On some generalizations of the second grade fluid model

被引:44
作者
Massoudi, Mehrdad [1 ]
Vaidya, Ashwin [2 ]
机构
[1] Natl Energy Technol Lab, US Dept Energy, PO Box 10940, Pittsburgh, PA 15236 USA
[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
关键词
generalized second grade fluid; constitutive relations; temperature and shear dependent viscosity; viscometric flows; continuum mechanics;
D O I
10.1016/j.nonrwa.2007.02.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we provide it 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 call 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. Published by Elsevier Ltd.
引用
收藏
页码:1169 / 1183
页数:15
相关论文
共 69 条
[1]  
[Anonymous], APPL MATH
[2]  
[Anonymous], 2004, NONLINEAR FIELD THEO
[3]   SHEAR RHEOLOGY OF SEMIDILUTE POLY(METHYL METHACRYLATE) SOLUTIONS [J].
BERCEA, M ;
PEITI, C ;
SIMIONESCU, B ;
NAVARD, P .
MACROMOLECULES, 1993, 26 (25) :7095-7096
[4]  
Bird B., 1977, DYNAMICS POLYM LIQUI, V1
[5]   USEFUL NON-NEWTONIAN MODELS [J].
BIRD, RB .
ANNUAL REVIEW OF FLUID MECHANICS, 1976, 8 :13-34
[6]   MODEL POLYMER FLUID SYSTEMS [J].
BOGER, DV .
PURE AND APPLIED CHEMISTRY, 1985, 57 (07) :921-930
[7]   FLOW OF POWER-LAW FLUIDS IN CONE-PLATE VISCOMETER [J].
CHATURANI, P ;
NARASIMMAN, S .
ACTA MECHANICA, 1990, 82 (3-4) :197-211
[8]  
CIPU C, 2000, U BUCURESTI MAT ANAL, V49, P3
[9]  
Coleman B.D., 1965, Archive_for_Rational Mechanics_and_Analysis, V19, P100, DOI DOI 10.1007/BF00282277
[10]  
Coleman B. D., 1960, ARCH RATION MECH AN, V6, P355, DOI [10.1007/BF00276168, DOI 10.1007/BF00276168]