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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Numerical Solution<br />
2. Interface movement<br />
Update step for interface movement<br />
h(t + ∆t) = h(t) + β Tn+1(t) − Tn(t)<br />
∆t<br />
∆x<br />
3. Melting point depression<br />
Assumption: constant amount <strong>of</strong> substance <strong>of</strong> solute per unit area<br />
nA, V = h(t) · A<br />
TM(t) = T M(pure) − KMmb = . . . = T M(pure) − KMi nAAsolution<br />
ρVsolution(t)<br />
= T M(pure) − KMi nA<br />
ρh(t)<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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