Flex IDs don't work with getChildByName(). getChildByName() is designed to work with ids of nested elements in Adobe Flash CS.
An flex id is an explicit declaration of a class member with name which is equal to the id.
Due to the lack of macro in the actionscript laguage you cannot automate the creation of such lists of controls.
You can manually create an Vector or an Array of the text areas and use it in other part of your code to automatically iterate over your TextAreas:
var text_areas:Vector.<TextArea> = new Vector.<TextArea>();
text_areas.push(Desc1, Desc2, Desc3);
// or you can do this
var text_areas2:Array = [];
text_areas["Desc1"] = Desc1;
text_areas["Desc2"] = Desc2;
text_areas["Desc3"] = Desc3;
// Now you can iterate over the text areas
for each (var a_text_area:TextArea in text_areas)
{
....
}
Or you can create a flex Array:
<fx:Array id="textAreas">
<s:TextArea id="textArea1"/>
<s:TextArea id="textArea2" x="397" y="0"/>
<s:TextArea id="textArea3" x="201" y="1"/>
</fx:Array>