On the flow of a viscoplastic fluid in a thinperiodic domain

María Anguiano (1) , Renata Bunoiu (2)

1 Universidad de Sevilla = University of Seville
2 IECL - Institut Élie Cartan de Lorraine

We study the steady nonlinear flow of an incompressible viscoplastic Bingham fluid in a thin periodic domain. A main feature of our study is the dependence of the yield stress of the fluid on the small parameter ε describing the geometry of the thin periodic domain. The passage to the limit when ε tends to zero provides a limit problem preserving the nonlinear character of the flow.

Domaines: Equations aux dérivées partielles [math.AP]

María Anguiano, Renata Bunoiu. On the flow of a viscoplastic fluid in a thinperiodic domain. Integral Methods in Science and Engineering : Analytic Treatment and Numerical Approximations, Birkhäuser, pp.15-24, 2019, 978-3-030-16076-0. ⟨10.1007/978-3-030-16077-7_2⟩. ⟨hal-03264746⟩