where  is specific enthalpy,  is dissipation function and  is temperature. And where
i.e. internal energy per unit volume equals mass density times the sum of: proper energy per unit mass, kinetic energy per unit mass, and gravitational potential energy per unit mass.
i.e. change in heat per unit volume (negative divergence of heat flow) equals the divergence of heat conductivity times the gradient of the temperature.
i.e. divergence of work done against stress equals flow of material times divergence of stress plus stress times divergence of material flow.
i.e. stress times divergence of material flow equals deviatoric stress tensor times divergence of material flow minus pressure times material flow.
i.e. enthalpy per unit mass equals proper energy per unit mass plus pressure times volume per unit mass (reciprocal of mass density).