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I'm pretty sure that the best, "most correct" way of "averaging" two heat transfer coefficients c1 and c2 for ONI purposes is:

c(average) = 1/(1/c1 + 1/c2) = c1*c2/(c1 + c2)

Edit: I was wrong by factor of two - it should probably be standard harmonic mean. See my later post:

 

Edited by Kasuha
  • Like 4
1 hour ago, watermelen671 said:

What does this even mean?

...Does this mean I have to update my neat little critter sheet? I JUST FINISHED THAT!!! :wilson_cry:

It mean's that, for example: If a hatch lays a stone hatch egg, it should now look like a stone hatch egg instead of a hatch egg, and vice versa.

And no, you don't have too update the sheet.

52 minutes ago, onebit said:

Average of 0 and 1.

Arithmetic: (0 + 1) / 2 = .5

Geometric: [(0+1) x (1 + 1)]^(1/2) - 1 = .41

Not much difference and higher computational cost.

@Nemez Double every wall.

The geometric mean is the square root of the product, so 0 and 1 would have a geometric average of 0. Abyssalite and anything else would be roughly sqrt(1e-5 * 1) or 0.003.

20 minutes ago, Kasuha said:

I'm pretty sure that the best, "most correct" way of "averaging" two heat transfer coefficients c1 and c2 for ONI purposes is:

c(average) = 1/(1/c1 + 1/c2) = c1*c2/(c1 + c2)

Fourier's law for two bodies in contact (area = 1 = 1*1) ?

31 minutes ago, Kasuha said:

I'm pretty sure that the best, "most correct" way of "averaging" two heat transfer coefficients c1 and c2 for ONI purposes is:

c(average) = 1/(1/c1 + 1/c2) = c1*c2/(c1 + c2)

This really is the best way to handle it. Since there's no square roots involved it should be mathematically simple for the game to calculate.

Technically the formula to determine the heat transfer through a pipe from the liquid to the surround atmosphere is U = 1/[(1/h1)+(dw/k)+(1/h2)] Where h1 and h2 are the heat transfer coefficients of the fluids, k is the conductivity of the pipe, and dw is the pipe's thickness.

1 hour ago, Saturnus said:

Well, at least it was mentioned in the update notes. A very effective way to heat death the entire map quite fast I must say.

Guess we'll go back to the vacuum separated outer walled dwarven fortresses we made a year ago before abyssalite was a thing you could build stuff from. We have come full circle it seems.

Fortunately, Borg Cubes still work so we'll have to rely on those a lot more than before to have any chance of making a sustainable base, I guess.

"Fortunately" my arse... :D

What an incredibly silly change. So once a piece of the asteroid is revealed, it begins to average out in temperature. Genius.... :p

Looking forward to the incoming reverts for final release.

  • Like 3

This averaging of heat coefficients does not make any sense physically or gameplay wise! Thermal conductivity is mathematically the same as electrical resistance. If you have a 1 ohm resistor in series with a 1,000,000 ohm resistor, you do not use the arithmetic average of 500,000! The resistance should be the sum of both!

Edited by QuantumPion
  • Like 1

Actually the problem with using the standard equation for thermal resistance is that then materials wind up with much lower conductivity than normal. For instance a block of copper conducting heat to a block of copper would do so at 30 W/k rather than 60.

The more I look into it, the more I think the geometric mean will create values that "feel" right to people.

Of course, given that square roots are a bit more processor heavy than you'd want for something that is calculated for thousands of blocks a tick, it might be best to create a lookup table of material interface conductances.

  • Like 2
19 minutes ago, regault said:

The more I look into it, the more I think the geometric mean will create values that "feel" right to people.

Of course, given that square roots are a bit more processor heavy than you'd want for something that is calculated for thousands of blocks a tick, it might be best to create a lookup table of material interface conductances.

This, exactly. I've played around with the numbers for a bit (see below). The original (minimum) formula breaks radiance (assuming that it's implemented as a constant factor, analogous to insulation before). The arithmetic mean kills insulation between solids. Kasuha's proposal causes self-conductance issues as you noted, but even if you "fix" those (say, by doubling the result), naive radiance still doesn't do what one would expect. The geometric mean looks much more reasonable.

conductivity examples.png

6 minutes ago, pnambic said:

This, exactly. I've played around with the numbers for a bit (see below). The original (minimum) formula breaks radiance (assuming that it's implemented as a constant factor, analogous to insulation before). The arithmetic mean kills insulation between solids. Kasuha's proposal causes self-conductance issues as you noted, but even if you "fix" those (say, by doubling the result), naive radiance still doesn't do what one would expect. The geometric mean looks much more reasonable.

conductivity examples.png

Factors: Insulated 0.03125(1/32), radiant 32

  • Like 2
50 minutes ago, QuantumPion said:

This averaging of heat coefficients does not make any sense physically or gameplay wise! Thermal conductivity is mathematically the same as electrical resistance. If you have a 1 ohm resistor in series with a 1,000,000 ohm resistor, you do not use the arithmetic average of 500,000! The resistance should be the sum of both!

Electrical engineer here.. Wouldn't thermal conductivity be more like resistors in parallel?  If that's the case, then I can see why heat is ignoring the insulators.  1/1 + 1/1000000 = 1.000001 = 1/R-total, so R-total would be 0.999999 -- Basically 1.

3 minutes ago, pnambic said:

Serves me right for trusting that Wiki. ;) Thanks! The radiance factor is insane.

conductivity examples.png

Sorry, I did a roughly check again just now. I found results are more complex than I thought. Insulated pipe 0.03125(1/32), radiant pipe 32, insulated tile 0.01, Thermo Regulator 5, LogicGate 0.05.

  • Like 1
4 minutes ago, pnambic said:

Serves me right for trusting that Wiki. ;) Thanks! The radiance factor is insane.

conductivity examples.png

Very nice stuff.

 

Its very clear why the Arithmetic mean caused such chaos. From my eyes, looks like geometric mean is the clear choice.

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