Re: The Planet
- From: Dave Typinski <nospam@xxxxxxxxxx>
- Date: Wed, 26 Nov 2008 17:45:12 -0500
Chris L Peterson <clp@xxxxxxxxxxxxxxxxxx> wrote:
On Wed, 26 Nov 2008 13:31:31 -0500, Dave Typinski <nospam@xxxxxxxxxx>
wrote:
Lessee... 6 cubic feet per person, 6 bn people, cube root of
36,000,000,000 gives a flesh colored cube about 5/8 of a mile on each
edge. Huh, pretty small! A sphere would be ballpark the same size,
i.e., less than a mile in diameter.
That part's pretty interesting. But now consider that a human at rest
radiates about 100W (and 5-10 times this if they get worked up). You can
take it a few directions from there- the power dissipated by the surface
of the cube, perhaps treating people as water. The internal temperature.
It's worth comparing these numbers to the temperature of the Sun, and
the temperature required to start fusion.
Well, you get a bit over half a terawatt for a bit over an eighth of a
cubic mile... 4 TW/mi^3, 700 GW/mi^2, 25 kW/ft^2. That's gonna be
hot.
But how *do* you analyize the themodynamic equilibrium and calculate
the blackbody radiation of such an assembly? I vaguely remember doing
a 2D problem like this back in school. Hm... any suggestions?
--
Dave
.
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