University of Minnesota
Aerospace Engineering and Mechanics
Winter 1999 Seminar Series
Boltzman Equation, Chapman-Enskog Expansion, and Rivlin-Ericksen
The classical Chapman-Enskog expansion provides a bridge between the
kinetic description of gas dynamics and continuum mechanics. However truncation
of this expansion beyond (first) Navier Stokes order yields instability of the
rest state. A special case of Chapman-Enskog is obtained when the constraint of
constant density is imposed: the Rivlin-Ericksen fluid which of course exhibits
the same instability phenomena upon truncation. This talk illustrates how an
approximate sum of the Chapman-Enskog expansion eliminates the instability
paradox via derivation of a generalized Clausius-Duhem inequality.
Friday, February 5, 1999
Refreshments served after the seminar in
227 Akerman Hall.
Disability accomodations provided upon request.
Contact Kristal Belisle, Senior