Nonlinear Fluid Dynamics Description of non-Newtonian Fluids

Details Nonlinear Fluid Dynamics Description of non-Newtonian Fluids Nonlinear Fluid Dynamics Description of non-Newtonian Fluids

2004-04-06

arxiv.org/abs/cond-mat/0404137v1

Physics

Condensed Matter

Soft Condensed Matter

Acta Rheologica

Scientific paper

10.1007/s00397-004-0365-8

Nonlinear hydrodynamic equations for visco-elastic media are discussed. We start from the recently derived fully hydrodynamic nonlinear description of permanent elasticity that utilizes the (Eulerian) strain tensor. The reversible quadratic nonlinearities in the strain tensor dynamics are of the 'lower convected' type, unambiguously. Replacing the (often neglected) strain diffusion by a relaxation of the strain as a minimal ingredient, a generalized hydrodynamic description of viscoelasticity is obtained. This can be used to get a nonlinear dynamic equation for the stress tensor (sometimes called constitutive equation) in terms of a power series in the variables. The form of this equation and in particular the form of the nonlinear convective term is not universal but depends on various material parameters. A comparison with existing phenomenological models is given. In particular we discuss how these ad-hoc models fit into the hydrodynamic description and where the various non-Newtonian contributions are coming from.

Affiliated with

Also associated with

No associations

Rating

Nonlinear Fluid Dynamics Description of non-Newtonian Fluids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Nonlinear Fluid Dynamics Description of non-Newtonian Fluids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear Fluid Dynamics Description of non-Newtonian Fluids will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-600821