Extended asymptotic solutions to the spin-coating model with small evaporation

Vincent Cregan; Stephen B.G. O'Brien

doi:10.1016/j.amc.2013.07.071

Extended asymptotic solutions to the spin-coating model with small evaporation

Vincent Cregan
, Stephen B.G. O'Brien

University of Limerick

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

Abstract

We obtain improved asymptotic solutions to the spin-coating with small evaporation model. In particular, the spinning of a solute-free fluid, and a two-component solvent-solute solution are studied. In addition, the non-negligible effect of the rise of solute concentration on the solution viscosity at the end of the spin-coating process is considered.

Original language	English
Pages (from-to)	76-87
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	223
DOIs	https://doi.org/10.1016/j.amc.2013.07.071
Publication status	Published - 2013

Keywords

Asymptotics
Evaporation
Matched asymptotic expansions
Spin-coating

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10.1016/j.amc.2013.07.071

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title = "Extended asymptotic solutions to the spin-coating model with small evaporation",

abstract = "We obtain improved asymptotic solutions to the spin-coating with small evaporation model. In particular, the spinning of a solute-free fluid, and a two-component solvent-solute solution are studied. In addition, the non-negligible effect of the rise of solute concentration on the solution viscosity at the end of the spin-coating process is considered.",

keywords = "Asymptotics, Evaporation, Matched asymptotic expansions, Spin-coating",

author = "Vincent Cregan and O'Brien, \{Stephen B.G.\}",

year = "2013",

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journal = "Applied Mathematics and Computation",

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T1 - Extended asymptotic solutions to the spin-coating model with small evaporation

AU - Cregan, Vincent

AU - O'Brien, Stephen B.G.

PY - 2013

Y1 - 2013

N2 - We obtain improved asymptotic solutions to the spin-coating with small evaporation model. In particular, the spinning of a solute-free fluid, and a two-component solvent-solute solution are studied. In addition, the non-negligible effect of the rise of solute concentration on the solution viscosity at the end of the spin-coating process is considered.

AB - We obtain improved asymptotic solutions to the spin-coating with small evaporation model. In particular, the spinning of a solute-free fluid, and a two-component solvent-solute solution are studied. In addition, the non-negligible effect of the rise of solute concentration on the solution viscosity at the end of the spin-coating process is considered.

KW - Asymptotics

KW - Evaporation

KW - Matched asymptotic expansions

KW - Spin-coating

UR - https://www.scopus.com/pages/publications/84883413459

U2 - 10.1016/j.amc.2013.07.071

DO - 10.1016/j.amc.2013.07.071

M3 - Article

AN - SCOPUS:84883413459

SN - 0096-3003

VL - 223

SP - 76

EP - 87

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

Extended asymptotic solutions to the spin-coating model with small evaporation

Abstract

Keywords

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