1. The problem statement, all variables and given/known data I am trying to get the units to match up on both sides. [tex]\frac{\partial T}{\partial t} = \frac{\nabla ^{2} T}{k} = \frac{1}{K}(\frac{\partial ^2 T}{\partial x^2} + \frac{\partial ^2 T}{\partial y^2} + \frac{\partial ^2 T}{\partial z^2}})[/tex], where k is the thermal resistivity. 3. The attempt at a solution By searching all over the web, I've found that thermal resistivity "k" has units of [tex]\frac{Kelvins}{W}[/tex]. Therefore, [tex]\frac{\partial T}{\partial t} = \frac{Kelvins}{s} \neq (\frac{W}{Kelvins})*(\frac{Kelvins}{m^2})[/tex]. Could someone help me correct the units. Thanks, JL
This may be useful: http://en.wikipedia.org/wiki/Thermal_resistivity I think there needs to be a factor of m added to your statement.
Are you sure? I mean the units do infact check out if you are correct- but according to my class notes they've referred it to thermal resistivity. Thanks a lot. JL