- #1
muzialis
- 166
- 1
Hello there,
hope you are having a good one.
My problem is to solve the heat equtaion in cylindrical coordinates.
This has been done by others for me, so a closed form solution is available, please see attached (please note the problem is 1 - D due to initial conditions depending only on r).
My b.c. are as follows:
For all time, fixed temperature at the inner and outer radius of the hollow cylinder
At time= 0, all the cyclinder is uniformly at the same tempeature as the outer radius.
Using these conditions I should determine the coefficients Am and c in the solution, but I am unsure on how to do in relation to my b.c.s.
At time 0 my b.c. are discontinuous, which I am unable to replicate by any choice of the coefficients. Still I am sure they are legal, as I dealt long time with other cases where the initla temperature distribution was the dirac function.
Any hint would be the most appreciated, thank you very much
Muzialis
hope you are having a good one.
My problem is to solve the heat equtaion in cylindrical coordinates.
This has been done by others for me, so a closed form solution is available, please see attached (please note the problem is 1 - D due to initial conditions depending only on r).
My b.c. are as follows:
For all time, fixed temperature at the inner and outer radius of the hollow cylinder
At time= 0, all the cyclinder is uniformly at the same tempeature as the outer radius.
Using these conditions I should determine the coefficients Am and c in the solution, but I am unsure on how to do in relation to my b.c.s.
At time 0 my b.c. are discontinuous, which I am unable to replicate by any choice of the coefficients. Still I am sure they are legal, as I dealt long time with other cases where the initla temperature distribution was the dirac function.
Any hint would be the most appreciated, thank you very much
Muzialis