Depending on the wind direction, one set of funnels would get more wind than the others. Inside the body would be a series of pipes to direct the wind down, through the generator, back up and out. A system of valves could be used to ensure that the pipes connecting the active funnels (i.e. those best angled to the wind) is routed to the turbine.
Obviously this system benefits from having the turbine at ground level for easy maintenance and installation, and zero moving parts (and no maintenance) up in the air flow. Would it work?