Calculating cooling energy
Calculating cooling energy
(OP)
Hello Everyone,
I have come across this rather interesting site in my quest to answer a question which is outside of my normal field. I hope that I can add to the community where I can, but also learn from the wealth of expertise that exists here.
So Normally I am working with materials. Today I would like to solve a problem on heat transfer. At least I think it is heat transfer.
Here is my situation.
I have a corrugated cardboard box with some material inside (solid form block of polymer) the polymer is temperature sensitive. It is in contact with the bottom surface of the box but not the sides or the top.
I would like to transport the box (and contents) by truck. The problem is that it can get very hot in the summer in the back of the truck and I need to keep the box cool.
What I would like to do is: create a mpdel which based on the temperature of the day (assuming the truck is in sunlight) how hot it will get inside the truck and how much heat will get to my substance inside the box and how long it will take.
Eventually I would like to also calculate how much cooling/heat energy I need to take away from the box to keep the contents within a certain temperature range for a given time.
I thought maybe the next steps should be applied:
1, Calculate temp inside the truck
2, Calculate the transfer through the box to the polymer
3, Calculate heat energy to remove to keep the polymer at a certain temp
It has been some time since I carried out anything to do with heat transfer. I would very much appreciate maybe some coaching here from the experts so I can relearn a little some of the theory as well.
Robert
I have come across this rather interesting site in my quest to answer a question which is outside of my normal field. I hope that I can add to the community where I can, but also learn from the wealth of expertise that exists here.
So Normally I am working with materials. Today I would like to solve a problem on heat transfer. At least I think it is heat transfer.
Here is my situation.
I have a corrugated cardboard box with some material inside (solid form block of polymer) the polymer is temperature sensitive. It is in contact with the bottom surface of the box but not the sides or the top.
I would like to transport the box (and contents) by truck. The problem is that it can get very hot in the summer in the back of the truck and I need to keep the box cool.
What I would like to do is: create a mpdel which based on the temperature of the day (assuming the truck is in sunlight) how hot it will get inside the truck and how much heat will get to my substance inside the box and how long it will take.
Eventually I would like to also calculate how much cooling/heat energy I need to take away from the box to keep the contents within a certain temperature range for a given time.
I thought maybe the next steps should be applied:
1, Calculate temp inside the truck
2, Calculate the transfer through the box to the polymer
3, Calculate heat energy to remove to keep the polymer at a certain temp
It has been some time since I carried out anything to do with heat transfer. I would very much appreciate maybe some coaching here from the experts so I can relearn a little some of the theory as well.
Robert





RE: Calculating cooling energy
RE: Calculating cooling energy
Thanks so much for your response. I would be happy to brush up! would you be able to point me in the direction of good online resources?
RE: Calculating cooling energy
Nevertheless, given the probable duration of the transport, the temperature inside will equilibrate to at least the ambient temperature during the transport. You can tack on 10C for solar load.
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers
RE: Calculating cooling energy
Sounds like you want to actively cool a cardboard box inside a truck. Where are you going to put the heat that you take out?
Where are you going to find a power source for your active cooling?
Temperature sensitive products are shipped by truck every day. Don't you think it would be easier to simply ship your box via a temperature controlled truck?
RE: Calculating cooling energy
@MintJulep, Thanks for the initial pointers.
Is there a problem that needs solving? Yes. Max allowable temperature is 27 deg C.
Actively cooling the cardboard box I think is what I want to do. Or prevent the temperature rising over 27 within 3 hrs.
Where am I going to put the heat? good question. back into the truck? I just want to slow down the heating up of the box.
Power source? this will depend on how much heat energy I want to take away, so I wanted to understand this to see if it will be feasible.
Temperature controlled truck is out of the question in this case. The material is kept in a warehouse at around 21, going lower will also affect the product and the cost is to high.
Thanks Guys.
RE: Calculating cooling energy
Passive solution:
> aluminized foil to reflect as much sunlight as possible, but even a sunshade would probably do well, coupled with A LOT of styrofoam. Assume 1 m^3 box, no direct sun, no direct wind, 957 kJ of allowable heating over 3 hr --> 89W. This requires about 4 inches of styrofoam around the block of material to keep the thermal loss under 89W
Active solution:
> passive solution with TE coolers or other active cooling. With 4-in styrofoam, you'd need 89W of cooling to maintain temperature.
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers
RE: Calculating cooling energy
RE: Calculating cooling energy
The package will be in the rear of the truck so it has no exposure to light (I hope). Passive solution is what I was originally thinking. I also thought that there would be a great deal of Styrofoam needed but I had some trouble in identifying the right formulae to calculate this. If you could point me in the right direction I can try different insulating materials and see if I can get a more compact package.
TE coolers sounds also like an interesting solution.
Thanks for the useful tips so far guys - I really appreciate it.
R
RE: Calculating cooling energy
You know the mass / volume of your liquid. You know the specific heat required to heat a unit of your fluid 1 C
Work out how much heat is required to go from 21 to 27C. divide by 60 x 60 x 3 to get heat power in watts.
Work out the square area of the outside of your fluid container.
Heat flow through insulation can then be worked out assuming some sort of air temp in the truck 9 say 40C and a midpoint of your temp, say 24C to even out the heat flow and away you go.
You might also consider just increasing the mass of fluid by say immersing your fluid storage into say a container 5 times the volume filled with water at 21C?? That would need much less insulation and if you do the calculation about heat transfer from air to a solid (convection) then you might not need any insulation at all.
Remember - More details = better answers
Also: If you get a response it's polite to respond to it.
RE: Calculating cooling energy
RE: Calculating cooling energy
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers
RE: Calculating cooling energy
Packing with these inside of a Styrofoam box is what allows the shipment of many products, specialty chocolates being one of them.
= = = = = = = = = = = = = = = = = = = =
P.E. Metallurgy, Plymouth Tube
RE: Calculating cooling energy
TTFN (ta ta for now)
I can do absolutely anything. I'm an expert! https://www.youtube.com/watch?v=BKorP55Aqvg
FAQ731-376: Eng-Tips.com Forum Policies forum1529: Translation Assistance for Engineers
RE: Calculating cooling energy
Thanks again for the help so far. After a bit of study I think I may be able to go to the next step.
I guess my first step before calculating how much heat to remove, so I need to calculate the heat going in.
I am thinking heat balance here with the following equations:
Qt = Qrad + Qconv + Qcond
Qcond = kA(dT/dx)
Qconv = hA(dT)
Qrad = aAs(T^4) (T being outside temp)
k=thermal conductivity
dT=change in temp
dx=distance
h=heat transfer coefficient
a=absorbency
s=Stefan Boltzman constant
Thanks in advance for any feedback
RE: Calculating cooling energy
Your radiative term is going to be astronomical. That term should look like T14-T24 where T1>T2 and both in oR or oK depending of course on your choice of units.
Tunalover
RE: Calculating cooling energy
Do not do anything else until you've done that. Stop playing with equations until you KNOW the truck air temperature. It will be the maximum your product will heat up to.
A standard grocery store "reefer" uses an EXTERNAL motor and cooler to cool the air being recycled from the trailer to the refrigerator by an external A/C unit driven by the truck motor/electrical. Thus, the cooler does not add heat inside the cooled volume at all. The air around the product is maintained cold for the food, and thus the circulating air is well below ALL of the other temperatures: The wall is hottoer, the insulation is hotter, the inner wall is hotter, and the product case (your cardboard box wrapped with foil and insulation foam) is hotter than the circulating air.
But, what is the mass of the product? How often is it shipped the three hour drive? How often are delays and problems occurring en route?