The 2-D flow with, velocity V̄ = (x + 2y + 2) î

1. Compressible and irrotational
2. Compressible and not irrotational
3. In compressible and irrotational
4. In compressible and not irrotational

v̄ = (x + 2y +2)î + (4 - y)ĵ
u =x + 2y + 2, v = 4 – y

∴	δv	= 1,	δv	= - 1
	δx		δy

∴	δv	+ 1,	δv	= 0
	δx		δy

hence in compressible.

Again, ω =	1			δv	-	δv
	2			δx		δy

=	1	(0 - 2) = - 1.
	2

hence not irrotational.