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Subject: "The Many and the Few", Feature Article, July 2007
Date: Sat, 17 Nov 2007 15:31:49 +0100
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<META=20
content=3D"In a parade of machines, a young engineer saw the principle =
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      <P><FONT face=3DArial color=3D#808000 size=3D+4>the many <BR>and =
the=20
      few</FONT><FONT face=3DArial color=3D#f16803><BR><FONT=20
      face=3D"Lucida Sans Unicode"><BR><FONT face=3DArial =
color=3D#808000><B><FONT=20
      color=3D#008000>In a parade of machines, a young engineer saw the =
principle=20
      that everything flows one way, from high to=20
      low.</FONT></B></FONT></FONT></FONT> </P></TD></TR>
  <TR>
    <TD vAlign=3Dtop align=3Dright width=3D90 height=3D2>
      <P><FONT color=3D#000000 size=3D2>by Adrian Bejan </FONT></P></TD>
    <TD align=3Dleft width=3D384 height=3D2>
      <P><FONT face=3DArial color=3D#400080 size=3D+3><FONT =
face=3D"Lucida Sans Unicode"=20
      color=3D#8000ff><B><FONT face=3DArial color=3D#808000 size=3D+2>ME =
101=20
      </FONT></B></FONT></FONT>is the number of the thermodynamics =
course in=20
      mechanical engineering at Duke University. I cannot think of a =
better=20
      course for "ME101." It was put on the books by the old professors, =
the=20
      ones who had the vision to build Duke many decades ago. Today, I =
am sure,=20
      thermodynamics would get a less memorable course =
number.<BR><BR>Times=20
      change. Generations replace generations, but the principles =
remain.=20
      Contrivances, gadgets, and fads are the opposite. They parade in =
front of=20
      our eyes, but their impact on the "thin book" of fundamentals is=20
      nil.<BR><BR>I was reminded of this recently. I had just finished =
teaching=20
      thermodynamics for the semester when I visited two colleagues in =
Paris.=20
      With them I use constructal theory to predict the global weather. =
They=20
      work in a historic university called The National Conservatory of =
Arts and=20
      Professions (CNAM), a few blocks north of the Pompidou Center. It =
is=20
      historic for many ideas that persist today: evening classes for =
co-op=20
      students, continuing education, and the first museum of technology =
in the=20
      world.<BR><BR>
      <TABLE cellSpacing=3D2 cellPadding=3D2 width=3D169 align=3Dleft =
border=3D0>
        <TBODY>
        <TR>
          <TD><IMG height=3D353=20
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          <TD height=3D74><FONT size=3D-1><B><I>A statue of French =
physicist Denis=20
            Papin (1647-1712), one of the inventors of the steam engine. =

            </I></B></FONT></TD></TR></TBODY></TABLE>
      <P>CNAM has a 300-year-old edifice with towers, an inner court, =
statues,=20
      clocks, and history that is chiseled in stone. In the front court, =
there=20
      is the statue of Denis Papin and the first piston-and-cylinder =
machine=20
      that expanded steam to produce work (1690). This was before the =
engine=20
      builders of Britain, and 80 years before James Watt.<BR><BR>Around =
the=20
      buildings, and around the ceilings of the oldest and most =
decorated=20
      classrooms, are the names of professors and students who breathed =
at CNAM.=20
      One name is Sadi Carnot. Without his work there would be no=20
      thermodynamics, engineering, or standard of living as we know them =

      today.<BR><BR>Early in the 19th century, Sadi Carnot was a young =
engineer,=20
      not unlike my students today. He had graduated from the =C9cole=20
      Polytechnique. Tradition holds that he came to CNAM to =
contemplate, to=20
      think in quiet about the army of contrivances that was invading =
France:=20
      the steam engines. The industrial revolution was on the march. =
Britain had=20
      industrialized itself in the 1700s. A century later, it was the =
turn of=20
      the Continent to do the same.=20
      <P align=3Dcenter><BR><FONT color=3D#008000><B><FONT =
face=3DArial>Freedom=20
      Through Steam</FONT></B></FONT>=20
      <P><BR>Why were the steam engines invading? Because their effect =
on=20
      people's lives was good. It was dramatic. Engines were empowering =
people.=20
      They were liberating serfs, slaves, and animals. They were =
facilitating=20
      the movement of humanity all over the globe.<BR><BR>Sadi Carnot =
came to=20
      CNAM to study the machines that were on display. They were built =
by many=20
      hands-on engineers in Britain. These "many" fed the imagination of =
one=20
      individual. In turn, today Sadi Carnot's mental viewing feeds the =
minds of=20
      enormous numbers of builders of all sorts of machines throughout =
the=20
      world.<BR><BR>The principle that Sadi Carnot saw in that parade of =

