My understanding of drafting in the peloton is that there is a low pressure 
area induced behind riders, meaning there is less air resistance to the riders 
following, and hence less energy is expended by riders following in low 
pressure areas (1,2). It's not lift, like it is in the bird vee formation (as 
Peter Lissaman points out). There has been some suggestion that the lead rider 
also benefits by a "nudge" from the rider behind who fills the low pressure 
zone (3), but this is disputed (4). So energy savings in pelotons is not 
strictly due to eddies either. 

Efficiencies in bicycle racing (ie. increasing speed for least possible power 
output) increase as the peloton becomes denser, because greater energy savings 
occur the closer a cyclist behind can get to the wheel in front (1,2,4).  This 
must be balanced against the increased risk for collision cyclists undergo as 
peloton density increases. The notion of a "shrink-wrapped" peloton well 
describes the correlation between optimal peloton speed and density, and seems 
to me a better description than the eddie model Roger C is describing.  

The staggering of cyclists in a peloton is due to its dynamical nature and the 
necessity for cyclists to avoid collision, and not because it is the 
theoretical absolute optimal energy savings formation.  That is to say that the 
maximum drafting benefit is directly behind others (excluding cross-winds for 
the moment) (1,4), which does not practically occur in a peloton (except in 
what I call a "stretched" phase, which I won't get into here).  Rather, a 
dynamical arrowhead, rounded, or rotational effect to the peloton occurs at a 
certain power output threshold (which is within a narrow range for all riders) 
as riders rotate through positions at the front, each seeking to save energy by 
drafting; optimal collective output occurs during this phase (based on personal 
observation and analysis).

I don't profess a good understanding of the eddy principles that Roger is 
describing in the windmill formation, but as I gather them, the principles he 
describes do not seem to closely describe the peloton formation, as you've 
pointed out. Also, unlike the static windmill formation, the peloton is a 
dynamical system, and so its collective output optimization also depends on the 
movements of the agents within the system as they respond to each other and 
environmental parameters.  So, in that respect, the article may be a bit loose 
in referring to the peloton as an analog. 

However, it seems to me the main idea is that there is overall energy saved by 
a particular collective formation.  Whether it's drafting or by creating eddies 
or by lift, the mechanism may be different, but these principles of energy 
savings allow for generalized flocking phenomena to occur in natural systems, 
which is, in general principle, what the windmill engineers are exploiting.

Refs
1. Kyle C. 1979 "Reduction of wind resistance and power output of racing 
cyclists and runners travelling in groups" Ergonomics 22: 387-397; 

2. McCole et al 1990 "Energy expenditure during bicycling" Journal of Applied 
Physiology 68: 748-753

3. Cycling Performance Tips. Excercise Physiology - Energy Requirements of 
Bicycling  http://www.cptips.com/energy.htm

4. Olds, T. 1998 "The mathematics of breaking away and chasing in cycling" 77. 
Eur J App Phiol 492-497
  ----- Original Message ----- 
  From: Nicholas Thompson 
  To: Roger Critchlow 
  Cc: friam@redfish.com 
  Sent: Wednesday, November 25, 2009 9:43 AM
  Subject: Re: [FRIAM] flocking windmills


  Cyclists want lift??!!  How do they maintain contact with the road?  

  N

  Nicholas S. Thompson
  Emeritus Professor of Psychology and Ethology, 
  Clark University (nthomp...@clarku.edu)
  http://home.earthlink.net/~nickthompson/naturaldesigns/
  http://www.cusf.org [City University of Santa Fe]




    ----- Original Message ----- 
    From: Roger Critchlow 
    To: nickthomp...@earthlink.net;The Friday Morning Applied Complexity Coffee 
Group
    Sent: 11/25/2009 10:26:08 AM 
    Subject: Re: [FRIAM] flocking windmills


    No, the pelaton uses the lead rider to break a bow wave through the air, 
but the eddies from each rider's passage also curl around to give some lift to 
the subsequent riders in the pelaton.  If you smoothed it out into one long 
cylinder, it wouldn't work as well. 


    The vertical wind turbines work as a flock because they induce a sort of 
do-si-do of the wind through the flock, where each rank of turbines is 
positioned to catch the eddy from the preceding rank and throw it back to the 
next rank.  Because the wind takes a longer than straight path through the 
flock, it has to move faster than the unimpeded wind.  If you just set up a 
stonehenge in the same arrangement as the flock of turbines, you'd get the same 
sort of velocity effect.


    Having the flock adjust its geometry could be a big win.  A fixed 
installation would be tuned to the most likely wind speed and direction.


    -- rec --


    On Wed, Nov 25, 2009 at 9:58 AM, Nicholas Thompson 
<nickthomp...@earthlink.net> wrote:

      Hugh, 

      Thanks for explaining this to me.  I figured it was something like that.  

      But the logic IS backwards with respect to the bike racer model.  The 
Bike racer pod is trying to protect the lead racer from wind resistance, the 
wind mills are trying to pass that resistance through to ever member of the pod.

