| Title:
|
Numerical modeling of heat exchange and unsaturated-saturated flow in porous media (English) |
| Author:
|
Kačur, Jozef |
| Author:
|
Mihala, Patrik |
| Author:
|
Tóth, Michal |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
191-200 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
Porous media infiltration, water and heat transport, heat energy exchange, numerical modeling of nonlinear system |
| MSC:
|
65M08 |
| MSC:
|
65M32 |
| MSC:
|
76S05 |
| . |
| Date available:
|
2019-09-27T07:56:38Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703050 |
| . |
| Reference:
|
[1] Bear, J., Cheng, A. H.-D.: Modeling Groundwater Flow and Contaminant Transport., Springer 2010, V. 23. |
| Reference:
|
[2] Constales, D., Kačur, J.: Determination of soil parameters via the solution of inverse problems in infiltration., Computational Geosciences 5 (2004), pp. 25–46. MR 1861992, 10.1023/A:1011668131279 |
| Reference:
|
[3] Šimunek, J., Šejna, M., Saito, H., Sakai, M., Genuchten, M. Th. van: The Hydrus-1D Software Package for Simulating the Movement of Water, Heat, and Multiple Solutes in Variably Saturated Media., (2013). |
| Reference:
|
[4] Šimunek, J., Nimo, J. R.: Estimating soil hydraulic parameters from transient flow experiments in a centrifuge using parameter optimization technique., Water Resour. Res. 41, W04015(2005). |
| Reference:
|
[5] Celia, M. A., Bouloutas, Z.: A general mass-conservative numerical solution for the unsaturated flow equation., Water Resour. Res. 26 (1990), pp. 1483–1496. 10.1029/WR026i007p01483 |
| Reference:
|
[6] Kačur, J., Mihala, P., Tóth, M.: Determination of soil parameters under gravitation and centrifugal forces in 3D infiltration., VSEAS Transactions on Heat and Mass Tranfer, Vol. 11, (2016), pp. 115–120. |
| Reference:
|
[7] Constales, D., Kačur, J., Malengier, B.: A precise numerical scheme for contaminant transport in dual-well flow., Water Resour. Res., vol. 39(10), (2003), pp. 1292–1303, 10.1029/2003WR002411 |
| Reference:
|
[8] Kačur, J., Minár, J.: A benchmark solution for infiltration and adsorption of polluted water into unsaturated-saturated porous media., Transport in Porous Media, vol. 97, (2013), pp.223–239. MR 3068208, 10.1007/s11242-012-0119-5 |
| Reference:
|
[9] Bergman, T. L., Lavine, A. S., Incropera, F. P., Dewitt, D. P.: Fundamentals of heat and mass transfer., John Wiley and Sons, 7th edition, (2011), ISBN 13 978-0470-50197-9. |
| . |
