Fluids Under Driven Flow and Shear Pressure

What is it about?

This nonlinear higher-order hydrodynamics is applied, in an illustration, to the case of a dilute solution of Brownian particles in non-equilibrium conditions and flowing in a solvent acting as a thermal bath. This is done in the framework of such generalized hydrodynamics.

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Photo by Sharon McCutcheon on Unsplash

Photo by Sharon McCutcheon on Unsplash

Why is it important?

It was derived a generalized hydrodynamics of fluids under driven flow and shear stress in the context of a non-equilibrium statistical thermodynamics based on a non equilibrium statistical ensemble formalism. The non-equilibrium equations of state (which are coupled to the evolution of the basic variables that describe the hydrodynamic motion of the system) were derived. The information-theoretic entropy, its rate of change, and the quasi-free energy and quasi-chemical potential in nonequilibrium conditions were derived and discussed. Generalized diffusion-advection and Maxwell-Cattaneo advection equations were obtained in appropriate limiting situations. As an illustration, this nonlinear higher-order hydrodynamics was applied to the case of a dilute solution of Brownian particles in non-equilibrium conditions and flowing in a solvent acting as a thermal bath in the framework of such generalized hydrodynamics but truncated up to a second order.