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Shivani finished a disappointing 41st to miss the race to the quarter-finals after clocking 2:09:30 minutes in the women's 200m freestyle heats at the Olympic Aquatics stadium.
The 18-year-old completed the first 50 metres in 29.28 seconds before taking 1:01.36 minutes to reach 100m. She then posted a time of 1:34.95 minutes to reach 150m and eventually completed it in 2:09:30 minutes to finish second in the heat.
Kathleen Ledecky of the US clocked 1:55:01 minutes to top the list followed by Australia's Emma Mckeon at the second spot in 1:55:80 minutes and Sweden's Sarah Sjostrom ended third in 1:56:11 minutes.
Meanwhile, in men's 200m butterfly event, Prakash finished fourth clocking 1:59:37 in his heat and overall 28th to bow out of the competion.
The Kerala swimmer got off to a poor start as he failed to feature in the top three even after the first 100m of butterfly heat.
Hungarians Tamas Kenderesi and Laszlo Cseh topped the list clocking 1:54:73 and 1:55:14 minutes respectively while South African Chad Guy Bertrand Le Clos took 1:55:57 minutes to come third.