Continuum mechanics principles are applied to standard balance equations assuming constitutive equations carried out to first derivatives of density, temperature, and velocity. Using the principles of isotropy, frame invariance, and equipresence, I obtain constitutive equations for the Helmholtz free energy, entropy, entropy flux, extra entropy flux, and Cauchy stress tensor that satisfy the Clausius-Duhem inequality. As in a good movie, I do not want to give away the ending, but I promise that there will be surprises!
26 Giugno 2025