You Do Need power plug adapter while traveling from Belgium to Abu Dhabi.

Here is Why You Need An Adapter

The outlet and plug type used in Abu Dhabi is G and in Belgium are C and E. This is how they look like.

Belgium

In Belgium, outlets of type C and E are in use.

Type C

Type E

Abu Dhabi

In Abu Dhabi, outlets of type G are in use.

Type G