Experimental and theoretical aspects of non-Newtonian flows

In non-Newtonian fluid mechanics, the basic problem may be stated as follows: given the availability of some simple (usually rheometrical) data for a test fluid, can one predict the behavior of that fluid in a more complex flow? This exercise involves the construction of suitable rheological equations of state; the solution of these, taken together with the familar equations of motion and continuity for some complex flow; and hopefully the comparison of the theoretical results with experimental data. Emphasis is placed on materials with memory (i.e., non-Newtonian elastic liquid) and with flow problems with rather complex geometries; so that numerical methods of solution are indispensable.