I really don't think there is one. If there is one it has to be a composite created for that purpose.
facetiously -Armando Patella
The word "facetiously" contains the vowels aeiouy in that order.
Abstemious for ascending order Suncontinental for descending order
All 5 vowels in alphabetical order?
Abstemious is a 10 letter word that contains 5 vowels in correct order. It means not moderate when eating and drinking.
SUBCONTINENTAL
Facetious
no, because the 'i' is after the 'e'
facetiouse and abstemiousely
facetious. And the vowels are in alphabetical order.
All vowels (and y) in their correct order.
You may be going for the fact that it contains all of the vowels, but it is not the only such word. Facetiously contains them all, plus "y" (and in alpha order, to boot).