An exact solution for unsteady diffusion in a block copolymer with a highly oriented lamellar morphology

J. S. Vrentas; C. M. Vrentas

doi:10.1016/S0009-2509(96)00457-5

An exact solution for unsteady diffusion in a block copolymer with a highly oriented lamellar morphology

J. S. Vrentas
, C. M. Vrentas

Chemical Engineering

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

1 Scopus citations

Abstract

An exact, analytical solution is derived to the two-dimensional diffusion problem for mass transfer in a block copolymer with a highly oriented lamellar morphology. The solution is derived using a separation of variables approach with a spectral analysis of a self-adjoint operator and also by formal application of the Laplace transform method. A simple solution is also derived for films with high aspect ratios.

Original language	English (US)
Pages (from-to)	985-992
Number of pages	8
Journal	Chemical Engineering Science
Volume	52
Issue number	6
DOIs	https://doi.org/10.1016/S0009-2509(96)00457-5
State	Published - Mar 1 1997

All Science Journal Classification (ASJC) codes

General Chemistry
General Chemical Engineering
Industrial and Manufacturing Engineering

Access to Document

10.1016/S0009-2509(96)00457-5

Cite this

@article{617df95e095e4561b57ebca75fb43b45,

title = "An exact solution for unsteady diffusion in a block copolymer with a highly oriented lamellar morphology",

abstract = "An exact, analytical solution is derived to the two-dimensional diffusion problem for mass transfer in a block copolymer with a highly oriented lamellar morphology. The solution is derived using a separation of variables approach with a spectral analysis of a self-adjoint operator and also by formal application of the Laplace transform method. A simple solution is also derived for films with high aspect ratios.",

author = "Vrentas, \{J. S.\} and Vrentas, \{C. M.\}",

year = "1997",

month = mar,

day = "1",

doi = "10.1016/S0009-2509(96)00457-5",

language = "English (US)",

volume = "52",

pages = "985--992",

journal = "Chemical Engineering Science",

issn = "0009-2509",

publisher = "Elsevier B.V.",

number = "6",

}

TY - JOUR

T1 - An exact solution for unsteady diffusion in a block copolymer with a highly oriented lamellar morphology

AU - Vrentas, J. S.

AU - Vrentas, C. M.

PY - 1997/3/1

Y1 - 1997/3/1

N2 - An exact, analytical solution is derived to the two-dimensional diffusion problem for mass transfer in a block copolymer with a highly oriented lamellar morphology. The solution is derived using a separation of variables approach with a spectral analysis of a self-adjoint operator and also by formal application of the Laplace transform method. A simple solution is also derived for films with high aspect ratios.

AB - An exact, analytical solution is derived to the two-dimensional diffusion problem for mass transfer in a block copolymer with a highly oriented lamellar morphology. The solution is derived using a separation of variables approach with a spectral analysis of a self-adjoint operator and also by formal application of the Laplace transform method. A simple solution is also derived for films with high aspect ratios.

UR - https://www.scopus.com/pages/publications/0031103842

UR - https://www.scopus.com/pages/publications/0031103842#tab=citedBy

U2 - 10.1016/S0009-2509(96)00457-5

DO - 10.1016/S0009-2509(96)00457-5

M3 - Article

AN - SCOPUS:0031103842

SN - 0009-2509

VL - 52

SP - 985

EP - 992

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 6

ER -

An exact solution for unsteady diffusion in a block copolymer with a highly oriented lamellar morphology

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this