      machines is that everything flows one way, from high to low. Water =
flows=20
      through a pipe from high pressure to low pressure. Heat flows from =
high=20
      temperature to low temperature. This principle is known today as =
the=20
      second law of thermodynamics, irreversibility, dissipation, =
inefficiency,=20
      one way, water under the bridge, etc. Today, this is =
thermodynamics, the=20
      science of everything that kicks and moves.<BR><BR>The new =
principle that=20
      Carnot's visit at CNAM illustrates today is that one individual =
sustains=20
      the crowd, and vice versa. The big river sustains the many tiny =
streams of=20
      the river basin.<BR><BR>The reverse is equally true: The numerous =
sustain=20
      the singular. The river basin, like the tree of the lung, connects =
an=20
      entire area or volume to one point=97flow resistances allocated to =
areas and=20
      volumes, all over the world, so the whole world flows best. This =
principle=20
      is the "constructal law"; to read more, see=20
      www.constructal.org.<BR><BR>Both principles=97the second law and =
the=20
      constructal law=97are in action. Their footprints persist, like =
the river=20
      beds and the beaten tracks. The river and the caravan that do not =
follow=20
      their beds and beaten tracks do not get far.<BR><BR>No flow system =
is an=20
      island. No river exists without its wet plain. No human settlement =
thrives=20
      without its farmland and open spaces. Everything that flowed to =
this day=20
      to "survive" is in an optimal balance with the flows that surround =
it and=20
      sustain it. The airflow to the alveolus is optimally matched to =
the blood=20
      flow through the vascularized tissue, and vice=20
      versa.<BR><BR>"Vascularized" is a good name for the energy systems =
that=20
      thermodynamics covers. The tissues of energy flows, like the =
fabric of=20
      society and all the tissues of biology, are optimized =
architectures. The=20
      climbing to this high level of performance is the =
transdisciplinary=20
      effort: the balance between seemingly unrelated flows, =
territories, and=20
      disciplines. This balancing act=97the optimal distribution of=20
      imperfection=97generates the very design of the process, power =
plant, city,=20
      geography, and economics.<BR><BR>
      <TABLE cellSpacing=3D2 cellPadding=3D2 width=3D360 border=3D0>
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          <TD height=3D85><FONT size=3D-1><B><I>All things that flow =
follow=20
            certain principles, whether it is the constructal design for =
maximum=20
            flow access from the center to the edge of a circle, or the =
delta of=20
            the River Lena in northern Siberia. The flow goes from high =
to low,=20
            with hierarchy and multiple scales.=20
      </I></B></FONT></TD></TR></TBODY></TABLE>
      <P>The need for considering the whole=97the macroscopic =
system=97is great and=20
      universal. No matter how successful we are in discovering and=20
      understanding small-scale phenomena and processes, we are forced =
to face=20
      the challenge to assemble the invisible elements into palpable =
devices.=20
      The invisible grains must be kept alive with flows, which connect =
them and=20
      serve them. The challenge is to construct=97that is, to connect =
and optimize=20
      while assembling.<BR><BR>This challenge is becoming increasingly=20
      difficult. While the smallest scales are becoming smaller, the =
number of=20
      components and the complexity of the useful device (always =
macroscopic)=20
      become greater. <BR><BR>A good example is the rush to =
nanotechnology.=20
      Technology means more than the new physical phenomena that may =
appear on=20
      the frontiers of progressively smaller scales. A technology is =
truly new=20
      when it is made useful in the form of macroscopic devices that =
improve our=20
      lives. Usefulness means that we must discover principles of =
constructing,=20
      connecting, and packing multiscale flow systems into macroscopic=20
      spaces.<BR><BR>And so I return to the start of this article. The =
new=20
      gadgets are like the engines in the invasion contemplated by =
Carnot. It's=20
      certain they will all be forgotten, unless there is a Sadi Carnot=20
      watching, to see a pattern and immortalize it with a short page in =
the=20
      thin book of principles. This happens only rarely, and when it =
does, it=20
      illustrates again the constructal principle of "one sustains the =
crowd."=20
      <P><BR><I><B><FONT size=3D-1>Adrian Bejan is the J.A. Jones =
Distinguished=20
      Professor of <BR>Mechanical Engineering at Duke University in =
Durham, N.C.=20
      His research covers thermodynamics, natural convection, heat and =
mass=20
      transfer, convection in porous media, and the constructal theory =
of=20
      organization in nature.</FONT></B></I>=20
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