The phrase "a different process for" is correct and usable in written English.
You can use it when discussing an alternative method or approach for achieving a specific outcome or task.
Example: "We need to implement a different process for handling customer complaints to improve satisfaction."
Alternatives: "an alternative method for" or "a distinct approach to".
NOTE: School of Management does have a different process for enrolling in their courses.
"They should take a look at their own process before they recommend a different process for the C.C.R.B.," Mr. Giuliani said.
Each supplier used a different process for the preparation of this material and, therefore, each suppliers' material exhibited a unique impurity profile.
According to the chemistry and structure of the electrochemical interface, a different process for H2 oxidation is observed, from direct to mediated electron transfer process.
So adapting to that change has been a different process for me.
If they're requesting a different process for invoicing, it's worth thinking about, as would be a small feature addition or referral program.
Those beads, marketed in Europe and Japan as Aqua Beads, are manufactured using a different process developed for the dental industry.
We are aware, however, that an influential theory [15] suggests that memory for items with subsequent 'sure old' responses is based on a different process (recollection) than for items with subsequent 'unsure old' responses (familiarity).
It was a really different process for me, because it was a very small-budget film.
They are thinking 'That's a lot of work, I need to upgrade System Center Microsoftt's IT management platform), I need to have a little different process for managing the back end.' A lot of CIOs I've talked to, they are saying I'm not really seeing a benefit".
The MIT researchers singled out a process called chemical looping, which Deutch says "offers a completely different process for getting the energy out of coal". In one version, pulverized coal reacts with particles of metal oxides, such as rust.
