- #1
mherna48
- 43
- 0
Hi everyone,
This is a problem I need to solve in order to create a temperature profile. I have never encountered anything like this, and don't know where to start. Any suggestions?
[tex]A * \frac{\partial}{\partial x}* \left[ \kappa(T(x)) * \frac{\partial T(x)}{\partial x}\right] = 0 [/tex]
where
x : Position
A : Cross sectional area of the rod
[tex] T(x) [/tex] : Temperature as a function of position
[tex] \kappa ( T(x) ) [/tex] : the coefficient of thermal conductivity as a function of Temperature
I'm trying to solve for [tex] T(x)[/tex].
This is a problem I need to solve in order to create a temperature profile. I have never encountered anything like this, and don't know where to start. Any suggestions?
[tex]A * \frac{\partial}{\partial x}* \left[ \kappa(T(x)) * \frac{\partial T(x)}{\partial x}\right] = 0 [/tex]
where
x : Position
A : Cross sectional area of the rod
[tex] T(x) [/tex] : Temperature as a function of position
[tex] \kappa ( T(x) ) [/tex] : the coefficient of thermal conductivity as a function of Temperature
I'm trying to solve for [tex] T(x)[/tex].