Ive heard 2 theories about how airmovers dry carpets. the first is What john said, the second is that the air passing across the top of the carpet creates lift which pulls air upwards within the carpet, carrying with it the moister.
now if Johns right that its about displacement of damp air laying over the top of the carpet then all that is needed is a very, very small fan because all though saturated with water damp air is still very light and is easily moved even by the smallest draught, so why do we need powerful airmover unless we are trying to totally exchange the air from another environment (Eg outside)
I think the second theory is quite plausible, because Ive tried domestic fans that create little more than a light breeze and found them to be rubbish, but snail blowers that direct the air over the top of the carpet are sometimes very good.
and just to be clear I carry betreen 4-6 snail blower and 2 large industrial upright fans on the van at all times, they are used daily in various combinations .