The Coulomb coupling parameter specifies if a plasma fluid is viscoelastic or not. In analogy with it, what is the parameter deciding whether a given neutral fluid (free from ions, radicals, or any other charged species) is viscoelastic?
The viscoelastic materials have a viscosity factor . Because viscoelastic materials have the viscosity factor, they have a strain rate dependent on time. Viscoelastic substance dissipates energy (heat) when a load is applied. The relevant parameter is the viscosity factor and the viscoelastic materials may depend on non-Newtonian law of viscosity unlike pure viscous material (water for example).
The interplay between the viscous and elastic properties over a period of time can give you a measure of the viscoelastic characteristics of the media. Also, note that elasticity exhibits instantaneously, but viscosity over a period of time for both Newtonian and non-Newtonian fluids. Check the ratio between E and eta over a some time period.
In your reply, you have mentioned, ".....Also, note that elasticity exhibits instantaneously, but viscosity over a period of time for both Newtonian and non-Newtonian fluids.....". Accordingly, the viscosity exhibits over a "period of time" for both Newtonian and non-Newtonian fluids. I am interested to know the "period of time" for both "Newtonian" and "non-Newtonian" fluids, at least approximately, as observed in Laboratories and in Galaxies.
Reference materials and books may be welcomingly mentioned.
A visco-plastic is material that behaves as a rigid body at low stresses but flows as a viscous fluid at high stress. It is named after Eugene C. Bingham who proposed its mathematical form.[1]
It is used as a common mathematical model of mud flow in drilling engineering, and in the handling of slurries. A common example is toothpaste which will not be extruded until a certain pressure is applied to the tube. It is then pushed out as a solid plug.
I would suggest to read the following reference:
Bingham, E.C. (1916). "An Investigation of the Laws of Plastic Flow". US Bureau of Standards Bulletin. 13: 309–353. doi:10.6028/bulletin.304