scholarly journals Smoldering of porous media: numerical model and comparison of calculations with experiment

2017 ◽  
Vol 894 ◽  
pp. 012054 ◽  
Author(s):  
N A Lutsenko ◽  
V A Levin
Keyword(s):  
Porous Media ◽  
Numerical Model

Numerical Simulation of Insulin Depot Formation and Absorption in Subcutaneous Tissue Modeled as a Homogeneous Anisotropic Porous Media

2021 ◽  
Author(s):  
Michael Zedelmair ◽  
Abhijit Mukherjee
Keyword(s):  
Porous Media ◽  
Numerical Model ◽  
Insulin Pump ◽  
Subcutaneous Tissue ◽  
Saturated Porous Media ◽  
Anisotropic Porous Media ◽  
Effective Option ◽  
Computational Fluid Dynamics Cfd ◽  
Experimental Findings ◽  
Subcutaneous Adipose

Abstract In this study, a numerical model of the insulin depot formation and absorption in the subcutaneous adipose tissue is developed using the commercial Computational Fluid Dynamics (CFD) software. A better understanding of these mechanisms can be helpful in the development of new devices and cannula geometries as well as predicting the concentration of insulin in the blood. The injection method considered in this simulation is by the use of an insulin pump using a rapid acting U100 insulin analogue. The depot formation is analyzed running Bolus injections ranging from 5-15 units of insulin corresponding to 50-150µl. The insulin is injected into the subcutaneous tissue in the abdominal region. The tissue is modeled as a fluid saturated porous media. An anisotropic approach to define the tissue permeability is studied by varying the value of the porosity in parallel and perpendicular direction having an impact on the viscous resistance to the flow. Following recent experimental findings this configuration results in a disk shaped insulin depot. To be able to run the simulation over longer timeframes the depot formation model has been extended implementing the process of absorption of insulin from the depot. The developed model is then used to analyze the formation of the insulin depot in the tissue when using different flow rates and cannula geometries. The numerical model is an effective option to evaluate new cannula designs prior to the manufacturing and testing of prototypes, which are rather time consuming and expensive.

Numerical Model of Complex Porous Media

2002 ◽  
Author(s):  
Andre´ Chambarel ◽  
Herve´ Bolvin
Keyword(s):  
Porous Media ◽  
Numerical Model ◽  
Physical Properties ◽  
Space Distribution ◽  
Partial Differential ◽  
Differential Problem ◽  
Classical Models ◽  
Element Approach ◽  
Statistical Approaches ◽  
Percolation Phenomenon

In complex porous media we often notice a percolation phenomenon [KIR 71] [GRI 89]. Usually these media present discontinuous characteristics and a random space distribution [LET 00] [BIR 95]. There results that the classical models based on the resolution of a partial differential problem become inefficient because we have non-derivable function [MAU 01]. Statistical approaches based on the resolution of partial differential problems pose notably the questions concerning the continuity of the functions representing the physical properties of the medium. In this work we propose to study a numerical model of porous media based on a mixture of 2 components in a percolation context. In practice, the main difficulty is based on the complex physical properties. We present also a model of homogenization. Our numerical model is based on the Finite Element approach.

scholarly journals A numerical analysis of the thermohydraulics of an EGS project in Turkey

2018 ◽  
Vol 240 ◽  
pp. 05001
Author(s):  
Ali Cemal Benim ◽  
Aydin Cicek ◽  
Arif Mert Eker
Keyword(s):  
Porous Media ◽  
Numerical Model ◽  
Numerical Solutions ◽  
Numerical Study ◽  
Domain Size ◽  
Geothermal System ◽  
Enhanced Geothermal System ◽  
Discretization Scheme ◽  
Modelling Assumptions ◽  
System Project

A numerical study of the thermohydraulics of an enhanced geothermal system project in Turkey is presented. The solid structures are modelled as porous media, using the numerically determined hydraulic fracturing data of other authors. The influence of several numerical modelling aspects such as the domain size, grid resolution, temporal resolution as well as the discretization scheme are investigated and assessed to obtain highly accurate numerical solutions under the applied modelling assumptions. Using the suggested mathematical and numerical model, different production scenarios are investigated.

Further Development and Studies of Gas Methods in Matrix Diffusion

1993 ◽  
Vol 333 ◽  
Author(s):  
Kari Hartikainen ◽  
K. Väätäinen ◽  
A. Hautojärvi ◽  
J. Timonen
Keyword(s):  
Porous Media ◽  
Numerical Model ◽  
Water Flow ◽  
Present Status ◽  
Gas Flow ◽  
Hydrodynamic Dispersion ◽  
Matrix Diffusion ◽  
Flow Experiment ◽  
Further Development ◽  
Flow Experiments

ABSTRACTThe present status of the recently introduced gas method equipment for migration studies of fractured and porous media is briefly reviewed together with advances in the experimental techniques. The conditions under which matrix diffusion can be observed in both gas flow and water flow experiments are discussed in some detail. Results for a gas flow experiment are shown, and explained with a numerical model which incorporates the effects of hydrodynamic dispersion and matrix diffusion. The necessary parameters for a corresponding water flow experiment are also briefly discussed.

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