This is a polymer heating problem.
Polymer enters at around 180C (x=0) in the barrel. Also barrel initial temperature is 180 (t=0). Some heat Is added along whole length of barrel q. We have to find exit temperature of polymer. There are heaters at 280C (r=20) along whole length of barrel at r=20 cm. Also at r=0, the temperature is 180C. exit temperature is around 250C(x=150). Also there is heat generation. Plus the polymer move with some velocity.
I decided to solve using PDE, convection-diffusion equation as polymer move from left to right along barrel.
Now how to solve as function of space and time. I am looking for some example and for inbuilt method in MATLAB.
Thanks