An Analytical Solution and Sensitivity Study of Sublimation-Dehydration Within a Porous Medium With Volumetric Heating

A study of sublimation-dehydration within a porous medium as a result of volumetric heating, such as that associated with microwave heating, is presented in this paper. A semi-infinite frozen porous medium with constant thermal properties subject to a sublimation-dehydration process involving a volumetric heat source is considered. One-dimensional analytical solutions for dimensionless temperature, vapor concentration, and pressure were obtained. A sensitivity study was also conducted in which the effects of the material properties inherent in these solutions were analyzed. Finally, some of the assumptions used in the formulation of the problem were analyzed, and predicted drying curves were found to compare reasonably with previously published experimental results.

Download Full-text

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

JOURNAL OF ADVANCES IN PHYSICS ◽

10.24297/jap.v6i1.1818 ◽

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.

Download Full-text

Simulation of volumetric heating of a moist medium with allowance for fluid mobility

Proceedings of the Mavlyutov Institute of Mechanics ◽

10.21662/uim2012.1.017 ◽

2012 ◽

Vol 9 (1) ◽

pp. 91-93

Author(s):

U.R. Ilyasov ◽

A.V. Dolgushev

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Numerical Solution ◽

Heat And Mass Transfer ◽

Transfer Process ◽

Thermal Action ◽

Mass Transfer Process ◽

Low Permeability ◽

Volumetric Heating ◽

Drying Regime

The problem of volumetric thermal action on a moist porous medium is considered. Numerical solution, the influence of fluid mobility on the dynamics of the heat and mass transfer process is analyzed. It is established that fluid mobility leads to a softer drying regime. It is shown that in low-permeability media, the fluid can be assumed to be stationary.

Download Full-text

One-dimensional contaminant transport through a deforming porous medium: theory and a solution for a quasi-steady-state problem

International Journal for Numerical and Analytical Methods in Geomechanics ◽

10.1002/1096-9853(200007)24:8<693::aid-nag91>3.0.co;2-e ◽

2000 ◽

Vol 24 (8) ◽

pp. 693-722 ◽

Cited By ~ 43

Author(s):

D. W. Smith

Keyword(s):

Porous Medium ◽

Steady State ◽

Contaminant Transport ◽

Quasi Steady State ◽

State Problem ◽

Medium Theory ◽

One Dimensional ◽

Steady State Problem

Download Full-text

Analytical solutions of one-dimensional macrodispersion in stratified porous media by the quadrupole method: convergence to an equivalent homogeneous porous medium

Advances in Water Resources ◽

10.1016/j.advwatres.2004.02.022 ◽

2004 ◽

Vol 27 (6) ◽

pp. 657-667 ◽

Cited By ~ 13

Author(s):

S. Didierjean ◽

D. Maillet ◽

C. Moyne

Keyword(s):

Porous Medium ◽

Porous Media ◽

Analytical Solutions ◽

One Dimensional ◽

Homogeneous Porous Medium ◽

Quadrupole Method

Download Full-text

PIEZOELECTRIC MATERIAL AND ONE-DIMENSIONAL PHONONIC CRYSTAL

Surface Review and Letters ◽

10.1142/s0218625x18501445 ◽

2019 ◽

Vol 26 (02) ◽

pp. 1850144 ◽

Cited By ~ 5

Author(s):

ARAFA H. ALY ◽

AHMED NAGATY ◽

Z. KHALIFA

Keyword(s):

Electric Field ◽

Piezoelectric Material ◽

Material Properties ◽

Phononic Crystal ◽

Defect Layer ◽

Phononic Crystals ◽

Localized Modes ◽

One Dimensional ◽

Energy Applications ◽

Relative Change

We have theoretically obtained the transmittance properties of one-dimensional phononic crystals incorporating a piezoelectric material as a defect layer. We have used the transfer matrix method in our analysis with/without defect materials. By increasing the thickness of the defect layer, we obtained a sharp peak created within the bandgap, that indicates to the significance of defect layer thickness on the band structure. The localized modes and a particular intensity estimated within the bandgap depend on the piezoelectric material properties. By applying different quantities of an external electric field, the position of the peak shifts to different frequencies. The electric field induces a relative change in the piezoelectric thickness. Our structure may be very useful in some applications such as sensors, acoustic switches, and energy applications.

Download Full-text

Unsteady one-dimensional water and steam flows through a porous medium with allowance for phase transitions

Fluid Dynamics ◽

10.1134/s0015462807040126 ◽

2007 ◽

Vol 42 (4) ◽

pp. 627-636 ◽

Cited By ~ 10

Author(s):

A. A. Afanas'ev ◽

A. A. Barmin

Keyword(s):

Porous Medium ◽

Phase Transitions ◽

One Dimensional

Download Full-text

Solvability of the system of equations of one-dimensional movement of a viscous liquid in a deformable viscous porous medium

Journal of Physics Conference Series ◽

10.1088/1742-6596/1268/1/012053 ◽

2019 ◽

Vol 1268 ◽

pp. 012053 ◽

Cited By ~ 1

Author(s):

Margarita Tokareva ◽

Alexander Papin

Keyword(s):

Porous Medium ◽

Viscous Liquid ◽

System Of Equations ◽

One Dimensional

Download Full-text

Infiltrative instability near topography with implication for the drainage of soluble rocks

Hydrology and Earth System Sciences ◽

10.5194/hess-12-1285-2008 ◽

2008 ◽

Vol 12 (6) ◽

pp. 1285-1293 ◽

Cited By ~ 1

Author(s):

P. Genthon ◽

A. Ormond

Keyword(s):

Growth Rate ◽

Porous Medium ◽

Reaction Rate ◽

Drainage Basin ◽

Sensitivity Study ◽

Flow Lines ◽

Initial Flow ◽

Underground Channel ◽

Water Saturated ◽

Channel Structures

Abstract. We present here numerical modeling of infiltration instability near a topographic edge of a water-saturated porous slice by analogy with a limestone formation devoid of initial heterogeneities such as fractures faults or joints and limited by a vertical cliff. In our runs a first dissolution finger develops near the cliff edge, and ends to intersect it above its mid height. Additional fingers develop upstream with a decreasing growth rate and an increasing width. This results from the decrease of the infiltration velocity with distance to the cliff in our models. A sensitivity study shows that a larger permeability contrast between the fingers and the initial undissolved porous medium produces a larger number of fingers, while increasing the dispersivity (lower Peclet number) produces wider fingers. A slower reaction rate (lower Damkhöler number) produces fingers that follow the initial flow lines, since dissolution occurs simultaneously along the entire finger. These results suggest that alteration by dissolution of limestones or other soluble formations may produce different underground channel structures in the same drainage basin due to local changes of the non-dimensional Pe and Da numbers.

Download Full-text