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Unsteady flow of shear-thinning non-Newtonian incompressible fluid through a twin-screw extruderActa Mathematicae Applicatae Sinica, English Series, 32
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH Germany, part of Springer Nature
- Subject
- Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
- ISSN
- 0168-9673
- eISSN
- 1618-3932
- DOI
- 10.1007/s10255-018-0767-5
- Publisher site
- See Article on Publisher Site
Abstract
The full Navier-Stokes-Fourier system with mixed boundary condition that describes the motion of shear-thinning and incompressible viscous fluid in a rotating multi-screw extruder is investigated. The viscosity is assumed to depend on the shear rate and the temperature. The global existence of suitable weak solutions is established. The fictitious domain method which consists in filling the moving rigid screws with the surrounding fluid and taking into account the boundary conditions on these bodies by introducing a well-chosen distribution of boundary forces is used.
Journal
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Aug 9, 2018