- #1
WWCY
- 479
- 12
Homework Statement
Homework Equations
dQ/dt = -kA(dT/dx)
The Attempt at a Solution
I tried to use Fourier's law of Conduction on this one. I subbed dT for (Θ0 - Θ1), and l(t) (function for thickness of ice against time) for dx, reason being that the sheet of ice should get thicker.
I then substituted dQ = dmLf = ρALfdl (reason being that the infinitesimal energy dQ lost from the water should cause it to change phase / freeze by a volume of A(area) x dl) before arriving at:
dl/dt = -k/(ρLf) x (Θ0 - Θ1) / l(t) and getting stuck,
help would be greatly appreciated.