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Correction: Interfacial effects on droplet dynamics in Poiseuille flow

Jonathan T. Schwalbe a, Frederick R. Phelan Jr. a, Petia M. Vlahovska *b and Steven D. Hudson a
aComplex Fluids Group, Polymers Division, National Institute of Standards and Technology, Gaithersburg, USA. E-mail: schwalbe@nist.gov; Fax: +1 301-975-4924; Tel: +1 301-975-6781
bDivision of Engineering, Brown University, Rhode Island, USA

Received 5th March 2019 , Accepted 5th March 2019

First published on 17th April 2019


Abstract

Correction for ‘Interfacial effects on droplet dynamics in Poiseuille flow’ by Jonathan T. Schwalbe et al., Soft Matter, 2011, 7, 7797–7804.


The authors regret the following errors:

• Eqn (33) and (34) should be replaced by

 
image file: c9sm90053e-t1.tif(1)

In the absence of interfacial viscosity BoS = 0, this result reduces to the one reported by Hanna and Vlahovska.1

• The source of the error is eqn (54). When solving for the surfactant contribution to the velocity field one should keep the surface viscous stresses (eqn (10)). Eqn (54) should read

 
image file: c9sm90053e-t2.tif(2)

cSjm1 = 0

image file: c9sm90053e-t3.tif
In the absence of interfacial viscosity BoS = 0, Bod = 0, these equations reduce to the ones reported in Hanna and Vlahovska.1

• In eqn (55) there is a typographical error in the expression for Cjm, cSjm2 should be c0jm2.

Sections 1–3 and 4.1 are not affected at all. Fig. 3a in the original paper should be disregarded since the corrected migration velocity is independent of the dilational viscosity. Corrections to Fig. 3b, 4a and b are minimal as shown below. The changes to the results do not impact on the conclusions of the article.


image file: c9sm90053e-f1.tif
Fig. 1 Corrected Fig. 3b. y0 = 1.

image file: c9sm90053e-f2.tif
Fig. 2 Corrected Fig. 4a and b.

The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.

References

  1. J. Hanna and P. M. Vlahovska, Phys. Fluids, 2010, 22, 013102 CrossRef .

Footnote

Current address: Department of Engineering Sciences and Applied Mathematics, McCormick School of Engineering and Applied Science, Northwestern University, Evanston, Illinois 60208, USA. E-mail: petia.vlahovska@northwestern.edu

This journal is © The Royal Society of Chemistry 2019
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