- #1
carter7gindenv
- 14
- 1
Hello, I'm working with a thermal property measurement tool (KD2 pro). The manual provide the equations used to measure temperature but I'm not sure that I understand them correctly.
Temperature during heating (equation 1)
T= m0 + m2t + m3 ln(t)
Temperature during cooling (equation 2)
T= m0 + m2t + m3 ln(t/[t-th])
thermal conductivity (k) (equation 3)
k= q/ (4πm3 )
With (according to the manual)
T = Temperature during heating
m0 = Ambiant temperature during heating
m2 = Rate of background temperature drift
m3 = Slope of a line relating temperature rise to log(°T)
th = Heating time
q = heat per unit length
The probe works by heating up and recording the temperature evolution.
Q1. To begin with, m2*t, what does "t" stands for? Time obviously but as th is already "heating time" I don't really get what it relates to. (never stated in the manual)
Q2. I understand that the real temperature is calculated as the sum of 3 parts. However they elude me.
m0 not sure what temperature it is.
m2 the rate of change in temperature, kinda akin to acceleration but again what is background temperature?
m3 the what?
I also suspect that when the manual says "m2 is the rate of background temperature drift" they are actually referring to m2*t and not just to m2. It would also make more sense because otherwise the 3 parameters are defined with mx but would not refer to the same thing.
Deciphering the parameters would already be a big help to me in understanding the whole formula.
My apologies if the post should be in engineering but I thought that it was more physics than engineering.
I also apologies to people who thought that a '90 progressive rock band named Tool made thermal equation.
Thank you for your priceless help. In the meantime I'll try to contact the manufacturer to have more info.
Additional info : The manual can be viewed here and the equations I'm talking about are 57-58 ( I'm only using a single needle probe ).
Temperature during heating (equation 1)
T= m0 + m2t + m3 ln(t)
Temperature during cooling (equation 2)
T= m0 + m2t + m3 ln(t/[t-th])
thermal conductivity (k) (equation 3)
k= q/ (4πm3 )
With (according to the manual)
T = Temperature during heating
m0 = Ambiant temperature during heating
m2 = Rate of background temperature drift
m3 = Slope of a line relating temperature rise to log(°T)
th = Heating time
q = heat per unit length
The probe works by heating up and recording the temperature evolution.
Q1. To begin with, m2*t, what does "t" stands for? Time obviously but as th is already "heating time" I don't really get what it relates to. (never stated in the manual)
Q2. I understand that the real temperature is calculated as the sum of 3 parts. However they elude me.
m0 not sure what temperature it is.
m2 the rate of change in temperature, kinda akin to acceleration but again what is background temperature?
m3 the what?
I also suspect that when the manual says "m2 is the rate of background temperature drift" they are actually referring to m2*t and not just to m2. It would also make more sense because otherwise the 3 parameters are defined with mx but would not refer to the same thing.
Deciphering the parameters would already be a big help to me in understanding the whole formula.
My apologies if the post should be in engineering but I thought that it was more physics than engineering.
I also apologies to people who thought that a '90 progressive rock band named Tool made thermal equation.
Thank you for your priceless help. In the meantime I'll try to contact the manufacturer to have more info.
Additional info : The manual can be viewed here and the equations I'm talking about are 57-58 ( I'm only using a single needle probe ).
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