Global Dynamics of Shaft Lines Rotating in Surrounding Fluids Application to Thin Fluid Films

Fluid Dynamics Without Fluids

Fluid dynamics of dilatant fluids.

A dense mixture of granules and liquid often shows a severe shear thickening and is called a dilatant fluid. We construct a fluid dynamics model for the dilatant fluid by introducing a phenomenological state variable for a local state of dispersed particles. With simple assumptions for an equation of the state variable, we demonstrate that the model can describe basic features of the dilatant f...

architecture and engineering of nanoscale sculptured thin films and determination of their properties

چکیده ندارد.

Instabilities and waves in thin films of living fluids.

We formulate the thin-film hydrodynamics of a suspension of polar self-driven particles and show that it is prone to several instabilities through the interplay of activity, polarity, and the existence of a free surface. Our approach extends, to self-propelling systems, the work of Ben Amar and Cummings [Phys. Fluids 13 1160 (2001)10.1063/1.1359748] on thin-film nematics. Based on our estimates...

Some Theoretical Results concerning Diphasic Fluids in Thin Films

We are interested in a model for diphasic fluids in thin flows taking into account both the hydrodynamical and the chemical effects at the interface between the two fluids. A limit problem in “thin films” is introduced heuristically. It is a system coupling the Reynolds equation and the hydrodynamical Cahn-Hilliard equation. We study the mathematical properties of this system, and prove an exis...