Modelling and simulation of ice/snow melting
Modelling and simulation of ice/snow melting
Modelling and simulation of ice/snow melting
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<strong>Modelling</strong><br />
heat equations<br />
◮ liquid phase:<br />
◮ solid phase:<br />
∂TL<br />
∂t<br />
= kL<br />
ρLcL<br />
TL(0, t) = TA<br />
∂TS<br />
∂t<br />
= kS<br />
ρScS<br />
TS(l, t) = TG<br />
◮ thermophysical constants:<br />
∂2TL , 0 ≤ x ≤ h(t)<br />
∂x 2<br />
∂2TS , h(t) ≤ x ≤ l<br />
∂x 2<br />
kS, kL − thermal conductivities<br />
cS, cL − specific heat<br />
ρS = ρL − densities<br />
<strong>Modelling</strong> <strong>and</strong><br />
<strong>simulation</strong> <strong>of</strong> <strong>ice</strong>/<strong>snow</strong><br />
<strong>melting</strong><br />
Sabrina W<strong>and</strong>l -<br />
University <strong>of</strong> Linz<br />
Tuomo<br />
Mäki-Marttunen -<br />
Tampere UT<br />
Sigmund Vestergaard -<br />
TU Danmark<br />
Patrick Kürschner -<br />
TU Chemnitz<br />
Trond Kvarnsdal -<br />
NTNU Trondheim<br />
Introduction<br />
<strong>Modelling</strong><br />
Melting point<br />
depression<br />
Solution<br />
Exact<br />
Numerical<br />
Further issues
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