michel.rahman
New member
- Joined
- Mar 17, 2020
- Messages
- 1
I have solved the equation that follows the format

with BC1: T(0,t)=77.15K, BC2: ∂T(L,t)/∂x=0 (isolated), IC: T(x,0)=293.15K
Answer is quite long with a transient portion:

I am now trying to solve the equation of the following form where the conductivity changes with the function of temperature and follows a quadratic relationship with the same BCs and IC.

Any direction on how to solve the question is appreciated.

with BC1: T(0,t)=77.15K, BC2: ∂T(L,t)/∂x=0 (isolated), IC: T(x,0)=293.15K
Answer is quite long with a transient portion:

I am now trying to solve the equation of the following form where the conductivity changes with the function of temperature and follows a quadratic relationship with the same BCs and IC.

Any direction on how to solve the question is appreciated.