A non-equilibrium thermodynamic theory of flow through deformable porous media

1978 ◽  
Vol 30 (3-4) ◽  
pp. 259-274 ◽  
Author(s):  
R. C. Koeller ◽  
A. Zebib
Keyword(s):  
Porous Media ◽  
Thermodynamic Theory ◽  
Equilibrium Thermodynamic ◽  
Deformable Porous Media ◽  
Theory Of Flow ◽  
Flow Through ◽  
Non Equilibrium

SHOCK PROPAGATION IN A FLOW THROUGH DEFORMABLE POROUS MEDIA: ASYMPTOTIC BEHAVIOUR AS THE POROSITY APPROXIMATES A CONSTANT

2007 ◽  
Vol 17 (08) ◽  
pp. 1261-1278
Author(s):  
ELENA COMPARINI ◽  
MAURA UGHI
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Hydraulic Conductivity ◽  
Asymptotic Behaviour ◽  
Incompressible Flow ◽  
Shock Propagation ◽  
One Dimensional ◽  
Deformable Porous Media ◽  
Flux Intensity ◽  
Flow Through

We consider a one-dimensional incompressible flow through a porous medium undergoing deformations such that the porosity and the hydraulic conductivity can be considered as functions of the flux intensity. We prove that if one approximates the porosity with a constant then the solution of the hyperbolic problem converges to the classical continuous Green–Ampt solution, also in the presence of shocks. In general, however, the shocks remain present in any approximating solution.

scholarly journals Non-Equilibrium Thermodynamic Theory of 4-Component Lead-Free Solder

2009 ◽  
Vol 50 (2) ◽  
pp. 236-244
Author(s):  
Kenichiro Suetsugu ◽  
Atsushi Yamaguchi ◽  
Kazumi Matsushige ◽  
Toshihisa Horiuchi
Keyword(s):  
Thermodynamic Theory ◽  
Lead Free ◽  
Lead Free Solder ◽  
Equilibrium Thermodynamic ◽  
Free Solder ◽  
Non Equilibrium

Hydrolysis-induced large swelling of polyacrylamide hydrogels

Soft Matter ◽  
2020 ◽  
Vol 16 (24) ◽  
pp. 5740-5749
Author(s):  
Yu Zhou ◽  
Lihua Jin
Keyword(s):  
Thermodynamic Theory ◽  
Equilibrium Thermodynamic ◽  
Polyacrylamide Hydrogels ◽  
Non Equilibrium

A non-equilibrium thermodynamic theory is developed to predict hydrolysis-induced large swelling of polyacrylamide hydrogels.

Fluid Flow Through a Class of Highly-Deformable Porous Media. Part II: Experiments With Water

1981 ◽  
Vol 103 (3) ◽  
pp. 440-444 ◽  
Author(s):  
G. S. Beavers ◽  
K. Wittenberg ◽  
E. M. Sparrow
Keyword(s):  
Porous Media ◽  
Fluid Flow ◽  
Water Flow ◽  
Flow Measurements ◽  
Static Compression ◽  
Deformable Porous Media ◽  
Flow Parameters ◽  
Flow Through ◽  
Water Saturated ◽  
Aging Phenomena

Experiments were performed to explore the relationships between liquid-saturated and gas-saturated deformable porous media. Water and air served as the participating fluids. From quasi-static compression experiments (no fluid flow), it was found that the force required to compress a given deformable porous material is substantially less when the material is water-saturated than when it is in air. Water flow measurements yielded flow rate-pressure drop results which are compared with analytical predictions. The predictions were based on input values of certain material flow parameters which had been determined in previous air flow experiments. The observed level of agreement between the predictions and the water flow measurements lends support to the notion that the flow parameters are independent of the participating fluid. In the course of establishing the effects of the participating fluid, the stress relaxation and aging phenomena were quantified. The former is a relaxation of the internal stress in a deformable material which occurs after a compression is imposed and maintained. The latter is a process whereby the deformation characteristics change when the material is subjected to a succession of compressions.

Non-equilibrium Thermodynamic Theory of Ferroelectric Phase Transitions

2015 ◽  
Vol 481 (1) ◽  
pp. 166-188 ◽  
Author(s):  
Shu-Tao Ai ◽  
Hui-Ping Bo ◽  
Shao-Yin Zhang ◽  
Yuan-Zhen Cai
Keyword(s):  
Phase Transitions ◽  
Ferroelectric Phase ◽  
Thermodynamic Theory ◽  
Equilibrium Thermodynamic ◽  
Ferroelectric Phase Transitions ◽  
Non Equilibrium
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