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Phan Thien-Tanner differential equation

A differential constitutive equation the Phan-Thien Tanner mod ... [Pg.156]

These constitutive equations differ in their mathematical form the Wagner equation is an integral equation whereas the Phan Thien Tanner model is a differential one. [Pg.190]

Differential models obtained by replacing the ordinary time derivative in Eq. 10.21 by one that can describe large, rapid deformations are able to describe some nonlinear viscoelastic phenomena, but only qualitatively. To improve on such models, it is necessary to introduce additional nonlinearity into the equation. In the popular Phan-Thien/Tanner model, the Gordon-Schowalter convected derivative is used, and nonlinearity is introduced by multiplying the stress term by a function of the trace of the stress tensor. The Giesekus and Leonov models are other examples of nonlinear differential models. All of the models mentioned above are described in the monograph by Larson [7j. [Pg.340]

Phan-Thien N, Pham DC (2000) Differential multiphase models for polydispersed spheroidal inclusions thermal conductivity and effective viscosity. Int J Eng. Sci 38 73-88 Phan-Thien N, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newtonian Fluid Mech 2 353-365... [Pg.173]

See other pages where Phan Thien-Tanner differential equation is mentioned: [Pg.190]    [Pg.290]    [Pg.333]    [Pg.189]    [Pg.133]    [Pg.167]   
See also in sourсe #XX -- [ Pg.167 ]



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Phan-Thien/Tanner equation

Tanner

Tanner equation

Thien

Thienes

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