On Some Generalizations of the Second Grade Fluid Model
Document Type
Article
Publication Date
7-1-2008
Journal / Book Title
Nonlinear Analysis: Real World Applications
Abstract
In this article, we provide a brief review of some generalizations of the second grade fluid model. We discuss certain similarities between these fluids and fluids of higher grades, while also describing certain limitations of these models. The new models that we put forth are based upon some interesting experimental results which suggest that not only can normal stress coefficients depend upon the shear rate, but that this dependency is in fact not the same rate as that of shear viscosity variation with shear rate. We then discuss some steady flows of these generalized second grade fluid models.
DOI
10.1016/j.nonrwa.2007.02.008
MSU Digital Commons Citation
Massoudi, Mehrdad and Vaidya, Ashuwin, "On Some Generalizations of the Second Grade Fluid Model" (2008). Department of Mathematics Facuty Scholarship and Creative Works. 119.
https://digitalcommons.montclair.edu/mathsci-facpubs/119
Published Citation
Massoudi, Mehrdad and Vaidya, Ashwin. "On some generalizations of the second grade fluid model." Nonlinear Analysis: Real World Applications, vol. 9, no. 3, Jul. 2008. https://doi.org/10.1016/j.nonrwa.2007.02.008