Surface temperature profile of a forced convection in circular tube

MechaMZ
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Hi,

I've did an experiment today, a forced convection in circular tube where the heat flux is constant along the length.

my result seems not follow what it should be..

[PLAIN]http://img688.imageshack.us/img688/8015/expresult.png

what I'm wondering is shouldn't it in a fully developed region, the surface temperature Ts will also increase linearly in the flow direction. but why my surface temperature at the left hand side is increasing until certain point then decreasing along the way to the outlet?

am i right to say because the outlet is not sealed? so it affect the Re and then disturb the heat flux? please correct my assumption if it is wrong.
 
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exit and entrance effects?
 
how long is the pipe and how is the heat being applied?
 
it is about 2 meter in length
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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