Newtonian and Non-Newtonian Fluids through Permeable Boundaries
Joint Authors
Maritz, Riëtte
Doungmo Goufo, Emile Franc
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-01
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We considered the situation where a container with a permeable boundary is immersed in a larger body of fluid of the same kind.
In this paper, we found mathematical expressions at the permeable interface Γ of a domain Ω , where Ω ⊂ R 3 .
Γ is defined as a smooth two-dimensional (at least class C 2 ) manifold in Ω .
The Sennet-Frenet formulas for curves without torsion were employed to find the expressions on the interface Γ .
We modelled the flow of Newtonian as well as non-Newtonian fluids through permeable boundaries which results in nonhomogeneous dynamic and kinematic boundary conditions.
The flow is assumed to flow through the boundary only in the direction of the outer normal n, where the tangential components are assumed to be zero.
These conditions take into account certain assumptions made on the curvature of the boundary regarding the surface density and the shape of Ω ; namely, that the curvature is constrained in a certain way.
Stability of the rest state and uniqueness are proved for a special case where a “shear flow” is assumed.
American Psychological Association (APA)
Maritz, Riëtte& Doungmo Goufo, Emile Franc. 2014. Newtonian and Non-Newtonian Fluids through Permeable Boundaries. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1046343
Modern Language Association (MLA)
Maritz, Riëtte& Doungmo Goufo, Emile Franc. Newtonian and Non-Newtonian Fluids through Permeable Boundaries. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1046343
American Medical Association (AMA)
Maritz, Riëtte& Doungmo Goufo, Emile Franc. Newtonian and Non-Newtonian Fluids through Permeable Boundaries. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1046343
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046343