What is the thermal resistance of the container around B? You've got an RC
circuit here where the thermal resistance of B's containter is R and the C
is the heat capacity of the fluid B. If the thermal resistance is low, or
the heat capacity is low, the temperatures of A and B might track pretty
closely, with B a little behind A. Also need to consider the RC formed by
the thermal resistance of A and the heat capacity of the containter of B.
This can get tricky since the heat transfer from A to B's container is by
convection instead of by conduction. MUCH more complicated!

Time for an experiement?

Harold


> I'm trying to find out where I can find the following information.  My
> initial google searches have only led me to half the answer.  If you know
> a good source of information on how to solve this I'd appreciate it if
> you'd let me know.  Thanks.
>
> I need to build an aparatus that will heat up a couple of gallons of water
> [max].  But in this tank there will be another container with milk in it.
> The milk cannot be heated directly otherwise the flavor of the end product
> can be affected.
>
> I think a little sketch will help me describe what I need help with.
>
>  ___________
> |    ___    |
> | a |   |   |
> |   | b |   |
> |   |___|   |
> |___________|
>
> First, assume the b container is not in the picture, so, if a is at 0c and
> I need to raise it to 30c in 30 minutes, then I'll need to raise the
> temperature of a by 1 degree per minute.  Easy so far.
>
> But, what I am trying to find out is the rate of change for a if b is at
> 15 and it needs to be at 30 in 30 minutes.  So b will need to heat up at
> 0.5 degree per minute, but what is the rate of change for a in order to
> accomplish this?
>
>
> Thanks.
>
>
> -Mario
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