From first- to second-gradient fluids. Is it worth the effort?

Alfredo Marzocchi (Università Cattolica del Sacro Cuore, Italy)

Friday 13th May, 2022 15:30-16:15 Maths 311B


Second gradient fluids (which are different from second grade fluids) are fluids in which the total power expenditure depends on the second derivatives of the velocity field. They are used in a variety of models, from numerical analysis to complex fluid mechanics. Indeed, they are not just a model. Well, yes, they are, but in some sense they represent the simplest generalisation of a simple fluid, and also in the linear case they can be useful to describe some peculiar solutions like flows in thin structures. We will discuss pros and cons of this model and see some analytical results.

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