Decay Estimates of Heat Transfer to Melton Polymer Flow in Pipes with Viscous Dissipation
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Date
2001
Authors
Wei, Dongming
Zhang, Zhenbu
Journal Title
Journal ISSN
Volume Title
Publisher
Electronic journal of differential equations
Abstract
In this work, we compare a parabolic equation with an elliptic
equation both of which are used in modeling temperature profile of a powerlaw
polymer
ow in a semi-infinite straight pipe with circular cross section.
We show that both models are well-posed and we derive exponential rates of
convergence of the two solutions to the same steady state solution away from
the entrance. We also show estimates for difference between the two solutions
in terms of physical data.
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Citation
Dongming Wei, Zhenbu Zhang; 2001; Decay Estimates of Heat Transfer to Melton Polymer Flow in Pipes with Viscous Dissipation; Electronic journal of differential equations; http://nur.nu.edu.kz/handle/123456789/1935