Coiling Pipe around converging/diverging nozzle

I am creating a converging diverging nozzle that needs to have a coiled piping system, similar to a spring, that will need to match the same converging and diverging shape. The coiling pipe needs to be a distance of 0.5 inches from the edge of the nozzle.  The coils also need to be of equal distance from each other in both pitch and vertical positioning. Any advice on how to get this? I have attached both male and female parts of the nozzle to see if anyone is willing to help as well as a picture with a coiled piping system with a straight pipe rather than a converging diverging nozzle which is similar to our desired shape. Thank you!

SolidworksParts And Features