Ameera,
Unfortunately it is not currently possible to configure the name of the saved forms at this time.
As an alternative you could try configuring each visit to create a separate subcase (say, "diagnosis") which would contain some of the details of the visit and then show them in a different case list, but it may be tedious to set that workflow up it you want to read the entire form, since you'd have to save and recall all of the individual details. You could use just the name of the patient, the date, and the diagnosis into such a subcase, and use as a sort of index into the saved forms as a compromise.
-Clayton