iceveil-
The nozzle wall (beyond the throat) does not not see the same temps/pressures as the chamber, and the gas temps/pressures steadily decrease towards the nozzle exit. Most applications involving rocket engines are usually extremely weight sensitive, so a huge effort is made to minimize the weight of large components like the nozzle. However, you did not mention what type of rocket engine you are considering (liquid fuel, solid fuel, etc.).
At one end of the spectrum there are large liquid engines like the F1. The
F1 used regenerative cooling of the chamber and nozzle walls, and the inner walls were surprisingly thin in order to provide efficient heat transfer. I've seen one of these massive engines up close, and the thousands of
hand-welded cooling tubes lining the chamber and nozzle walls is a very impressive sight.
There are also
un-cooled ablative nozzles like used on the RS-68 liquid engine. This nozzle is made of a phenolic material that develops a protective char layer on the flow surface after initial exposure to the high-temp propellant gas. While not quite as lightweight or efficient as a regeneratively-cooled nozzle, it is cheaper, less complex and more reliable.
Lastly, the
link provided in your last post describes an extendable nozzle design. This type of nozzle is commonly used on the upper stage of launchers that place payloads in high orbits, and they operate in vacuum conditions. This application requires a high area ratio nozzle that is usually far longer than can be easily fit in the space available, thus the use of extendable nozzles.
The extended portion of the nozzle is usually not cooled.
The
NTRS website has lots of great tech references for rocket nozzle design.
Good luck to you.
Terry