scholarly journals Numerical Modeling of Heat and Water Transport with Heat Exchange in Unsaturated-Saturated Porous Media Including Heat Influence on Flow

2019 ◽  
Author(s):  
Jozef Kačur ◽  
Patrik Mihala
Keyword(s):  
Numerical Modeling ◽  
Porous Media ◽  
Heat Exchange ◽  
Water Transport ◽  
Saturated Porous Media

Numerical Modeling of Heat and Mass Transport with Inner Heat Exchange in Unsaturated Porous Media

2020 ◽  
Vol 27 ◽  
pp. 166-176
Author(s):  
Jozef Kačur ◽  
Patrik Mihala
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Heat Exchange ◽  
Inverse Problems ◽  
Water Transport ◽  
Heat Conductivity ◽  
Unsaturated Porous Media ◽  
Heat Transmission ◽  
Matrix Heat

We are focused to the numerical modelling of heat, contaminant and water transport in unsaturated porous media in 3D. The heat exchange between water and porous media matrix is taken into the account. The determination of heat energy transmission coefficient and matrix heat conductivity is solved by means of inverse problem methods. The mathematical model represents the conservation of heat, contaminant and water mass balance. It is expressed by coupled non-linear system of parabolic-elliptic equations. Mathematical model for water transport in unsaturated porous media is represented by Richard's type equation. Heat transport by water includes water flux, molecular diffusion and dispersion. A successful experiment scenario is suggested to determine the required parameters including heat transmission and matrix heat conductivity coefficients. Additionally we investigate contaminant transport with heat transmission and contaminant adsorption. The obtained experiments support our method suitable for solution of direct and inverse problems. This problem we have discussed previously in 1D model, but preferential streamlines in 1D thin tubes shadow accurate results in determination of required parameters. In our presented setting we consider a cylindrical sample which is suitable in laboratory experiments for inverse problems.

Heat Exchange and Unsaturated-Saturated Flow in Porous Media

2017 ◽  
Vol 380 ◽  
pp. 107-114
Author(s):  
Jozef Kačur ◽  
Patrik Mihala ◽  
Michal Tóth
Keyword(s):  
Numerical Modeling ◽  
Porous Media ◽  
Heat Exchange ◽  
Numerical Experiments ◽  
Energy Exchange ◽  
Heat Energy ◽  
Flow In Porous Media ◽  
Saturated Flow ◽  
Transmission Coefficients

We discuss the numerical modeling of heat exchange between the infiltrated water and porous media matrix. An unsaturated-saturated flow is considered with boundary conditions reflecting the external driven forces. The developed numerical method is efficient and can be used for solving the inverse problems concerning determination of transmission coefficients for heat energy exchange inside and also on the boundary of porous media. Numerical experiments support our method.

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