Steve, 

Before you came on FRIAM, during the slandering phase of my presentation, I 
argued that a cloud consisted of a complex surface each point on which met the 
following condition: the dewpoint temperature of the air of the air is equal to 
the ambient temperature of the air.   Furthermore, "inside" this boundary, the 
dewpoint temp is above the ambient temperature, and outside it is below.  Both 
dewpoint temperature This explains why cumulus clouds have flat bottoms: 
cumulus clouds are visualization of rising columns of air. As the air rises, 
its pressure and temperature fall, and when they fall below the dewpoint, we 
see the cloud.. Now this, like any description, is a model, and leaves out a 
lot of complexity.  One of the complexities omitted is the fuzziness of the 
boundary, particularly at the top of the cloud.  Another complexity left out by 
the model is supper cooled water vapor, which I gather occurs because water, to 
condense, has to find some particle to condense on.  So there are parts of the 
cloud that are saturated but no condensation has occurred.  In a fire cloud, I 
gather, not only does the fire add water vapor, it adds soot, so, I am 
guessing, condensation occurs more rapidly and also, guess heaped upon a guess, 
the release of the latent heat in the water vapor also occurs more vigorously 
than in  a column of non fire related cumulus.  A third complexity arises from 
the heat realized by the freezing of the condensed water.  This two, requires 
nuclei, and so is delayed way above the freezing level of the atmosphere.  When 
the rising column hits the stratosphere, there is a temperature inversion and 
further lifting ceases and the cloud, now ice crystals, spreads out laterally 
in the characteristic anvil.  

This all I believe because it was shown unto me by God.  If God was wrong about 
any of this, I do hope all you former pilots will correct me. 

Some day I am going to take a meteorology course.  Perhaps I will enroll in a 
meteorology program when I am 85.  

Nick  

Nicholas Thompson
Emeritus Professor of Ethology and Psychology
Clark University
[email protected]
https://wordpress.clarku.edu/nthompson/
 


-----Original Message-----
From: Friam <[email protected]> On Behalf Of Steve Smith
Sent: Friday, June 5, 2020 8:30 PM
To: The Friday Morning Applied Complexity Coffee Group <[email protected]>
Subject: Re: [FRIAM] Manifold Clarification


> I said that no physical object is a manifold.  This may be a better 
> answer to Nick's question.  The envelope of a cloud, if it could be 
> defined, might be a manifold depending on cusps etc.  Those might be 
> handled by combining manifolds of different dimensions.  This would 
> not be a realizable project in my opinion.
>
> Frank

More likely darn near a fractal surface... down to the size of a condensed 
droplet of water?  Ken Perlin's cloud-modeling comes to mind (multi-scale if 
not literally fractal).

But model(ed/able) as an idealized manifold based on the triple-point of water 
(or is that only clouds forming hail or sleet?) 

Nick? mentioned "shroud" which I don't think has a mathematical definition but 
i took it to mean something like a convex-hull (shrink-wrapped surface).  From 
work with Stephen on using imagery of clouds (or plumes) to calibrate cameras 
and to estimate their shape as a function of time, we have looked at things 
like silhouette analysis.  

Clouds and plumes are not entirely opaque and I believe that is because they 
are "porous'...   I'm not sure if there are examples in nature of fully 
saturated water vapor...  maybe only in a vacuum?   Clouds are (I'm pretty 
sure) condensed droplets of water vapor dispersed among air molecules (I 
suppose I could read up  more on cloud science).  Plumes (smoke from a 
wildfire) are a little more complex but have a significant component of water 
vapor/droplets as well as hydrocarbon particulates? Guerin is surely much more 
up on this.   During the 2011 Cerro Grande Fire, we had *baked* pine needles 
settling around our property... they were not burned, but may have been fully 
charred (all volatiles pyrolized), probably in such an oxygen poor environment 
that they couldn't burn.   This was probably a "sorting" process... smaller 
bits may have traveled further while larger ones (twigs and branches) fell 
short(er)...  

- Steve



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