@Article{IJNAM-4-425,
author = {C. Cox, H. Lee and D. Szurley},
title = {Finite Element Approximation of the Non-Isothermal Stokes-Oldroyd Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2007},
volume = {4},
number = {3-4},
pages = {425--440},
abstract = {<p style="text-align: justify;">We consider the Stokes-Oldroyd equations, defined here as
the Stokes equations with the Newtonian constitutive equation explicitly
included. Thus a polymer-like stress tensor is included so that the
dependent variable structure of a viscoelastic model is in place. The
energy equation is coupled with the mass, momentum, and constitutive
equations through the use of temperature-dependent viscosity terms in
both the constitutive model and the momentum equation. Earlier works
assumed temperature-dependent constitutive (polymer) and Newtonian
(solvent) viscosities when describing the model equations, but made the
simplifying assumption of a constant solvent viscosity when carrying out
analysis and computations; we assume no such simplification. Our
analysis coupled with numerical solution of the problem with both
temperature-dependent viscosities distinguishes this work from earlier
efforts.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/870.html}
}