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Heat Transfer with Die Heater

03/04/2013 9:32 PM

I have a block of aluminium 200x100x25 and I want to heat it to 150°C (ambient temperature is 20°C) with a 500W die heater (240V) 12 diameter x 100 long, how long would it take? Perhaps one of the plastics people have a formula.

Tony

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#1

Re: Heat Transfer with Die Heater

03/04/2013 10:29 PM

May we assume that there is a bore hole in the center of the Al block?

Or, do we heat it from the outside?????????

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#4
In reply to #1

Re: Heat Transfer with Die Heater

03/04/2013 10:49 PM

Sorry Lyn, I missed the obvious, depending on how many I use, there will be 1 or more and the heater put in with heat sink paste.

Tony

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#2

Re: Heat Transfer with Die Heater

03/04/2013 10:46 PM

~3 min...

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#3
In reply to #2

Re: Heat Transfer with Die Heater

03/04/2013 10:48 PM

... depending on how much heat goes elsewhere than into the aluminum.

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#8
In reply to #3

Re: Heat Transfer with Die Heater

03/05/2013 12:52 AM

Well yes it would have to be in an insulated sleeve of some sort...Maybe like a small table top kiln oven made to close fitting spec....

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#5
In reply to #2

Re: Heat Transfer with Die Heater

03/04/2013 10:56 PM

Thanks SolarEagle and Tornado

How much will it shorten the time using 2 and up to 4, 500W heaters. A 200x100 face will be exposed to the 20°C ambient and an extractor fan for fumes will cool that face slightly.

Tony

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#6
In reply to #5

Re: Heat Transfer with Die Heater

03/04/2013 11:51 PM

With 4 you could probably cut it to under 30 sec....

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#7
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Re: Heat Transfer with Die Heater

03/05/2013 12:05 AM

Thank you SolarEagle, that wraps it up.

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#10
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Re: Heat Transfer with Die Heater

03/05/2013 6:36 PM

Heating is a tricky problem.

If you only apply the equation presented the result is about 5' for 500W and >1'for 2000W.

In fact although the Biot criterium is <0.1 the limited heat difusibility leads to a progressive evolution function of power, heater position and time.

In fact as soon as block temperature > ambient some power is lost in convection.

Assuming low convection coefficients of 8...10 W/m²K the times to reach 150°C are for 500W →323 s= 5.4 ' and for 2000 W→1.34'. This shows that convection if free does not very much impacts on results.

Now if on the plate an item is placed it depends on several factors how those times are changed: thermal resistance of contact surface (surface waviness, roughness, area) and difusibility of part placed on the plate as well as its initial temperature.

Here are a couple of temp fields in the assumption that hole temp = 200°C at 10 and 100 s after start or at steady state.

It is interesting to look at the 10" field:at the border the temp difference is still only 5°C.

This shows that the best way is to have at least 2 heaters at roughly 60 mm between them to obtain a more uniform temp field.

I am sure that again somebody will say that such computations are not needed but I think it is worth the effort to give a better feeling for it.

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#11
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Re: Heat Transfer with Die Heater

03/05/2013 7:43 PM

Thanks nick name and ozzb, I used the formula from ozzb, (thank you) and reached 5.4 minutes with 500W, we decided on 3 at 50mm centres due to other considerations. As the small parts will be swapped hot, 2 minutes initial heat is not huge. When I've built it I'll, I'll report back.

Tony

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#12
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Re: Heat Transfer with Die Heater

03/06/2013 4:12 AM

The soft I have does not accept a flux as input. I had to imagine a way to simulate a constant flux and I found it so the following picture is the temp distribution after 120s with a flux of 500 W/heater. The distance between heaters is 50 mm same as you choose.

As you see results are convergent.

As you also see is a more uniform temperature over the width.

Making use of symmetries the picture represents only a quarter of the plate.

Reality is that between heater and wall there is an air layer and air is a good thermal insulation. Due to this the time will be longer but same order of magnitude.

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#13
In reply to #12

Re: Heat Transfer with Die Heater

03/06/2013 7:27 AM

Thanks for that nickname.

I will use a thermal paste when I insert the heaters.

We are not sure what temperatures we will require, but it will be 120°C - 160°C range, from your simulation I would need to place the thermostat sensor close to the centre.

I'm assuming the temperature would stabilise after a few minutes. As aluminium conducts quite well.

Tony

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#14
In reply to #13

Re: Heat Transfer with Die Heater

03/06/2013 12:57 PM

You are right but not only the conductivity is in the game the parameter is the thermal difusibility = k/(ρ*cp) i.e. the specific hea and the specific weight have a negative impact on the speed with which heat travels across the body.

My simulation gives you an indication about the temp differences along the width so knowing the thermostat position you will know approximatively which temp is where.

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#9

Re: Heat Transfer with Die Heater

03/05/2013 7:20 AM

q = m x C x (Tf - Ti)

q = amount of heat energy gained or lost by substance

m = mass of sample

C = heat capacity (J oC-1 g-1 or J K-1 g-1)

Tf = final temperature

Ti = initial temperature

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