Perturbation Technique for Temperature Distribution Along Fin

[Karthiksrao]

Hi,

I have been trying to model the temperature distribution along the length of a fin.

With a constant 'h', the analytical solution is easy to get. But in my case, near the tip, the value of h changes significantly.

Is perturbation a good technique to get a analytical solution in such a case ? If not, any other technique is advisable ?

Thanks

 

[flatmaster]

What is h in this case? Thickness of the fin? specific heat? Is this a biological fin or a man-made fin?

 

[Karthiksrao]

'h' - heat transfer coefficient

By fin, I meant an extended surface.
http://en.wikipedia.org/wiki/Fin_(extended_surface )

Thanks