs	https://doi.org/10.1103/PhysRevE.70.041601
State	Published - Oct 2004

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Statistical and Nonlinear Physics
Statistics and Probability

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10.1103/PhysRevE.70.041601

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title = "Cylindrically symmetric electrohydrodynamic patterning",

abstract = "An approach which capitalizes on the growth of instabilities to pattern thin polymeric films was discussed. Experiments that formed concentric rings and theory capable of explaining cylindrically symmetric structures such as rings and rosettes and other cylindrical structures were also presented. It was found that the theory predicts approximately constant ring-to-ring spacings, and growth rates that agree with experiment, constant annular widths. The results show that the perturbation analysis presented is relevant to any system with cylindrical symmetry, for which the radial dependence can be described in terms of Bessel functions.",

author = "Paru Deshpande and Pease, {Leonard F.} and Lei Chen and Chou, {Stephen Y.} and Russel, {William B.}",

note = "Funding Information: The authors wish to express appreciation to Mahesh Tirumkudulu who was quite helpful in the course of the derivations. The authors also acknowledge support from the MRSEC (NSF-DMR-0213706), DARPA, and the Department of Defense (NDSEG), which provided partial support for this work.",

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doi = "10.1103/PhysRevE.70.041601",

language = "English (US)",

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T1 - Cylindrically symmetric electrohydrodynamic patterning

AU - Deshpande, Paru

AU - Pease, Leonard F.

AU - Chen, Lei

AU - Chou, Stephen Y.

AU - Russel, William B.

N1 - Funding Information: The authors wish to express appreciation to Mahesh Tirumkudulu who was quite helpful in the course of the derivations. The authors also acknowledge support from the MRSEC (NSF-DMR-0213706), DARPA, and the Department of Defense (NDSEG), which provided partial support for this work.

PY - 2004/10

Y1 - 2004/10

N2 - An approach which capitalizes on the growth of instabilities to pattern thin polymeric films was discussed. Experiments that formed concentric rings and theory capable of explaining cylindrically symmetric structures such as rings and rosettes and other cylindrical structures were also presented. It was found that the theory predicts approximately constant ring-to-ring spacings, and growth rates that agree with experiment, constant annular widths. The results show that the perturbation analysis presented is relevant to any system with cylindrical symmetry, for which the radial dependence can be described in terms of Bessel functions.

AB - An approach which capitalizes on the growth of instabilities to pattern thin polymeric films was discussed. Experiments that formed concentric rings and theory capable of explaining cylindrically symmetric structures such as rings and rosettes and other cylindrical structures were also presented. It was found that the theory predicts approximately constant ring-to-ring spacings, and growth rates that agree with experiment, constant annular widths. The results show that the perturbation analysis presented is relevant to any system with cylindrical symmetry, for which the radial dependence can be described in terms of Bessel functions.

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Cylindrically symmetric electrohydrodynamic patterning

Abstract

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