A thermodynamical suspension model for blood

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.

26 pages

References in corpus (6)

• Continuum thermodynamics of chemically reacting fluid mixtures
• Identification of an average temperature and a dynamical pressure in a multitemperature mixture of fluids
• A non-linear fluid suspension model for blood flow
• Weakly nonlocal thermodynamics of binary mixtures of Korteweg fluids with two velocities and two temperatures
• Continua with non-local constitutive laws: exploitation of entropy inequality
• Thermodynamical analysis and constitutive equations for a mixture of viscous Korteweg fluids