English

Energetic variational approaches for non-Newtonian fluid systems

Mathematical Physics 2018-11-14 v1 math.MP

Abstract

We consider the dominant equations for the motion of the non-Newtonian fluid in a domain from an energetic point of view. We apply our energetic variational approaches and the first law of thermodynamics to derive the generalized compressible non-Newtonian fluid system. We also derive the generalized incompressible non-Newtonian fluid system by using our energetic variational approaches.

Keywords

Cite

@article{arxiv.1705.06956,
  title  = {Energetic variational approaches for non-Newtonian fluid systems},
  author = {Hajime Koba and Kazuki Sato},
  journal= {arXiv preprint arXiv:1705.06956},
  year   = {2018}
}