Calculating Thermal Conductance with Excel

Click For Summary
Calculating the overall U-value for a multi-layer wall using Excel involves a complex formula that includes thermal conductance (alpha) values, which are challenging to determine due to their dependence on factors like air speed and temperature. The discussion highlights the need for reliable methods to ascertain these values, as existing literature provides limited context on the conditions under which they were derived. It is suggested that published correlations based on Reynolds' or Rayleigh numbers can aid in finding these coefficients, but they are valid only within specific ranges. The use of computational fluid dynamics (CFD) is also mentioned as a modern approach for such calculations. Overall, the conversation emphasizes the intricacies of heat transfer analysis and the importance of context in determining thermal conductance values.
TSN79
Messages
422
Reaction score
0
I'm using Excel to work out the overall u-value for a wall consisting of several layers. To do this the following formula is used:

<br /> U = {1 \over {{1 \over {\alpha _{outside} }} + {{t_1 } \over {\lambda _1 }} + ... + {{t_n } \over {\lambda _n }} + {1 \over {\alpha _{inside} }}}}<br />

It is the alpha (thermal conductance, W/m2*K) which turns out to be very difficult to determine. Apparently it is a function of many factors like air speed, density, kinematic viscosity etc. If anyone can assist me in finding a way to determine this value for a variety of circumstances, I'd really appreciate it!
 
Engineering news on Phys.org
In air, it may be a combination of conduction and convection. Most heat transfer coefficients are determined from experiment from which a correlation may be developed or the data tabulated.

I don't believe there is a simple formula.
 
I've encountered values for the thermal resistance in litterature, which are 0,13 m2*K/W for inside, and 0,04 outside. The problem is that I don't know for which circumstances these are calculated. How strong winds, temp, etc. I'm hoping some kind of table excists that gives this value for varying circumstances.
 
These days, one would use computational fluid dynamics (CFD) to do calculations. I imagine inside, there is very little convection and the heat transfer is mostly conduction, whereas outside, especially with wind, convection is dominant, and the \Delta T is greater than inside.

I'll look at my texts to see if there examples or simple formulas.

Russ Watters may some good information since (IIRC) he does heating (cooling?) systems.
 
Heat transfer coefficients

You can use published correlations for determining these. It is not very difficult to use the the formulas, but you have to be careful as the correlations are dependent on Reynolds' number or the Rayleigh number and are valid for a limited ranges.

One of the reference books I like is:

Holman, J. P., “Heat Transfer”, 9th Edition, McGraw Hill, New York, 2002. ISBN 0-07-240655-0.

Best wishes.

TSN79 said:
I'm using Excel to work out the overall u-value for a wall consisting of several layers. To do this the following formula is used:

<br /> U = {1 \over {{1 \over {\alpha _{outside} }} + {{t_1 } \over {\lambda _1 }} + ... + {{t_n } \over {\lambda _n }} + {1 \over {\alpha _{inside} }}}}<br />

It is the alpha (thermal conductance, W/m2*K) which turns out to be very difficult to determine. Apparently it is a function of many factors like air speed, density, kinematic viscosity etc. If anyone can assist me in finding a way to determine this value for a variety of circumstances, I'd really appreciate it!
 
What mathematics software should engineering students use? Is it correct that much of the engineering industry relies on MATLAB, making it the tool many graduates will encounter in professional settings? How does SageMath compare? It is a free package that supports both numerical and symbolic computation and can be installed on various platforms. Could it become more widely used because it is freely available? I am an academic who has taught engineering mathematics, and taught the...

Similar threads

Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 16 ·
Replies
16
Views
14K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
4K