Decay Estimates of Heat Transfer to Melton Polymer Flow in Pipes with Viscous Dissipation
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Date
2001-05-29
Authors
Wei, Dongming
Zhang, Zhenbu
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this work, we compare a parabolic equation with an elliptic equation both of which are used in modeling temperature profile of a power-law polymer flow 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.
Description
Keywords
Heat transfer, Decay estimates, Pipes, Power-law flow
Citation
Wei, D., & Zhang, Z. (2001). Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation. <i>Electronic Journal of Differential Equations, 2001</i>(39), pp. 1-14.
Rights
Attribution 4.0 International