calculate nozzle length
 

I am trying to generate the grids for C-D nozzle from information in a paper. I could not find the information on the length of the nozzle. The nozzle is a 15-deg half-angle conical-type nozzle. It consist of a circular contracting contour of 5.12 throat radii followed by a circular contracting contour of 2 throat radii. The throat radius is 10.7 mm with exit radius of 15 mm.

Given this information is it possible to get the length of the nozzle and location of the throat.

Thanks