Closed‐form material functions for semidilute fiber suspensions
作者:
N. Malamataris,
T. C. Papanastasiou,
期刊:
Journal of Rheology
(AIP Available online 1991)
卷期:
Volume 35,
issue 3
页码: 449-464
ISSN:0148-6055
年代: 1991
DOI:10.1122/1.550228
出版商: The Society of Rheology
关键词: Fiber suspensions, rheology of;Dinh–Armstrong equation;Finger strain tensor;Composite processing;SUSPENSIONS;VISCOSITY;FIBERS;DEFORMATION;TENSORS;RHEOLOGY;SHEAR FLOW;EQUATIONS OF STATE;ELONGATION
数据来源: AIP
摘要:
The Dinh–Armstrong constitutive equation is used to derive analytic expressions for the viscosity and the normal stress difference in shear and elongational deformation of nondilute, slender‐fiber suspensions in Newtonian media. This is achieved by approximating the fourth order orientation tensor of the integral constitutive equation with the components of the Finger strain tensor according to Currie’s expressions that relate the strain tensor to flow kinematics. The derived analytic expressions are in agreement with the numerical results given by Dinh–Armstrong in simple shear flow. In elongation, although the magnitude of the dimensionless viscosity at start up and steady state are identical, there is a quantitative disagreement in the values inbetween. Approximations to the fourth order orientation tensor are also derived for any two‐ or three‐dimensional mixed flow of the same suspensions.
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