Electron. J. Diff. Eqns., Vol. 2001(2001), No. 39, pp. 114.
Decay estimates of heat transfer to melton polymer
flow in pipes with viscous dissipation
Dongming Wei & Zhengbu Zhang
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 semiinfinite straight pipe with circular cross section.
We show that both models are wellposed 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.
Submitted March 3, 2001. Published May 29, 2001.
Math Subject Classifications: 35B45, 76D03, 80A20.
Key Words: Heat transfer, decay estimates, pipes, powerlaw flow.
Show me the
PDF file (255K),
TEX file, and other files for this article.

Dongming Wei
Department of Mathematics
University of New Orleans
New Orleans, Louisiana 70148 USA
email: dwei@math.uno.edu 

Zhenbu Zhang
Department of Mathematics
Tulane University
New Orleans, Louisiana 70118 USA
email: zzhang@tulane.edu 
Return to the EJDE web page