A thermodynamical suspension model for blood
Fluid Dynamics
2025-06-03 v1 Mathematical Physics
math.MP
Biological Physics
Abstract
A complete thermodynamical analysis for a blood model, based on mixture theory, is performed. The model is developed considering the blood as a suspension of red blood cells (solid component) in the plasma (fluid component), and taking into account the temperature effects. Furthermore, two independent scalar internal variables are introduced accounting for additional dissipative effects. Using Clausius-Duhem inequality, the general thermodynamic restrictions and residual dissipation inequality are derived. The thermodynamic admissibility with the second law of thermodynamics is assessed by means of the extended Coleman-Noll procedure; in one space dimension we exhibit a solution of all the thermodynamical constraints.
Keywords
Cite
@article{arxiv.2506.00067,
title = {A thermodynamical suspension model for blood},
author = {M. Gorgone and C. F. Munafo' and A. Palumbo and P. Rogolino},
journal= {arXiv preprint arXiv:2506.00067},
year = {2025}
}
Comments
26 pages