Process inserts, assemblies, and related methods for use in monitoring high velocity fluids or supporting instruments that monitor and manage high velocity fluids are disclosed. Exemplary inserts include a head having a cavity for receiving an instrument, a shank, and a hub. The shank includes an elongated body having a first end disposed proximate to the head, a free end opposite the first end, and a threaded portion spaced apart from the first and free ends. The hub can form a lapped joint. Exemplary process insert assemblies include a process insert having a shank and a threaded support disposed around the shank. Methods of making and using process inserts are also disclosed. For example, a method of installing a process insert on a container includes inserting the free end of the process insert in the interior volume of a container containing a high velocity fluid.