- #1

Erwinux

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How to calculate the outside minimum temperature the heater will maintain the safeguard temperature inside insulated chamber?

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- Thread starter Erwinux
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- #1

Erwinux

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How to calculate the outside minimum temperature the heater will maintain the safeguard temperature inside insulated chamber?

- #2

DaveE

Science Advisor

Gold Member

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So, you should be able to get a good estimate by collecting some power-temperature data and then extrapolate to maximum heater power and the minimum desired temperature.

- #3

erobz

Gold Member

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So you have something like that above.

I think you can apply surface energy balance to the interior/exertion walls to get in the ball park for a steady state solution. Its a bit hand wavy, but it shouldn't be that bad:

Take ## A_s ## to be the exterior surface area of the enclosure

## k ## is the thermal conductivity of the insulation

##L## is the insulation thickness

## h_{int}## is the average convection coefficient inside the enclosure maybe ## 10 \rm{ \frac{W}{m^2 K}}##

## h_{ext}## is the average convection coefficient outside the enclosure could be as high as ## 200\rm{ \frac{W}{m^2 K}}##

## q ## is the maximum output power rating for the heater

Then you get ## T_{int} ## from solving the following relation:

$$ q = A_s \frac{T_{int} - T_{\infty}}{ \frac{1}{h_{int}} + \frac{L}{k} + \frac{1}{h_{ext}} } $$

let me know if you have any questions.

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