Non-Newtonian Effects In Viscous Flows
Report presents theoretical study addressing persistent problem of explaining random aspects of flows of real fluids in terms of classical governing equations.
Zak, Michail↗
Engineering topics
Meyers, Ronald E.
Publications and source records attributed to Meyers, Ronald E..
Non-newtonian Effects in Viscous Flows
Revision of the mathematical formalism of fluid dynamics suggests that some physical inconsistencies (infinite time of approaching equilibrium and fully deterministic solutions to the Navier-Stokes equations) can be removed by relaxing the Lipschitz conditions, i.e., the boundedness of the derivatives, in the constitutive equations. Physically such a modification can be interpreted as an incorporation of an infinitesimal static friction in the constitutive law. A modified version of the Navier-Stokes equations is introduced, discussed, and illustrated by examples. It is demonstrated that all the new effects in the modified model emerge within vanishingly small neighborhoods of equilibrium states which are the only domains where the governing equations are different from classical.
Zak, Michail↗