Geodesic
Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation
Electronic journal of differential equations, Tome 2001 (2001)
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.
Classification : 35B45, 76D03, 80A20
Keywords: heat transfer, decay estimates, pipes, power-law flow 
@article{EJDE_2001__2001__a64,
     author = {Wei,  Dongming and Zhang,  Zhengbu},
     title = {Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {0972.35015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a64/}
}
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JO  - Electronic journal of differential equations
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%A Zhang,  Zhengbu
%T Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation
%J Electronic journal of differential equations
%D 2001
%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a64/
%G en
%F EJDE_2001__2001__a64
Wei,  Dongming; Zhang,  Zhengbu. Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a64/