CFD Codes and the Onsager Relations

Mihály Makai, Hungary, BME NTI/ KFKI AEKI

18th Symposium of AER on VVER Reactor Physics and Reactor Safety (2008, Eger, Hungary)
CFD, Hydraulic calculations

Abstract

CFD CODES AND THE ONSAGER RELATIONS
?
MIHALY MAKAI
Abstract. In the last decade, papers appeared in the literature discussing
a shortcoming of the basic equations of hydrodynamics: the Navier-Stokes
equations do not meet the Onsager symmetry relations. Recently R. Streater
wrote about the topic. The basic problem is that the solution to the Boltzmann equation f (r, v, t) depends on seven variable, nevertheless the solution
of the Navier-Stokes equation yields T (r, t), v(r, t) and ?(r, t)-the temperature, velocity and density distribution, altogether ?ve functions. Clearly, the
solution class of the Boltzmann equation is a broader class than the solution
class of the Navier-Stokes equation. What is the importance of that question?
Are the results of CFD codes questionable ones or, the contradiction can be
resolved by some ignored terms of second order?

Presentation / full paper