Abstract
The new possibilities arising from the quantitative description of the dynamics of heat and mass transport are presented. The new postulated form of the momentum flux is applied in a general case of transport in continuum (homogeneous multicomponent system in nonequilibrium). This approach results in:
i) conservation equations in a viscous, compressible media (the equation of motion and the internal energy conservation equation), the simplified formulas for ii) “ideal compressible media (showing negligible both, diffusivity and viscosity) and, the equations of motion for the isothermal transport in iii) multicomponent solids and gases. It is shown that, in the non-viscous compressible medium, the I law can be derived from the postulated formulas. The conservation equations and appropriate expressions defining the fluxes of mass, momentum and heat, allow a quantitative description of a nonreversible process to be obtained.
The presented phenomenology emphasizes i) the limitations of the second Fick's and Fourier's laws and suggests ii) the directions of practical applications of this phenomenology in the development of the new experimental methods.