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Inertial Effects in Transport of Radioactive Waste Through Engineered Barriers

Published online by Cambridge University Press:  21 February 2011

C. L. Carnahan
C. L. Carnahan*
Affiliation:
Earth Sciences Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720
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Abstract

Addition of an inertial term to the constitutive relation for mass flux leads to a mass transport equation which is hyperbolic and describes propagation of a distorted wave with a finite velocity. This approach eliminates the “instantaneous propagation paradox” inherent in parabolic transport equations based on Fick's law. Analytical solutions of the wave transport equation have been derived and have the properties that the leading edge of a solute front propagates at a finite, predictable velocity and is truncated by a step function which decreases in magnitude exponentially with time. The inertial effects on computed solute fronts are most evident near the leading edge, and have potential significance in the prediction of engineered barrier performance.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 15: Symposium D – Scientific Basis for Nuclear Waste Management VI , 1982 , 745
Copyright
Copyright © Materials Research Society 1983

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References

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