![]() īoth the Doll s and SLLOD algorithms are correct in the limit of zero-shear rate. The final result for a long linear non-draining chain is. Now, the linear equations are used to evaluate an averaged crossed component of the stress tensor on unit i. In this case it is necessary to assume the presence of a small amount of shear rate, which cancels out in the calculations. Ī similar KR approach can be employed for the intrinsic viscosity. The shear rale is defined as the second invariant of the rate of deformation tensor as (Bird et at., 1977). Therefore in the application of finite element schemes to non- Newtonian flow, shear rate at the elemental level should be calculated and used to update the fluid viscosity. In these relationships fluid viscosity is given as a function of shear rate and material parameters. Incorporation of viscosity variations in non-elastic generalized Newtonian flow models is based on using empirical rheological relationships such as the power law or Carreau equation, described in Chapter 1. Rate-of-deformation tensor Shear rate (a scalar).
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