Numerical modeling of heat exchange and unsaturated-saturated flow in porous media

Kačur, Jozef; Mihala, Patrik; Tóth, Michal

  • Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 191-200

Abstract

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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.

How to cite

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Kačur, Jozef, Mihala, Patrik, and Tóth, Michal. "Numerical modeling of heat exchange and unsaturated-saturated flow in porous media." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 191-200. <http://eudml.org/doc/294945>.

@inProceedings{Kačur2017,
abstract = {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.},
author = {Kačur, Jozef, Mihala, Patrik, Tóth, Michal},
booktitle = {Proceedings of Equadiff 14},
keywords = {Porous media infiltration, water and heat transport, heat energy exchange, numerical modeling of nonlinear system},
location = {Bratislava},
pages = {191-200},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Numerical modeling of heat exchange and unsaturated-saturated flow in porous media},
url = {http://eudml.org/doc/294945},
year = {2017},
}

TY - CLSWK
AU - Kačur, Jozef
AU - Mihala, Patrik
AU - Tóth, Michal
TI - Numerical modeling of heat exchange and unsaturated-saturated flow in porous media
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 191
EP - 200
AB - 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.
KW - Porous media infiltration, water and heat transport, heat energy exchange, numerical modeling of nonlinear system
UR - http://eudml.org/doc/294945
ER -

References

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  2. Constales, D., Kačur, J., Determination of soil parameters via the solution of inverse problems in infiltration, , Computational Geosciences 5 (2004), pp. 25–46. MR1861992
  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). 
  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). 
  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. 
  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. 
  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, 
  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. MR3068208
  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. 

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