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gibson:teaching:spring-2016:math445:lab7 [2016/03/08 13:25] vining |
gibson:teaching:spring-2016:math445:lab7 [2016/03/12 06:39] (current) gibson |
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If $x$ is in meters and $t$ is in seconds, the thermal conductivity of soil is | If $x$ is in meters and $t$ is in seconds, the thermal conductivity of soil is | ||
$\alpha = 0.138 \times 10^{-6} \; m^2/s$. | $\alpha = 0.138 \times 10^{-6} \; m^2/s$. | ||
- | Let $T_i= 20\,C$ and $T_S = -15\,C$, and recall that water freezes at $T(x,y) = 0\,C$. | + | Let $T_i= 20\,C$ and $T_S = -15\,C$, and recall that water freezes at $T(x,t) = 0\,C$. |
Use your Newton-search algorithm to determine how deep a water main must be | Use your Newton-search algorithm to determine how deep a water main must be | ||
buried so that it will not freeze until at least 60 days' exposure to these | buried so that it will not freeze until at least 60 days' exposure to these | ||
conditions. | conditions. | ||
- | ---- | ||
- | ...to be continued... |