On the Flow of a Viscoplastic Fluid in a Thin Periodic Domain
- Resource Type
- Authors
- María Anguiano; Renata Bunoiu
- Source
- Integral Methods in Science and Engineering ISBN: 9783030160760
Integral Methods in Science and Engineering : Analytic Treatment and Numerical Approximations
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⟩
Integral Methods in Science and Engineering, Birkhäuser
Integral Methods in Science and Engineering, Birkhäuser, pp.15-24, 2019
- Subject
- Physics
Viscoplasticity
010102 general mathematics
Zero (complex analysis)
Mechanics
01 natural sciences
Domain (mathematical analysis)
Physics::Fluid Dynamics
010101 applied mathematics
Nonlinear system
Flow (mathematics)
Compressibility
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
Limit (mathematics)
0101 mathematics
Bingham plastic
ComputingMilieux_MISCELLANEOUS
- Language
International audience; 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.