Seminar 21.3.2019: Patrik Mihala

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 21.3.2019: Patrik Mihala

Postby quittner » Thu Mar 14, 2019 2:35 pm

Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 21.3.2019 at 14:00 Lecture room M-223

Patrik Mihala (KMANM FMFI UK):
Solution of direct and inverse problems for transport of water and heat in porous media

We discuss a coupled problem of water flow, heat transport in the water and heat transport
in the matrix with heat exchange between the infiltrated water and cylindrical shaped
porous media matrix. We include the water expansion which influences the water saturation
and viscosity which affects hydraulic permeability.
The flow model is based on Richard's strongly non-linear parabolic differential equation
based on empirical van Genuchten's model. Heat transport in water is strongly dependent
on the water flow and connected to the heat transport in matrix.
Numerical modelling includes the direct and inverse solution of the problem,
determines model parameters of van Genuchten's model, hydraulic permeability coefficient
of fully saturated medium, transverse and longitudinal dispersion coefficient,
thermal transmission coefficient in pours, thermal conductivity of porous media matrix
and external transmission coefficient.
Only simple non-invasive measurements using real 3D sample are required
for numerical experiment realisation.
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