Temperature change through a wall over time intervals 2

[gavinr990]

I'm trying to find the temperature inside a structure if a fire starts on the outside.

The information I have is temperature of the fire and distance from the fire to the wall. I also have (or can assume) all the information about the wall of the building (heat transfer coefficients, thermal conductivity etc.)

What I'm looking for is how the temperature inside the building increase change over time as the fire size increases, peaks and then decreases.

Thermos isn't really my strong point so any help would be fantastic.

Thanks

gav

 

[Yonathan]

Q=CpMdT
take that over the dT time interval and you have the heat rate

 

[zekeman]

Gavin,

I redid this in EXCEL for more clarity.

Hope this answers some of your questions.

If you need further assistance, I will try to help.

As for the transient, I am having trouble uploading it so I may submit in tabular form.

I also did a more refined solution to test how close the solutions might be. I will post the results subsequently.

 

[zekeman]

Finally got around to the transient solution which I present in tabular form.
Note that the target temperature reaches 60+ambient in 0.3 hrs, which is pretty fast.

 

[gavinr990]

thanks zekeman this is fantastic. i'll have a look through the numbers and convert them into metric units and i'll let you know if i have any more questions, but thanks for all your help.

gav