What are the various methods of placing a thermocouple wire on a polished aluminium extruded channel without physically damaging the channel at high operating temperature?
Do you have natural convection inside or outside of the channel? Is the channel thermally insulated from the outside? How thigk is the aluminium wall? What is rhe maximum temperature?
You may refer to the several adhesives produced by www.masterbond.com and choose one with high thermal conductivity and temperatures that satisfy your needs.
Choose a thermocouple with tiny wires so to minimize thermal conductionthrough them.