      We could shrink-wrap the bike-pod, and it would do its job even better.  
Not so the windmill pod.  

      Right?  

      N

      Nicholas S. Thompson
      Emeritus Professor of Psychology and Ethology, 
      Clark University (nthomp...@clarku.edu)
      http://home.earthlink.net/~nickthompson/naturaldesigns/
      http://www.cusf.org [City University of Santa Fe]




        ----- Original Message ----- 
        From: Hugh Trenchard 
        To: The Friday Morning Applied Complexity Coffee 
Group;nickthomp...@earthlink.net;Carl Tollander 
        Cc: Friam@redfish.com
        Sent: 11/25/2009 7:15:27 AM 
        Subject: Re: [FRIAM] flocking windmills



        ...that should read "rotate the position of the fans 90 degrees" (it 
was late and I should have been in bed).
          ----- Original Message ----- 
          From: Hugh Trenchard 
          To: nickthomp...@earthlink.net ; The Friday Morning Applied 
Complexity Coffee Group ; Carl Tollander 
          Cc: Friam@redfish.com 
          Sent: Wednesday, November 25, 2009 12:05 AM
          Subject: Re: [FRIAM] flocking windmills



          It looks to me the article addresses this.  When windmills are in a 
conventional "face to the wind" position, they do need to be well spread out in 
order to catch as much wind as possible.  But if you rotate the position 90 of 
the fans degrees so that they are spinning "sideways", they spin with greater 
efficiency when lined up behind each other in zones of lower air resistance.  
The article appears to refer to this fan position as a "vertical" rotation.  
The photo shows "vertically" rotating tube like structures, which are much like 
long fans turned on their sides.  Aligning them in fish school formation 
evidently is the most efficient in terms of space and maximal wattage 
generation.  That's how it all appears to me in any event.

          Hugh Trenchard
            ----- Original Message ----- 
            From: Nicholas Thompson 
            To: Carl Tollander 
            Cc: Friam@redfish.com 
            Sent: Tuesday, November 24, 2009 9:45 PM
            Subject: Re: [FRIAM] flocking windmills


            Sorry, everybody.  What I meant to write was, "Wait a blithering 
moment!!!", suggesting,  at least,  that the metaphor between bunching up 
cyclists and bunching up windturbines was backwards.  Don't you WANT your 
turbines to "feel" the "headwind"?

             Of course I am wrong about this, but I sure would like to 
understand why.

            Nick 

            Nicholas S. Thompson
            Emeritus Professor of Psychology and Ethology, 
            Clark University (nthomp...@clarku.edu)
            http://home.earthlink.net/~nickthompson/naturaldesigns/
            http://www.cusf.org [City University of Santa Fe]




              ----- Original Message ----- 
              From: Carl Tollander 
              To: nickthomp...@earthlink.net;The Friday Morning Applied 
Complexity Coffee Group
              Sent: 11/24/2009 10:13:22 PM 
              Subject: Re: [FRIAM] flocking windmills


              What they lack is mobility - lacking some sort of mobile platform 
maybe they could get together and decide where the next best placement would be 
and tell the manufacturing and installation people.   Some sort of distributed 
instantiation - Group orders another member, turbine shows up in the mail, 
speaks up, says, "I am a wind turbine, the group has determined that it will be 
most efficient if you place me over there." And the humans would go do that, 
since the turbine family was usually right about such things.

              So maybe the turbines "want" some particular configuration, the 
friction is just one criteria.   If they were a phased array antenna (in 
addition to being a group of wind turbines) then they would have additional 
criteria. 

              C

              Nicholas Thompson wrote: 
                Now what a blithering moment.  Cyclists flock to reduce 
friction.  Ditto fish, I suppose.  

                So, turbines want less friction with the wind????? 

                Something screwy here.  

                N 

                Nicholas S. Thompson
                Emeritus Professor of Psychology and Ethology, 
                Clark University (nthomp...@clarku.edu)
                http://home.earthlink.net/~nickthompson/naturaldesigns/
                http://www.cusf.org [City University of Santa Fe]




                  ----- Original Message ----- 
                  From: Roger Critchlow 
                  To: The Friday Morning Applied Complexity Coffee Group
                  Sent: 11/24/2009 7:36:30 PM 
                  Subject: [FRIAM] flocking windmills


                  Same power production as existing wind farms in 100th the 
land area. 


                    
http://sciencenow.sciencemag.org/cgi/content/full/2009/1124/1


                  -- rec --
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          FRIAM Applied Complexity Group listserv
          Meets Fridays 9a-11:30 at cafe at St. John's College
          lectures, archives, unsubscribe, maps at http://www.friam.org 


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      Meets Fridays 9a-11:30 at cafe at St. John's College
      lectures, archives, unsubscribe, maps at http://www.friam.org





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  FRIAM Applied Complexity Group listserv
  Meets Fridays 9a-11:30 at cafe at St. John's College
  lectures, archives, unsubscribe, maps at http://www.friam.org
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