"Michael tends to have a little bit of a golden arm,'' coach Mickey Arthur said.
"He rocks up, he does a little bit of work and gets it done.
"He got the job done again today - big-match temperament, I suppose.''
Clarke ended the day with 3-34 from 12.1 overs, a vital contribution after Nathan Lyon (0-46) failed to find a way through.
Shane Watson (1-20) had earlier snared the wicket of Bravo to end a partnership that lasted over two hours following Clarke's dismissals of Kraigg Brathwaite (14) and Kieran Powell (24) which left the hosts reeling at 3-45.
Ben Hilfenhaus (1-14) was the other wicket-taker, removing opener Adrian Barath for a duck before lunch when Ed Cowan plucked a superb diving catch at square leg.
Earlier, Shane Shillingford became the first Windies spinner in 46 years to take 10 wickets in a Test as Australia were dismissed for 259 in their second innings.
Shillingford picked up the scalps of Michael Hussey (32) and Hilfenhaus (six) to finish with 4-100 and complete a fine first Test in front of his home crowd.
Narsingh Deonarine (3-45) and Kemar Roach (3-40) were the other wicket-takers with Roach finishing with 19 wickets at 19.73 in the three-Test series.
- AAP