Nopalea cochenillifera (L.) Salm-Dyck, Cact. Hort. Dyck. 64 1850. (syn. Cactus cochenillifer L.; Nopalea cochenillifera (L.) Lyons; Opuntia cochenillifera (L.) Mill.; Opuntia cochinelifera (L.) Mill.);

 

Cochineal Cactus, Velvet Opuntia, Wooly Joint Prickly Pear, Nopales opuntia, Nopal cactus; 

As per efi thread:

Stem flattened, not winged
  3. Stamens exserted beyond corolla..........................Nopalea
  3. Stamens not exserted beyond corolla....................Opuntia   

Opuntia sp for ID from Uttarakhand: May 2014 DSR_5 : 7 posts by 3 authors. Attachments (4).

This ornamental Opuntia with red flowers bloom each year in summer season but without producing fruits.Not able to identify it; please help!

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Could it be Opuntia elatior Mill. (=Opuntia burgeriana)

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efi page on Opuntia elatior

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Flower is very close to Opuntia cochenillifera, commonly known as Velvet Opuntia.I have no idea about the fruits, not seen any

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Thank You ... for this ID which seems correct.

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I am a bit confused - I tried both the names suggested on internet, and in both cases the picture tallies. 

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.. there is no need to get confused. The plant earlier known as Opuntia cochelinifera L. in now correctly known as Nopalea cochenillifera (L.) Salm-Dyck
So you will find both the names on net matching: some sites following older nomenclature, some new. Several former species of Opuntia are now shifted to Nopalea.

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