I modelled two dimensional heat conduction in a cylindrical wall with convective boundary conditions. I want to validate the results.

Can anyone suggest how to validate the results. Are there any standard problems available for this?

set the heat transfer coefficient to a very large number, so it will become a simple problem which has analical solution.

In many many litrature or scripts from your university there are equations for this problem. So you would get analytiv solutions for simple geometry problems.

I am not looking for analytical solution, i am looking for numerical solution. i have solved one problem but i want to know that this method is reliable, stable, and can be generalized. is there any standard problem with resutls which i can solve to verify that my program works.

What ztdep and Hubert Janocha might be suggesting is the following:

A numerical solution that you get will surely come from someone else's code (guess that's obvious!), AND that code was very likely validated against analytic solutions. So why not cut out the middle man and generate your own analytic solution? I just opened Chapman's "Heat Transmission", published in the 60's. Chapters 3 through 5 are filled with single and multi-dimensional problems in cylindrical coordinates. With analytic solutions. There were other good texts used in the same time frame (Rosenow comes to mind).

Simply programming the solutions given in the texts will let you generate a perfectly adequate numerical solution (that is, a file of numbers) to test your own conduction code. And you'll know precisely what your test solution has in it.

Of course it's your problem and your time. And only you know exactly what you want to accomplish. Good luck!