Question about configuring the software and typical administrative tasks (backup & recovery; installation; processor, memory & hardware; engine selection; clustering) should stay.
Questions about DB design (everything from elementary table/query/report design to normalization, sharding, partitioning, relations & cascade operations, etc) and performance (profiling, query optimization, parallelization) should be migrated to dba.SE
Question about queries (application generated, stored proceeduresprocedures, injection protection, etc) or APIs (ODBC, Libraries, et al) should be migrated to SO (not 100% sure on this destination, but makes the most sense to me at the moment; I'm open to suggestions but they don't belong on SF). Advanced or highly intricate incarnations of these Questions should be migrated to dba.SE instead of SO (per Jeff, Jack, and others).
NoSQL still has the same concepts of administration, design, and application interface and should be delegated accordingly. BI and AIS get the same treatment.