From:
_http://www.im.pwr.wroc.pl/~hugo/HSC/imprezy/ModellingWeek/reports/Report_pr
oject02.pdf_ 
(http://www.im.pwr.wroc.pl/~hugo/HSC/imprezy/ModellingWeek/reports/Report_project02.pdf) 
 
 
From the heat plots,  there are approximately two to three cells  
horizontally around the heat source (pupae) before reaching ambient.  The  plot does 
not show the heat source w.r.t to the comb width.
 
density (kg m exp-3) specific heat (J kg exp-1 K  exp-1) thermal cond  (W m 
exp-1 K exp-1) heat src (W m  exp-3)
honey  1400               2300                                0.60          
                                        0
pollen  420                 2720                                 0.15       
                                           0
pupae  996                4180                                 0.61         
                                         103
air  1.1774                  1005.7                             0.02624     
                                         0
bee  996                     4180                                0.61       
                                           2:9x10exp5
Table 1: Physical properties of di erent substances occupying a  honeycomb 
cell.
 
cp - speci c heat, k - thermal conductivity and T is
the temperature at  (x,y,t). The function G represents a source of heat. It 
could
be either pupae  or cell-heating bee.
 
If we assume the thermal conductivity of a two cell bee comb width is  
approximately what it is of two cells horizontally on the comb (there will be  
some exposed surface differences) then the thermal conductivity of a two cell 
 comb width is approximately ( with honey) 1.2, (with pollen) 0.30, ( with 
air)  .05248, and (with bee/pupae)  1.22.   If the R value or  insulating 
value is the reciprocal of the thermal conductivity,  then    ( with honey) 
.8333, (with pollen) 3.333, ( with  air) 19.055, and (with bee/pupae)  0.82.
 
This  means that ( with honey) .8333 is 83.33% less insulating  than water 
, (with pollen) 333.3% more insulating than water, ( with air)  1905.5% more 
than water, and (with bee/pupae)  082. % less insulating  than water.  
 
From this I would ascertain that empty cells around the bee nest is the way 
 to go.  This is basicly what the bees have with a band of pollen ( more  
difficult to move  333.3% insulating),  then a band of honey ( easier  to 
move  83.33% insulating)  and then empty cells ( 1905.5%  insulating).  From 
what I remember, the bee nest does have 2-3 empty cells  around it.    
 

Figure 6: Surface integral of temperature function Ti over all pupae  cells 
with
respect to time. The kink in the plots appears at the 10-minute  point where
the problem changes from heating to cooling.
 
I takes approximately 600 seconds for the temperature to reach peak from  
Figure 6 of the 
_http://www.im.pwr.wroc.pl/~hugo/HSC/imprezy/ModellingWeek/reports/Report_project02.pdf_ 
(http://www.im.pwr.wroc.pl/~hugo/HSC/imprezy/ModellingWeek/reports/Report_project02.pdf)         article.
 
 
 
 
 

             ***********************************************
The BEE-L mailing list is powered by L-Soft's renowned
LISTSERV(R) list management software.  For more information, go to:
http://www.lsoft.com/LISTSERV-powered.html

Access BEE-L directly at:
http://community.lsoft.com/scripts/wa-LSOFTDONATIONS.exe?A0=BEE-L