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Physics of a Good Coffee. Andrei Varlamov COHERENTIA INFM-CNR, Roma Giuseppe Balestrino Universita’ “Tor Vergata”, Roma. Wroclaw, September,15 2006. Italian Moca. Filtration: the Darcy Law. →. Q = κ S P ρ / ( L). P = Q L/(S κ ). Q = m/t~200 g/min. P=P atm.
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Physics of a Good Coffee • Andrei Varlamov COHERENTIA INFM-CNR, Roma • Giuseppe Balestrino Universita’ “Tor Vergata”, Roma Wroclaw, September,15 2006
Filtration: the Darcy Law → Q = κSPρ/ ( L) P = Q L/(S κ) Q = m/t~200 g/min P=Patm ( °C) = 10 -3 Pa s S~ 10 cm2 } L~ 1 cm κ~ 10-12 P(T)=Patm+P P4·104 Pa →T* ~ 110 °C
The limitation of the Darcy Law at small pressures: opening of the cappillars
Moka explosion. PV=m/μRT M=150 g, V=200 cm3 Tmax ~ 300 0C→Pmax ~ 103atm E ~ PV ~40 KJ → v=200 m/s κ~ 10-12 κ~ 10-13~ 10-14