>>I became acquainted with continuum mechanics and NS over two decades
>>ago. I had strong doubts right in my intro class in Calif. I have
>>pondered the theory for many years, found answers to the questions I
>>asked, and found - much to my dismay - that
>>
>>(a) continuum mechanics is not compatible with thermodynamics,
>>
>>(b) with this view I am not at all alone,
>>
>>(c) even those who published, or told me in direct conversation that
>>they feel likewise, did not really try to solve the disparity.
If all you have is a Navier Stokes equation and a continuity equation,
that's not enough.
You need the equations for density, velocity, and temperature, and an
equation of state for pressure. Assuming you put in the dissipation
correctly (viscosity/viscous heating, thermal conduction/heat flux), you
can show all the theorems of thermodynamics are satisfied.
Look up textbooks which treat "process thermodynamics" and make sure
among the ingredients is a derivation of the entropy production equation
and a proof of Onsager symmetry.
--
ciao,
Bruce
drift wave turbulence: /~bds/