How do I remove rust from hard to reach areas from an outdoor wrought iron rail?

I have wrought iron railings where the individual rails (15 rails per 6 foot sections) go through a section 4 inches from the top railing. In between there is rust forming that was not powder coated. Is there a simple way to remove the rust, prime and repaint? Since the rust is hard to reach with a wire brush, what are my alternatives?

First of two simultaneous responses --

You should have success by sandblasting the rusted areas. Equipment is available for rent.

Second of two simultaneous responses --

You can try to do that with high pressure water jet but be careful,after cleaning you can use any good rust converter ⇦ on eBay or Amazon [affil link] and clearcoat. Hope it helps and good luck!