A scorecard reading 74-3 in the 18th over meant that Kohli and Raina had to initially curb their attacking instincts, but it did not take long for the latter to get going as he hit two sixes on his way to a half-century, while his teammate grafted away at the other end.
Windies captain Dwayne Bravo used eight different bowlers in a bid to break the partnership, and it was when he turned back to opening pair Ravi Rampaul and Jerome Taylor that Kohli and Raina were dismissed.
Both batsmen went for 62 and had set the platform for captain MS Dhoni to once again prove that he is one of the best finishers in world cricket by blasting 51 from 40 balls to take India to an imposing total.
Smith and Darren Bravo put on 64 as West Indies made a promising start to their reply and Pollard, promoted up the order to number three, built upon these foundations by hitting three maximums in a quickfire 40.
Having anchored the innings at a run a ball, Smith fell three runs short of his century when he was bowled by Shami, who finished with figures of 4-36 and bowled well in tandem with Jadeja.
The spinning all-rounder picked up the wickets of Darren Sammy and Andre Russell to end the Windies' hopes of reaching their target as India exacted revenge for their heavy defeat in Kochi earlier this week.
Game three of the series takes place on Tuesday at the ACA-VDCA Stadium in Visakhapatnam.