From: Subject: "The Many and the Few", Feature Article, July 2007 Date: Sat, 17 Nov 2007 15:31:49 +0100 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----=_NextPart_000_0000_01C8292E.F8AB4EF0" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.3198 This is a multi-part message in MIME format. ------=_NextPart_000_0000_01C8292E.F8AB4EF0 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.memagazine.org/contents/current/features/themany/themany.html "The Many and the Few", Feature Article, July = 2007
3D""=20

3D""=20

the many
and = the=20 few


In a parade of machines, a young engineer saw the = principle=20 that everything flows one way, from high to=20 low.

by Adrian Bejan

ME = 101=20 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.

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.

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.

A statue of French = physicist Denis=20 Papin (1647-1712), one of the inventors of the steam engine. =

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.

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.

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


Freedom=20 Through Steam=20


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.

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.

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.

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.

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.

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.

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.

"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.

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

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.

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.

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.

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


Adrian Bejan is the J.A. Jones = Distinguished=20 Professor of
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.
=20




=20

home | features=20 | breaki= ng=20 news | marketplace=20 | departments=20 | about = ME back = issues | ASME | site = search=20

=A9 2007 by The American = Society of=20 Mechanical Engineers

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