Theory of a second-order microfluid
To characterize the motion of fluids for which the microstructure of the given material is of the essence, Eringen (1) proposed a theory of “simple microfluids”. Microstructure in the fluid may be due to the fact that the given body is a composite of two or more different types of material, e.g. a suspension, or that the body while constituting a single type of a material is characterized by nonhomogeneous local motions such as eddies in a turbulent flow. Since local “micro-motion” is taken into account, the theory provides a mechanism whereby a wide variety of fluid flow problems traditionally treated in a statistical manner may be considered in a continuum formulation. Such an application is given by Eringen and Chang (2) in which a particular case of the theory is used to describe a simple problem in hydrodynamic turbulence.
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