A hyperbolic mathematical modeling for describing the transition saturated/unsaturated in a rigid porous medium

2017 ◽  
Vol 95 ◽  
pp. 168-177 ◽  
Author(s):  
Maria Laura Martins-Costa ◽  
Dario Monte Alegre ◽  
Felipe Bastos de Freitas Rachid ◽  
Luiz Guilherme C.M. Jardim ◽  
Rogério M. Saldanha da Gama
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium

Modified Reynolds Equation for Aerostatic Porous Radial Bearings With Quadratic Forchheimer Pressure-Flow Assumption

2007 ◽  
Author(s):  
Rodrigo Nicoletti ◽  
Zilda C. Silveira ◽  
Benedito M. Purquerio
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium ◽  
Linear Model ◽  
Dynamic Characteristics ◽  
Reynolds Equation ◽  
Dimensional Parameter ◽  
Pressure Flow ◽  
Darcy Model ◽  
Linear Effects ◽  
Modified Reynolds Equation

The mathematical modeling of aerostatic porous bearings, represented by the Reynolds equation, depends on the assumptions for the flow in the porous medium. One proposes a modified Reynolds equation based on the quadratic Forchheimer assumption, which can be used for both linear and quadratic conditions. Numerical results are compared to those obtained with the linear Darcy model. It is shown that, the non-dimensional parameter Φ, related to non-linear effects, strongly affects the bearing dynamic characteristics, but for values of Φ > 10, the results tend to those obtained with the linear model.

Mathematical Modeling of Chemotactic Bacterial Transport through a Two-Dimensional Heterogeneous Porous Medium

2006 ◽  
Vol 10 (1-2) ◽  
pp. 13-23 ◽  
Author(s):  
Mira Stone Olson ◽  
Roseanne M. Ford ◽  
James A. Smith ◽  
Erik J. Fernandez
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium ◽  
Bacterial Transport ◽  
Two Dimensional ◽  
Heterogeneous Porous Medium

Mathematical Modeling of Biomagnetic Flow in a Micropolar Fluid-Saturated Darcian Porous Medium

2007 ◽  
Vol 34 (5) ◽  
pp. 403-424 ◽  
Author(s):  
Osman Anwar Beg ◽  
Harmindar S. Takhar ◽  
R. Bhargava ◽  
S. Sharma ◽  
T.-K. Hung
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium ◽  
Micropolar Fluid

scholarly journals Modelling of Permeation Grouting Through Soils

2020 ◽  
Vol 10 (1) ◽  
pp. 11-16
Author(s):  
S. B. Coskun ◽  
T. Tokdemir
Keyword(s):  
Mathematical Modeling ◽  
Numerical Simulation ◽  
Finite Element ◽  
Porous Medium ◽  
Capillary Pressure ◽  
Immiscible Fluids ◽  
Saturated Soils ◽  
Governing Equations ◽  
Permeation Grouting ◽  
Element Technique

AbstractIn this study, mathematical modeling of permeation grouting through fully saturated soil is proposed based on immiscible multiphase flow theory. Grout flow in the medium is modeled together with the existing water as the simultaneous flow of two immiscible fluids. In the model, the porous medium is assumed as isotropic and rigid, fluids are assumed as incompressible and capillary pressure is assumed as negligible. Governing equations are discretized using upstream weighted finite element technique and results show that, proposed models give good results and may be used in the numerical simulation of grouting through fully saturated soils.

scholarly journals MATHEMATICAL MODELING OF WOOD DRYING PROCESS

2002 ◽  
Vol 7 (2) ◽  
pp. 177-190 ◽  
Author(s):  
R. Čiegis ◽  
V. Starikovičius
Keyword(s):  
Mathematical Modeling ◽  
Porous Medium ◽  
Moisture Transport ◽  
Phase System ◽  
Transport Mechanisms ◽  
Drying Process ◽  
Wood Drying ◽  
Moisture Movement ◽  
Flow Models ◽  
Three Phase

This work focuses on the development of mathematical models describing moisture movement in wood, when the wood is considered as porous medium. Main moisture transport mechanisms are discussed. It is shown how the wood can be described as a two‐ or three‐phase system. Summaries of several multiphase flow models are presented in the hierarchical order: from the most general models to more simple examples. The approximation steps are described explicitly, and all assumptions are given in detail. It shown how models for specific applications in wood drying or saturation can be obtained.

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