Oh! Yeah actually some work in CFX was done and a paper by Fussel "Simulation of shielding gas flow

inside the torch and in the process region of GMA welding". 

"Modelling on dynamics properties of a stationary argon cascaded arc plasma flows" by G D Wei, X Qi, L Yang. 

Also I prepared some model and gave a current density of 10^7 A/m^2 and inlet pressure of 1 bar and outlet of 100 pa. I got something like this