Fick's second law in cylindrical co-ordinates

[gareth]

Hi all,

Having some trouble understanding/finding the derivation of Fick's second law of diffusion in cylindrical co-ordinates.

I have attached the solution which describes the refilling of a laser cleaned spot via surface diffusion.

So basically i would like to know the intermediate steps from Fick's second law to the attached equation.

Many thanks on this one.

(PS not a mathematician as you may have guessed so please dumb it down a shade for me)

Thanks again

 

[phioder]

Hi

Could you cite 17, 18, original paper?

Best Regards

 

[gareth]

This is a book on the mathematics of diffusion, I have had a good look at it but it still skips many steps so I can't follow the derivation.

[17] J. Crank, The Mathematics of Diffusion (Clarendon, Oxford,
1975) p. 72.

This paper basically shows the same information as the book:

[ 18] S.M. George, A.M. de Santolo and R.B. Hall, Surf. Sci. 159
(1985) L425,

Thanks for the reply.

Gareth