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A New Constitutive Relation for Describing the Flow through Porous Media with Unsaturated–Saturated Transition
Joint Authors
Martins-Costa, Maria Laura
Cunha da Silva, Daniel
Cunha da Silva, Michele
Martins Saldanha da Gama, Rogério
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The present work proposes an adequate constitutive relation to treat the process of filling with a fluid porous medium.
This relation assures the problem to remain hyperbolic when the porous medium is saturated by the fluid.
When the fluid fraction reaches porosity, the proposed constitutive relation increases the porous matrix resistance to more fluid inlet due to an important feature: it is a continuous and differentiable function with first derivative being also an increasing function.
This allows assuring that the fluid fraction may exceed the porosity only by a very small value, making the constitutive relation realistic.
Some examples compare this new constitutive relation with previous ones, highlighting its advantages.
American Psychological Association (APA)
Martins-Costa, Maria Laura& Cunha da Silva, Daniel& Cunha da Silva, Michele& Martins Saldanha da Gama, Rogério. 2019. A New Constitutive Relation for Describing the Flow through Porous Media with Unsaturated–Saturated Transition. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1194707
Modern Language Association (MLA)
Martins-Costa, Maria Laura…[et al.]. A New Constitutive Relation for Describing the Flow through Porous Media with Unsaturated–Saturated Transition. Mathematical Problems in Engineering No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1194707
American Medical Association (AMA)
Martins-Costa, Maria Laura& Cunha da Silva, Daniel& Cunha da Silva, Michele& Martins Saldanha da Gama, Rogério. A New Constitutive Relation for Describing the Flow through Porous Media with Unsaturated–Saturated Transition. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1194707
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194707