Filtration of liquids when heated by electromagnetic radiation

2002 ◽  
Vol 3 ◽  
pp. 220-231
Author(s):  
U.R. Ilyasov ◽  
A.L. Galeev
Keyword(s):  
Porous Medium ◽  
Thermal Expansion ◽  
Phase Transitions ◽  
Electromagnetic Radiation ◽  
Analytical Solutions ◽  
Microwave Range ◽  
Fluid Filtration ◽  
One Dimensional ◽  
Electromagnetic Action

We consider one-dimensional problems of fluid filtration in The porous medium is subjected to the electromagnetic action of a microwave (Microwave) range, taking into account the thermal expansion of the liquid and the phase transitions. Analytical solutions of problems are obtained on the basis of which The influence of the properties of the system

scholarly journals On the existence of global solution of the system of equations of liquid movement in porous medium

2021 ◽  
Vol 234 ◽  
pp. 00095
Author(s):  
Margarita Tokareva ◽  
Alexander Papin
Keyword(s):  
Porous Medium ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Global Solvability ◽  
Compressible Liquid ◽  
Fluid Filtration ◽  
One Dimensional ◽  
Lagrangian Variables ◽  
Initial Boundary Value ◽  
Liquid Movement

The initial-boundary value problem for the system of one-dimensional isothermal motion of viscous liquid in deformable viscous porous medium is considered. Local theorem of existence and uniqueness of problem is proved in case of compressible liquid. In case of incompressible liquid the theorem of global solvability in time is proved in Holder classes. A feature of the model of fluid filtration in a porous medium considered in this paper is the inclusion of the mobility of the solid skeleton and its poroelastiс properties. The transition from Euler variables to Lagrangian variables is used in the proof of the theorems.

Conservative solute transport with periodic velocity and sinusoidal source concentration in semi-infinite porous media: An analytical solution

2014 ◽  
Vol 6 (1) ◽  
pp. 1024-1031
Author(s):  
R R Yadav ◽  
Gulrana Gulrana ◽  
Dilip Kumar Jaiswal
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Laplace Transformation ◽  
Seepage Velocity ◽  
Transformation Technique ◽  
Numerical Examples ◽  
One Dimensional ◽  
Porous Domain ◽  
Conservative Solute Transport ◽  
Source Concentration

The present paper has been focused mainly towards understanding of the various parameters affecting the transport of conservative solutes in horizontally semi-infinite porous media. A model is presented for simulating one-dimensional transport of solute considering the porous medium to be homogeneous, isotropic and adsorbing nature under the influence of periodic seepage velocity. Initially the porous domain is not solute free. The solute is initially introduced from a sinusoidal point source. The transport equation is solved analytically by using Laplace Transformation Technique. Alternate as an illustration; solutions for the present problem are illustrated by numerical examples and graphs.

Transient convective diffusion to a uniformly accessible surface under aparent slip conditions

1991 ◽  
Vol 56 (2) ◽  
pp. 334-343
Author(s):  
Ondřej Wein
Keyword(s):  
Power Law ◽  
Analytical Solutions ◽  
Convective Diffusion ◽  
Active Surface ◽  
Velocity Profiles ◽  
One Dimensional ◽  
Slip Conditions ◽  
Accessible Surface ◽  
Diffusion Problems

Analytical solutions are given to a class of unsteady one-dimensional convective-diffusion problems assuming power-law velocity profiles close to the transport-active surface.

scholarly journals Quantum phase transitions in a quasi-one-dimensional Ising quantum magnet in transverse fields

2021 ◽  
Vol 103 (14) ◽  
Author(s):  
Xiaowen Zhang ◽  
Zheng He ◽  
Yiqing Hao ◽  
Yao Shen ◽  
Shoudong Shen ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
One Dimensional ◽  
Quantum Magnet ◽  
Transverse Fields

Stress and temperature-induced phase transitions and thermal expansion in (001)-cut PMN-31PT single crystal

2015 ◽  
Vol 652 ◽  
pp. 287-291 ◽  
Author(s):  
Xiaojuan Li ◽  
Zengzhe Xi ◽  
Peng Liu ◽  
Wei Long ◽  
Pinyang Fang
Keyword(s):  
Thermal Expansion ◽  
Phase Transitions ◽  
Single Crystal

Thermal expansion and phase transitions in K1 − x Rb x BSi2O6 leucite borosilicate solid solutions

2008 ◽  
Vol 34 (4) ◽  
pp. 436-442 ◽  
Author(s):  
M. I. Georgievskaya ◽  
R. S. Bubnova ◽  
S. K. Filatov ◽  
V. L. Ugolkov
Keyword(s):  
Thermal Expansion ◽  
Phase Transitions ◽  
Solid Solutions
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