The rear end of a sting usually has a conical fairing blending into the (wind tunnel) model support structure.
Critical length of a sting (beyond which its influence on the flow around the model is small) is mostly dependent on Reynolds number.
The part of the sting entering the model is a thin aerodynamically shaped blade so as to minimize disturbance of the flow; see figure.
Stings often attach, at the front end, to internal wind tunnel balances to measure the forces on the model.
Therefore, most stings have a central bore through which the cables from a balance or other in-model instrumentation can be conducted without exposure to the airflow.