The bladeless fan is pretty much an air pump that relies on the air it expels to drive surrounding air in a continual direction, thus the 'air multiplication'. You could have an air pump that had output nozzles aimed at specific locations in your case or given a long enough computer case (think server blade length) then perhaps you could have a pump at the front driving air to the rear?
Either way, I don't think it is an effective means to generate the airflow needed to cool computer components, especially given the often indirect nature that air needs to flow in desktop builds to enter and exit the case.