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

Chemistry(all)
Chemical Engineering(all)
Industrial and Manufacturing Engineering

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10.1016/S0009-2509(96)00457-5

Cite this

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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.",

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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.

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JO - Chemical Engineering Science

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

Abstract

All Science Journal Classification (ASJC) codes

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