Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation

W. E I Dongming, Zhenbu Zhang

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 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.

Original languageEnglish
JournalElectronic Journal of Differential Equations
Volume2001
Publication statusPublished - 2001
Externally publishedYes

Fingerprint

Viscous Dissipation
Decay Estimates
Temperature Profile
Steady-state Solution
Elliptic Equations
Straight
Parabolic Equation
Heat Transfer
Power Law
Rate of Convergence
Cross section
Polymers
Modeling
Estimate
Model

Keywords

  • Decay estimates
  • Heat transfer
  • Pipes
  • Power-law flow

ASJC Scopus subject areas

  • Analysis

Cite this

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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 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.",
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KW - Decay estimates

KW - Heat transfer

KW - Pipes

KW - Power-law flow

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