The Indian pair took just 32 minutes to get the better of Knudsen and Nielsen 21-12 21-18 in a second round clash.
Satwiksairaj and Ashwini will now play Ireland's Scott Evans and Amanda Hogstrom of Sweden in the last eight round.
The Irish-Swede combination defeated German pair of Jones Ralfy Jansen and Eva Janssens 21-11 17-21 21-18 in another second round match.