Bollinger provided the breakthrough when Harris was caught behind by CSK skipper and wicketkeeper Mahendra Singh Dhoni.
Dhawan too followed suit as he was caught by Bravo off Suresh Raina at deep mid-wicket.
New man in Parthiv Patel (20) made his intentions clear from the outset as he hit Bollinger for two fours in the sixth over.
However, his stay was shortlived as he was cleaned up by Jadeja in the 11th over.
Image: Chennai Super Kings batsman Dwayne Bravo plays a shot during the IPL Twenty20 cricket match between Chennai Super Kings and Deccan Chargers at The Dr. Y.S. Rajasekhara Reddy Cricket Stadium in Visakhapatnam on April 7, 2012.