Why would the fan be blowing down? I want it to blow air up to the parachute, filling it, and lifting it. Plus, even if it won't work, ut would still be fun.
P.S. See Diagram:
Parachute
__--------------__
| |
| ^ ^ ^ |
| | | | | Air
| | | | |
_______________
| Fan |
-----------------
^
|
therefor you need to force the air down to give lift and for what you want to do you need that because if the air is forced down then it will give more resistance and it will stay in the air longer. you only want the air forced up if the air your blowing up is hotter than the surrounding air around the parachute. hot air is lighter than cold air.For ever action there is an equal and opposite reaction
Basically, this wont work because it violated a fundamental law of physics... for every action, there is an equal and opposite reaction. Although the the air moved by the fan will exert a force on the parachute in the up direction, it is also exerting a force on the fan in the down direction.
I'm sure you've seen an airboat before:
http://www.floridaconservation.org/boating/access/airboat/Airboat.jpg
Imagine if you tied a parachute to the back of it and had the giant fan blow into it.... do you really think that the boat would be able to move? Of course not.